Please use Triangle Inequality to solve. I'm quite confused... Or at least help me with this T T

Answers

Answer 1

The value of 'x' evaluated on the basis of angle sum property is 31 & arranged length of sides of given triangle ΔEBD from longest to shortest is DE > BD > BE

What is a triangle?

A triangle is a three-sided polygon with three vertices that is constructed using segments of straight lines. The triangle's angles are created by connecting the three line segments that make up its sides end to end at a single point. Angle sum attribute states that the sum of the triangle's three angles is 180 degrees. Triangle inequality asserts that the third side is greater than or equal to the sum of any two triangle sides.

Given that

∠ABC=(4x)°

∠BED=(5+x)°

∠BDF=160°

a)Find 'x'

consider ΔBED,

∠ABC=∠EBD {vertically opposite angles}

∴∠EBD=(4x)°

∠BDF+∠BDE=180° {angles on straight line}

∠BDE=180-160

∠BDE=20°

We know that ∠EBD+∠BDE+∠DEB=180° {angle sum property}

4x + 20 + (5+x)=180°

4x + 20 + 5 + x = 180°

5x + 25 = 180°

5x = 180 - 25

5x = 155

x = 31

b)Arrangement of sides from the longest to the shortest:

Based on the value of 'x', the angles of triangle ΔEBD:

∠EBD=4x=4 . 31 = 124°

∠BED=5 + x= 5 + 31 = 36°

∠BDE=20°

We know that the side opposite to the larger angle is the longest and that of the  least angle is the shortest.

∴Side opposite to the largest angle ∠EBD=124° is DE

side opposite to the least angle ∠BDE=20° is BE

∴Descending order of sides of ΔEBD is DE > BD > BE

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Related Questions

The area of a rectangle is 8811m if the width of the garden is 89 m what’s the length

Answers

The length of the garden is 99 m.

What’s the length?

The formula for the area of a rectangle is:

Area = Length x Width

We are given that the area of the rectangle is 8811 [tex]m^{2}[/tex] and the width is 89 m. Substituting these values into the formula, we get:

8811 [tex]m^{2}[/tex] = Length x 89 m

To solve for the length, we can divide both sides of the equation by 89 m:

Length = 8811 [tex]m^{2}[/tex] / 89 m

Simplifying, we get:

Length = 99 m

Therefore, the length of the garden is 99 m.

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A line passes through the point (-8, 5) and has a slope of - 5/4.
Write an equation in slope-intercept form for this line.
Helpp​

Answers

[tex]y=-\frac{5}{4}x -5[/tex]Answer:



Step-by-step explanation:

A large rectangular prism is 5 feet long, 3 feet wide, and 4 feet tall. A small rectangular prism is 2.5 feet long, 1.5 feet wide, and 2 feet tall.
How many small prisms would it take to fill the large prism?
Write your answer as a whole number or decimal. Do not round.

Answers

The answer of the given question based on the  rectangular prism is , , it would take 8 small rectangular prisms to fill the large rectangular prism.

What is Rectangular prism?

A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional solid object that has six rectangular faces, with opposite faces being congruent and parallel. It is a special case of a parallelepiped in which all angles are right angles and all six faces are rectangles.

To find how many small rectangular prisms will fit inside the large rectangular prism, we need to calculate the volume of each prism and then divide the volume of the large prism by the volume of the small prism.

The volume of the large prism is:

V_large = length × width × height = 5 ft × 3 ft × 4 ft = 60  feet³

The volume of the small prism is:

V_small = length × width × height = 2.5 ft × 1.5 ft × 2 ft = 7.5  feet³

Dividing the volume of the large prism by the volume of the small prism, we get:

number of small prisms = V_large / V_small = 60 ft³ / 7.5 ft³ = 8

Therefore, it would take 8 small rectangular prisms to fill the large rectangular prism.

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What is the equation of the line in slope-intercept form?

Answers

Answer:

y = 3/5x + 3

Step-by-step explanation:

points on the graph

(-5,0) and (0,3)


0- 3 = -3

-5 - 0 = -5

-3/-5= 3/5


y = 3/5x + B

use a point from the graph

3 = 3/5 x 0 + B

3 = 0 + B

3 -0 = 3

3 = B

check answer

(-5,0)

Y = 3/5 x -5 + 3

Y = -15/3 + 3

Y = -3 + 3

Y = 0

Making the equation true y = 3/5x + 3

a survey reports that 67% of college students prefer to drink more coffee during the exams week. if we randomly select 80 college students and ask each whether they drink more coffee during exams week. what is the probability that at most 60 say that they drink coffee during exam week?

Answers

From that 80 college students, the probability that at most 60 say that they drink coffee during exam week  is 0.3085

This is a binomial distribution problem in which we want to know the probability it is that at least 60 students out of 80 choose to drink coffee during test week.

Here, we have:

n = 80 (number of trials)

p = 0.67 (probability of success in each trial)

q = 1 - p = 0.33 (probability of failure in each trial)

x ≤ 60 (number of successes we want to find the probability for)

This probability may be calculated using the binomial cumulative distribution function (CDF). The binomial CDF formula is as follows:

P(X ≤ k) = Σi=[tex]0^{K}[/tex] ([tex]_{n}C^{i} }[/tex]) * [tex]p^{i}[/tex] * ([tex](1-p)^{n-i}[/tex]

We can determine the chance of having 60 or fewer successes using this formula:

P(X ≤ 60) = Σi=[tex]0^{60}[/tex] ([tex]_{80} C^{i}[/tex]) * [tex]0.67^{i}[/tex] * [tex]0.33^{80-i}[/tex]

P(X ≤ 60) = 0.3085

As a result, the probability that at least 60 college students claim they consume coffee during test week is 0.3085, or around 31%. As a result, 0.3085 is the correct answer.

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Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The equivalent exponential expression for this problem is given as follows:

A. 4^15 x 5^10.

How to simplify the exponential expression?

The exponential expression in the context of this problem is defined as follows:

[tex]\left(\frac{4^3}{5^{-2}}\right)^5[/tex]

To simplify the expression, we must first apply the power of power rule, which means that when one exponential expression is elevated to an exponent, we keep the base and multiply the exponents, hence:

4^(15)/5^(-10)

The negative exponent at the denominator means that the expression can be moved to the numerator with a positive exponent, hence the simplified expression is given as follows:

4^15 x 5^10.

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what values, rounded to the nearest whole number, complete the quadratic regression equation that models the data?

Answers

After completing the following steps, you will have the quadratic regression equation that models the data with values rounded to the nearest whole number. Keep in mind that you'll need specific data points to provide an actual equation.

To find the values that complete the quadratic regression equation for a given set of data, you'll need to follow these steps:

1. Organize the data points into a table with x-values and y-values.
2. Determine the sums of x, y, x², x³, x⁴, and xy.
3. Create a system of linear equations using the sums found in step 2.
4. Solve the system of linear equations to find the coefficients a, b, and c.
5. Write the quadratic regression equation in the form y = ax² + bx + c, rounding the coefficients to the nearest whole number.

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an agency has specialists who analyze the frequency of letters of the alphabet in an attempt to decipher intercepted messages. suppose a particular letter is used at a rate of 6.6%. what is the mean number of times this letter will be found on a typical page of 2650 characters? 174.9 what is the standard deviation for the number of times this letter will be found on a typical page of 2650 characters ? round your answer to 1 decimal place. in an intercepted message, a page of 2650 characters is found to have the letter occurring192 times. would you consider this unusual?

Answers

Standard deviation normal distribution table or calculator to determine the probability of observing a z-score of 1.3 or higher.

The probability is approximately 0.0968, or 9.68%.

To determine the mean number of times the letter appears on a page, we can multiply the probability of the letter appearing (0.066) by the total number of characters on the page (2650):

[tex]Mean = 0.066 \times 2650 = 174.9[/tex]

To calculate the standard deviation, we can use the formula:

Standard deviation = [tex]\sqrt(n \times p \times q)[/tex]

n is the sample size (2650), p is the probability of success (0.066), and q is the probability of failure [tex](1 - p = 0.934)[/tex].

Standard deviation = [tex]sqrt(2650 \times 0.066 \times 0.934) = 13.2[/tex] (rounded to 1 decimal place)

Determine whether 192 occurrences of the letter on a page is unusual, we can use the z-score formula:

z = (x - mean) / standard deviation

x is the observed number of occurrences (192), mean is the expected number of occurrences (174.9), and standard deviation is the standard deviation we just calculated (13.2).

[tex]z = (192 - 174.9) / 13.2 = 1.3[/tex]

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Divide and write your answer in standard notation to the nearest whole number with commas.

Answers

Answer:

The answer is 1×10⁶ to the nearest whole number

Step-by-step explanation:

7.6×10⁰/5.4×10‐⁶

7.6×10^(0-(-6)/5.4

7.6×10^(0+6)/5.4

7.6×10⁶/5.4

=1×10⁶ to the nearest whole number

Kubin Company’s relevant range of production is 25,000 to 33,500 units. When it produces and sells 29,250 units, its average costs per unit are as follows: Average Cost per Unit Direct materials $ 8. 50 Direct labor $ 5. 50 Variable manufacturing overhead $ 3. 00 Fixed manufacturing overhead $ 6. 50 Fixed selling expense $ 5. 00 Fixed administrative expense $ 4. 00 Sales commissions $ 2. 50 Variable administrative expense $ 2. 00 Required: 1. For financial accounting purposes, what is the total amount of product costs incurred to make 29,250 units? 2. For financial accounting purposes, what is the total amount of period costs incurred to sell 29,250 units? 3. For financial accounting purposes, what is the total amount of product costs incurred to make 33,500 units? 4. For financial accounting purposes, what is the total amount of period costs incurred to sell 25,000 units? (For all requirements, do not round intermediate calculations. )


1. Total amount of product costs

2. Total amount of period costs incurred

3. Total amount of product costs

4. Total amount of period costs

Answers

For the relevant range of production of units total amount of product and period cost as per units are,

Total amount of product costs for 29,250 units is $687,375.

Total amount of period costs incurred for 29,250 units is $58,511.50

Total amount of product costs for 33,500 units is equal to $787,250.

Total amount of period costs for 25,000 units  is equal to $50,011.50.

Average Cost per Unit Direct materials  = $ 8. 50

Direct labor = $ 5. 50

Variable manufacturing overhead = $ 3. 00

Fixed manufacturing overhead = $ 6. 50

Fixed selling expense  = $ 5. 00

Fixed administrative expense = $ 4. 00

Sales commissions = $ 2. 50

Variable administrative expense = $ 2. 00

Total unit produced = 29,250 units,

Total product costs

= (Direct materials + Direct labor + Variable manufacturing overhead + Fixed manufacturing overhead) x Number of units produced

= ($8.50 + $5.50 + $3.00 + $6.50) x 29,250

= $23.50 x 29,250

= $687,375

The total amount of product costs incurred to make 29,250 units is $687,375.

Total period costs

= Fixed selling expense + Fixed administrative expense + Sales commissions + (Variable administrative expense x Number of units sold)

= $5.00 + $4.00 + $2.50 + ($2.00 x 29,250)

= $5.00 + $4.00 + $2.50 + $58,500

= $58,511.50

The total amount of period costs incurred to sell 29,250 units is $58,511.50

For the number of units produced changed to 33,500.

Total product costs

= (Direct materials + Direct labor + Variable manufacturing overhead + Fixed manufacturing overhead) x Number of units produced

= ($8.50 + $5.50 + $3.00 + $6.50) x 33,500

= $23.50 x 33,500

= $787,250

The total amount of product costs incurred to make 33,500 units is $787,250.

The number of units sold changed to 25,000.

Total period costs

= Fixed selling expense + Fixed administrative expense + Sales commissions + (Variable administrative expense x Number of units sold)

= $5.00 + $4.00 + $2.50 + ($2.00 x 25,000)

= $5.00 + $4.00 + $2.50 + $50,000

= $50,011.50

The total amount of period costs incurred to sell 25,000 units is $50,011.50.

Therefore, the total amount of the product and period cost for different situations are,

Total amount of product costs is equal to $687,375.

Total amount of period costs incurred is equal to $58,511.50

Total amount of product costs is equal to $787,250.

Total amount of period costs is equal to $50,011.50.

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PLEASE HURRY
ANSWER ASAP AND PLEASE BE CORRECT FOR BRAINLIST

Question 12


A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?


There were about 193 principals in attendance.

There were about 260 principals in attendance.

There were about 557 principals in attendance.

There were about 680 principals in attendance.


Question 13


A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.



Ice Cream Candy Cake Pie Cookies

81 9 72 36 27



Which statement is the best prediction about the number of cookies the college will need?

The college will have about 480 students who prefer cookies.

The college will have about 640 students who prefer cookies.

The college will have about 1,280 students who prefer cookies.

The college will have about 1,440 students who prefer cookies.


Question 14


A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.



Sport Basketball Baseball Soccer Tennis

Number of Students 17 12 27 44



Which of the following graphs correctly displays the data?

histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44

histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44

bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44

bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44


Question 15


The line plots represent data collected on the travel times to school from two groups of 15 students.


A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.


A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.


Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.


Bus 18, with a median of 13

Bus 47, with a median of 16

Bus 18, with a mean of 13

Bus 47, with a mean of 16

Answers

12) There were about 557 principals in attendance. 13) Option A: The college will have about 480 students who prefer cookies. 14) Option C: bar graph, title favorite sport and the x axis labeled sport and the y axis.

What is proportion?

A percentage is a relationship between two values that have the same units and scale and are measured in different amounts. Proportions, which show the relative size or magnitude of one number in comparison to another, are frequently stated as ratios, fractions, or percentages. A class with 8 girls and 12 boys, for instance, has a girl-to-boy ratio of 8:12, or 2:3, which indicates that there are 3 guys for every 2 girls in the class. Numerous branches of mathematics and science, such as statistics, geometry, and physics, use proportions. In statistics, proportions are frequently used to describe how a population or sample is distributed.

12) For the number of principals in conference we set up a proportionality with total people as follows:

We know that, 52 principals out of 70 people thus:

52/70 = x/750

Now,

x = (52/70) * 750

x = 557.14

Hence, we can predict that there were about 557 principals in attendance at the conference.

13) Given that, out of 225 students 27 prefer cookies thus,

27/225 = 0.12

That is 12% students like cookies.

Now, for the total number of students we have:

0.12 * 4000 = 480

Thus, option A: The college will have about 480 students who prefer cookies.

14) For the collected data the best representation is option C: bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44.

15) For the given description of the line plot the median is:

For Bus 47 = 16

For Bus 18 = 13

The faster bus is Bus 47, with a median of 16.

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in the chi square test for independence, the null hypothesis and the research hypothesis select one: a. always contradict each other b. always agree with each other c. are never actually stated d. are usually both rejected

Answers

In "Chi-Square-test" for the inde-pendence, "re-search-hypothesis" and "null-hypothesis" always contradict each other, the Option(a) is correct.

In the "Chi-Square" test for independence, the "Null-Hypothesis" (H₀) assumes that there is no association between the two categorical variables being tested, while the research hypothesis (Hₐ) proposes that there is a significant association between the variables.

These hypotheses are mutually exclusive and contradictory to each other.

If the "null-hypothesis" is rejected based on the results of the chi-square test, it implies that there is evidence to support the "research-hypothesis",  which indicates that there is a significant association between the variables.

Conversely, if "null-hypothesis" is not rejected, it suggests that there is not enough evidence to support the "research-hypothesis", and the conclusion would be that there is no significant association between the variables.

Therefore, the correct option is (a).

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Ashanti works at a T-shirt shop, She sold 15 T-Shirts. Of the shirts she sold, 3 were blue. What is the experimental probability that the next shirt she sells will be blue?

Answers

Step-by-step explanation:

The 'experiment' shows that   3 out of 15 shirts sold is blue

  or  3/15    ....    =  1/5  chance the next shirt is blue

Mary worked from Monday to Saturday last week and bought lunch in the company’s restaurant every day. Her lunches cost a different amount every day. Each lunch cost a multiple of 20¢. The most expensive lunch of the week cost $7. 60 and the cheapest one cost $4. 40. Friday’s lunch cost exactly 1½ times as much as Wednesday’s lunch. Tuesday’s lunch cost $1. 20 more than Thursday’s lunch

Answers

The minimum total cost of Mary's six lunches is $30.40.

To approach this problem, we need to consider the cost of each lunch individually and then sum them up to get the total cost. Let's start by finding the cost of Wednesday's lunch. We know that Friday's lunch cost 1.5 times as much as Wednesday's lunch, so we can write:

Friday's lunch = 1.5 x Wednesday's lunch

We also know that each lunch costs a multiple of 20 cents, so we can write:

Friday's lunch = $x, where x is a multiple of 20 cents

Wednesday's lunch = $y, where y is a multiple of 20 cents

Combining these two equations, we get:

$x = 1.5y

Since we're looking for the minimum total cost, we want to minimize the cost of each lunch. The cheapest lunch costs $4.40, which is equivalent to 22 multiples of 20 cents. So we can write:

$4.40 ≤ y ≤ $7.60

Now, we can use the information about Tuesday's lunch to find the cost of Thursday's lunch. We know that Tuesday's lunch cost $1.20 more than Thursday's lunch, so we can write:

Tuesday's lunch = Thursday's lunch + $1.20

Again, each lunch costs a multiple of 20 cents, so we can write:

Tuesday's lunch = $z, where z is a multiple of 20 cents

Thursday's lunch = $w, where w is a multiple of 20 cents

Combining these two equations, we get:

$z = w + $1.20

Now, we have two equations and two unknowns (x and y) and (z and w). We can solve these equations simultaneously to find the cost of each lunch. We get:

x = 1.5y

z = w + $1.20

We can substitute the first equation into the second equation to get:

z = 1.5y + $1.20

Now we have three equations and three unknowns (x, y, and z). We also know that each lunch costs a multiple of 20 cents, so we can write:

x = $a, where a is a multiple of 20 cents

y = $b, where b is a multiple of 20 cents

z = $c, where c is a multiple of 20 cents

Substituting these values into our equations, we get:

$a = 1.5b

$c = b + $1.20

$4.40 ≤ b ≤ $7.60

We can solve for b by substituting the second equation into the third equation:

$c = b + $1.20

$b = c - $1.20

Substituting this value of b into the first equation, we get:

$a = 1.5(c - $1.20)

$a = 1.5c - $1.80

Now, we can substitute these values into our equation for the total cost of Mary's six lunches:

Total cost = $a + $b + $c + $d + $e + $f

Total cost = $1.5c - $1.80 + $c + $b + $b + $c + $d + $e

Total cost = $4c - $1.80 + $b + $d + $e

We want to minimize the total cost, so we want to minimize each term in the above equation. We know that the minimum value of b is $4.40, and we want to choose c, d, and e to be as close to $4.40 as possible. This will minimize the total cost. The maximum value of c is $7.60, so we can choose c to be $7.60. We can then choose d and e to be $4.40 each, since these are the minimum possible values.

Substituting these values into our equation for the total cost, we get:

Total cost = $4c - $1.80 + $b + $d + $e

Total cost = $4($7.60) - $1.80 + $4.40 + $4.40

Total cost = $30.40

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Complete Question:

Mary worked from Monday to Saturday last week and bought lunch in the company's restaurant every day. Her lunches cost a different amount every day. Each lunch cost a multiple of 20¢.The most expensive lunch of the week cost $7.60 and the cheapest one cost $4.40.Friday's lunch cost exactly 1½ times as much as Wednesday's lunch. Tuesday's lunch cost $1.20 more than Thursday's lunch.

(a) What is the minimum total that Mary's six lunches last week could have cost?


The function S(d) = √9.8d estimates the speed, S, in meters/second (m/s),
of a tsunami based on the ocean depth, d, in meters (m).
Determine the speed, in (m/s), of a tsunami at the depth of 2145 m. Round your
answer to the nearest thousandth.

Answers

To find the speed of the tsunami at the depth of 2145 meters, you can use the given function:

S(d) = √(9.8 * d)

Plug in the value of d (2145 meters):

S(2145) = √(9.8 * 2145)S(2145) ≈ √(21001)S(2145) ≈ 144.917Rounded to the nearest thousandth, the speed of the tsunami at a depth of 2145 meters is approximately 144.917 m/s.

please help someone..50 points​

Answers

Answer:

We can find the sum of the interior angles of any polygon using the formula

[tex]S_{n}=180(n-2)[/tex], where n is the number of sides.

Because each of these polygons have four sides, we can use one formula where our n is 4 to find the sum of the interior angles:

[tex]S_{4}=180(4-2)\\ S_{4}=180*2\\ S_{4}=360[/tex]

Thus, for all four problems, we can set the four angles equal in the four polygons equal to 360 and solve for the variables

(15) *Note the right angle symbol in this problem which always equals 90°

[tex]84+90+(2x+118)+(2x+68)=360\\174+2x+118+2x+68=360\\360+4x=360\\4x=0\\x=0[/tex]

Now, to find the measure of <Y, we simply plug in 0 for x in its equation

m<Y = 2(0) + 118 = 118°

(16):

[tex]82+105+(8x+11)+10x=360\\187+8x+11+10x=360\\198+18x=360\\18x=162\\x=9[/tex]

To find the measure of <F, we plug in 9 for x in its equation

m<F = 10(9) = 90°

(17):

[tex]95+95+(10x-5)+(8x+13)=360\\190+10x-5+8x+13=360\\198+18x=360\\18x=162\\x=9[/tex]

To find the measure of <M, we plug in 9 for x in its equation

m<M = 10(9) - 5 = 85°

(18):

[tex](14x-7)+(11x-2)+93+76=360\\14x-7+11x-2+169=360\\25x+160=360\\25x=200\\x=8[/tex]

To find the measure of <M, we plug in 8 for x in its equation

m<M = 11(8) - 2 = 86°

what is the degree of the polynomial 8 x to the power of 5 plus 4 x cubed minus 5 x squared minus 9 ?

Answers

Out of these powers, the highest is 5.

Therefore, the degree of the polynomial is 5.

The degree of a polynomial is the highest power of the variable in the polynomial. In the given polynomial, the highest power of x is 5,

so the degree of the polynomial is 5.

The degree of a polynomial is the highest power of the variable (x) in the expression.

In the polynomial you provided:
[tex]8x^5 + 4x^3 - 5x^2 - 9[/tex]
Let's identify the terms and their respective powers of x:
[tex]8x^5[/tex]has a power of 5.
[tex]4x^3[/tex]has a power of 3.
[tex]-5x^2[/tex] has a power of 2.

-9 is a constant term, so there is no power of x.

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the rule T(-3,1) is applied to point 2,-7 in which part of the coordinate system is the translated point

Answers

the translated point is located in the third quadrant of the coordinate system, since both coordinates are negative.

What is Cartesian coordinate?

A coordinate system, also known as a Cartesian coordinate system, is a system used to describe the position of points in space. It is named after the French mathematician and philosopher René Descartes, who introduced the concept in the 17th century. In a coordinate system, each point is assigned a unique pair of numbers, called coordinates, that describe its position relative to two perpendicular lines, called axes. The horizontal axis is usually labeled x and the vertical axis is usually labeled y.

To apply the translation rule T(-3, 1) to the point (2, -7), we need to add the translation vector (-3, 1) to the coordinates of the point:

(2, -7) + (-3, 1) = (-1, -6)

The resulting point after the translation is (-1, -6).

Therefore, the translated point is located in the third quadrant of the coordinate system, since both coordinates are negative.

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Footy. You play in an inter- school footy competition. Curiously, in one of the rounds the total number of points scored by each team is the same, so that all games are not only drawn, but also have the same final score. In that same round your team scored 1/13th of all goals and 1/15th of all behinds. How many teams play in the competition?

Answers

There are 195 games played in the competition.

Let the total number of points scored in each game be represented by the variable "x". Since a goal is worth 6 points and a behind is worth 1 point, we can write an equation in terms of "x":

6a/13 + b/15 = x

where "a" is the total number of goals scored and "b" is the total number of behinds scored by your team in the round.

Since all games have the same final score, we know that the total number of points scored in the round is equal to the number of games played times the final score:

x * number of games = total points scored

We also know that the total number of points scored in the round is equal to the total number of goals scored (by all teams) times 6 plus the total number of behinds scored (by all teams):

x * number of games = 6 * total number of goals + total number of behinds

Substituting the first equation into the second equation, we get:

(6a/13 + b/15) * number of games = 6 * total number of goals + total number of behinds

Simplifying this equation and solving for "number of games", we get:

number of games = 1170/(2a/13 + b/15)

Since the number of games must be an integer, we can see that 2a/13 + b/15 must be a divisor of 1170. The possible values of 2a/13 + b/15 are:

2/13 + 78/15 = 72/5

4/13 + 72/15 = 56/5

6/13 + 66/15 = 44/5

8/13 + 60/15 = 32/5

The only divisor of 1170 among these values is 72/5, which corresponds to a = 26 and b = 312. Therefore, the number of games played in the round is:

number of games = 1170 / [(2a/13) + (b/15)]

                              = 1170 / [(2*26/13) + (312/15)]

                              = 195

As a result, 195 games have been played in the competition.

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g produce a lift chart for the test data. what can you say about the predictive performance of the tree model?

Answers

To evaluate the predictive performance of the tree model, we need to create the lift chart using the test data and analyze its shape.

A lift chart is a graphical representation of the performance of a predictive model. It can be used to evaluate the effectiveness of a model in identifying a target variable, compared to a random guess. The lift chart shows how much better the model is performing than a random guess, at different levels of the target variable.

To produce a lift chart for a decision tree model, we typically first rank the test data according to the predicted probabilities of the target variable. Then, we divide the data into equal-sized segments, called quantiles, based on the predicted probabilities. For example, if we divide the data into 10 quantiles, the first quantile will contain the 10% of cases with the lowest predicted probabilities, the second quantile will contain the next 10% of cases, and so on, up to the 10th quantile, which will contain the 10% of cases with the highest predicted probabilities.

For each quantile, we calculate the ratio of the number of cases in that quantile that have the target variable to the number of cases we would expect to see if the model was performing no better than random chance. This ratio is called the lift, and it represents how much better the model is performing than random chance, at that level of the target variable.

We can then plot the lift for each quantile on a graph, with the x-axis representing the quantiles and the y-axis representing the lift. A good model will have a lift chart that is above the diagonal line, which represents the performance of a random guess.

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Which of the following best describes the expression 9(x + 7)? (20 brainly points)
A: The sum of constant factors 9 and x + 7
B: The product of constant factors 9 and x + 7
C: The product of a constant factor 9 and a 2-term factor x + 7
D: The sum of a constant factor 9 and a 2-term factor x + 7

Answers

The statement that express 9(x + 7) is product of constant factors 9 and x + 7. The Option B.

What does the expression 9(x + 7) represent?

The expression 9(x + 7) represents the product of constant factors 9 and x + 7. To evaluate the expression, you would distribute the 9 to both terms inside the parentheses, resulting in 9x + 63.

This expression can also be written as a 2-term factor of 9 and x + 7. It is important to understand the different terms and factors in an expression to simplify and solve equations.

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what is the maximum number of consecutive odd positive integers that can be added together before the sum exceeds ?

Answers

The maximum number of consecutive odd positive integers that can be added together before the sum exceeds 401 is 11.

Let's assume the first odd integer is x. Then, the sum of the next n consecutive odd integers would be given by:

x + (x+2) + (x+4) + ... + (x+2n-2) = nx + 2(1+2+...+n-1) = nx + n(n-1)

We want to find the largest n such that the sum is less than or equal to 401:

nx + n(n-1) ≤ 401

Since the integers are positive and odd, we can start with x=1 and then try increasing values of n until we find the largest value that satisfies the inequality:

n + n(n-1) ≤ 401

n² - n - 401 ≤ 0

Using the quadratic formula, we find that the solutions are:

n = (1 ± √(1+1604))/2

n ≈ -31.77 or n ≈ 32.77

We discard the negative solution and round down to the nearest integer, giving us n = 11. Therefore, the maximum number of consecutive odd positive integers that can be added together before the sum exceeds 401 is 11.

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Complete Question:

what is the maximum number of consecutive odd positive integers that can be added together before the sum exceeds 401?

HURRY 40 POINTS!!

What is the surface area of this right rectangular prism?

Enter your answer as a mixed number in simplest form by filling in the boxes.

ft²

Answers

The surface area of the rectangular prism is 29 2/3 ft²

How to determine the surface area

The formula for calculating the surface area of a rectangular prism is expressed as;

SA = 2(wl + hw + hl)

Where the parameters are;

SA is the surface areaw is the width of the prismh is the height of the prisml is the length of the prism

From the information given, we have that;

Wl = 3 × 5/2

multiply the values

wl = 15/2

hw = 4/3 × 3

hw = 4

hl = 4/3 × 5/2 = 20/6 = 10/3

Substitute the values

Surface area = 2(4 + 10/3 + 15/2)

Surface area = 2(24 + 20 + 45/6)

Surface area = 2(89)/6

Surface area = 89/3 = 29 2/3 ft²

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the dimensions of noah’s ark were reported as 3.0 × 102 cubits by 5.0 × 101 cubits. express this size in units of feet (1 cubit = 1.5 ft)

Answers

The dimensions of Noah's Ark in feet are 450 feet by 75 feet if the dimensions of Noah's Ark is 3.0 × 102 cubits by 5.0 × 101 cubits.

Noah's Ark is said to have dimensions of 3.0 × 10^2 cubits by 5.0 × 10^1 cubits. To convert these measurements to feet, we can use the conversion factor of 1 cubit = 1.5 feet.

First, we need to convert the length of the ark from cubits to feet. To do this, we multiply the length of the ark in cubits (3.0 × 10^2) by the conversion factor of 1.5 feet/cubit. This gives us a length of

3.0 × 10^2 cubits x 1.5 feet/cubit = 450 feet

Similarly, we can convert the width of the ark from cubits to feet by multiplying the width in cubits (5.0 × 10^1) by the conversion factor of 1.5 feet/cubit. This gives us a width of:

5.0 × 10^1 cubits x 1.5 feet/cubit = 75 feet

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Can someone help me Simplify:
(-7) (-3)
????

Answers

21 is the value of expression .

What is a mathematical expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.

                               An expression's basic components are as follows: Expression: (Math Operator, Number/Variable, Math Operator). Any mathematical statement made up of numbers, variables, and an action between them is called an expression or an algebraic expression.

= (-7) (-3)

= 21

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A student is helping a family member build a storage bin for their garage. They would like for the bin to have a volume of 240 ft3 If they already have the length measured at 8 feet and the width at 6 feet, what is the height needed to reach the desired volume?

(A) 3 feet
(B) 3.5
(C) 4 feet
(D) 5 feet​

Answers

Answer: The answer to your question is D! Brainliest?

Step-by-step explanation:

To find the height needed to reach a volume of 240 ft^3, we can use the formula:

Volume = length x width x height

Substituting the given values, we get:

240 = 8 x 6 x height

Simplifying:

240 = 48 x height

height = 240/48

height = 5

Therefore, the height needed to reach a volume of 240 ft^3 is 5 feet.

Answer: (D) 5 feet.

Can someone help me asap? It’s due tomorrow. I will give brainiest if it’s correct. Provide an explanation

Answers

We can expect approximately 144 students in Chloe's school to own pets. The answer is 144.

What is mean by Proportion ?

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)

Based on the simulation results, we can count the number of times the number cube landed on digits 1, 2, 3, and 4, which represent the number of students who own pets. We add up these counts and divide by the total number of rolls (25) to get the proportion of rolls that resulted in a student owning a pet:

(5+1+4+4+3+3+2+2+2+1+5+2+1) / 25 = 0.6

So, approximately 60% of the rolls resulted in a student owning a pet. If we assume this proportion holds for the entire school, we can estimate the number of students who own pets out of the total number of students in the school:

Number of students who own pets = Proportion of students who own pets * Total number of students

Number of students who own pets = 0.6 * 240 = 144

Therefore, we can expect approximately 144 students in Chloe's school to own pets. The answer is 144.

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Answer every question. Pick one option for each question. Show your work.

1. Over one week, a snack booth at a fair sold 362 cans of soft drinks for $1.75 each and
221 hot dogs for $2.35 each. Which calculation will give the total sales of soft drinks and
hot dogs?

A. 362(2.35) + 221(1.75)

B. 221(2.35) + 362(2.35)

C. 221(1.75) + 362(1.75)

D. 362(1.75) + 221(2.35)

Answers

Answer:

The answer is D.

Explanation:

There were 362 cans of soft drinks sold for $1.75 each so you would multiply them together to get the sales of soft drinks. There were also 221 hot dogs for $2.35 each so you would multiply them together to get the sales of hot dogs. Since the problem is asking for both the sale of soft drinks you add them together. Therefore, the answer is 362(1.75) + 221(2.35).

profitability empirical rule with this dataset? why or why not. no, the measures the proportion of a movies budget recovered. a profitability less than 1 the movie did not make enough money to cover the budget, while a profitability greater than means means it made a profit. a boxplot of the profitability ratings of 136 movies that came out in 2011 is shown below. (the largest outlier is the movie 1 insidi high gross revenue.)

Answers

The empirical rule does not apply to this dataset because the empirical rule is used to describe data that is normally distributed.

The empirical rule is a statistical rule that states that for a normal distribution.

Approximately 68% of the data will fall within one standard deviation of the mean, 95% of the data will fall within two standard deviations of the mean, and 99.7% of the data will fall within three standard deviations of the mean.

The dataset is normally distributedThe dataset is normally distributed, determine if the empirical rule appliesThe empirical rule does not apply, identify an alternative method to describe the dataset

The empirical rule does not apply to this dataset because the empirical rule is used to describe data that is normally distributed.

This dataset does not appear to be normally distributed, as evidenced by the large outlier (1 Insidi High Gross Revenue).

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The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is

Answers

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is 0.39.

What is probability?

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, can be calculated using conditional probability.

P(A|B) = P(A and B) / P(B)

P(A and B) = P(T or P on second draw and F on first draw) = P(T on second draw and F on first draw) + P(P on second draw and F on first draw)

= (3/9) x (4/10) + (2/9) x (4/10) = 14/90

To find P(B), we know that it is 0.4.

Therefore, the conditional probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is:

P(A|B) = P(A and B) / P(B) = (14/90) / 0.4 ≈ 0.39

So the probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is approximately 0.39.

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The MARR is 10% per year and the project life is 25 years.Benefits: $45,000 in year 0; $29,000 in year 4Government savings: $2,000 in years 1 through 20Cost: $56,000 in year 0Disbenefits: $3000 in years 1 through 10Calculate the PI value. a backbone network is a high-speed network that connects many networks. group of answer choices true false narrate a story there is no smoke without fire