Mathematics College

I don’t know the solution too this math problem

Answers

Answer 1

Answer:

Step-by-step explanation:

x° + 2x° + 9° = 180°

3x° + 9° = 180°

x° + 3° = 60°

x = 57°

Related Questions

The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 7.4% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. (a) Explain why this is a binomial experiment.

(b) Assuming his suspicion that 7.4% of his customers buy a magazine is correct, what is the probability that exactly 3 out of the first 14 customers buy a magazine? Give your answer as a decimal number rounded to two digits.

(c) What is the expected number of customers from this sample that will buy a magazine?

Answers

The experiment is binomial , probability that 3 out of 14 customers buy a magazine is 0.06 and the expected value is 1.036.

Part A

The experiment described is binomial because it satisfies the following conditions:

There are a fixed number of trials, which is 14 in this case.

Each trial has two possible outcomes: The outcome of each trial is whether or not a customer buys a magazine.

The probability of success is constant. 7.4%

The trials are independent: Each customer's behavior is independent of others.

Part B

The probability that exactly 3 out of the first 14 customers buy a magazine. Using the binomial probability formula:

[tex]P(X = k) = (nCk) \times (p^k) \times {q}^{n - k} [/tex]

Where:

n = number of trials (14 in this case)

k = number of successful trials (3 in this case)

p = probability of success (7.4% or 0.074)

q = 1-p

Plugging in the values:

P(X = 3) = (14C3) × (0.074³) × 0.926¹¹

P(X= 3) = 0.0633

Part C

The expected number of customers from this sample that will buy a magazine can be calculated using the formula:

E(X) = n × p

Where:

- n is the number of trials

- p is the probability of success

Plugging in the values:

E(X) = 14 × 0.074 = 1.036

Therefore, the experiment is binomial and the expected value is 1.036.

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100 points! A list of rational numbers is given.

one and four fifths, negative seven fourths, forty-one percent, negative 1.3

Part A: Rewrite all the values into an equivalent form as fractions. (3 points)

Part B: Rewrite all the values into an equivalent form as decimal numbers. (3 points)

Part C: List the given rational numbers from greatest to least. (3 points)

Part D: How did you determine their order? Please explain your answer. (3 point)

Answers

The ascending order of the rational numbers are -1.75 < -1.3 < 0.41 < 1.8

Given are the list of the rational numbers, so,

1 4/5, -7/4, 41% and -1.3

So,

1) The fraction form :-

a) 1 4/5 = 9/5

b) -7/4

c) 41% = 41/100

d) -1.3 = 13/10

2) The decimal form :-

a) 1 4/5 = 9/5 = 1.8

b) -7/4 = -1.75

c) 41% = 41/100 = 0.41

d) -1.3 = 13/10 = -1.3

3) The ascending order of the rational numbers =

You can arrange them by seeing the value and sign,

-1.75 < -1.3 < 0.41 < 1.8

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when the football game started, there were twice as many eagle fans as spartan fans. At the end of the first quarter, 500 extra eagle fans came on busses. The total attendance at the game was 4790. How many people attended from each school?

Answers

Answer:

2860 Eagle fans and 1430 Spartan fans

-------------------

Let E represent the number of Eagle fans and S represent the number of Spartan fans at the start of the game.

We can set up two equations using the given information:

1) E = 2S (twice as many Eagle fans as Spartan fans) 2) E + S + 500 = 4790 (total number, including the extra 500 fans)

Now we can solve the equations.

From equation (1), we can replace E in equation (2), the solve for S:

(2S) + S + 500 = 4790 3S + 500 = 47903S = 4290 S = 1430

Now find the number of Eagle fans using equation (1):

E = 2S E = 2(1430) E = 2860

The graph shows the cube root parent function.
-5
5
Which statement best describes the function?
A

Answers

The statement of the function is (b) when x > 0, the graph is positive

Describing the transformation of the function f(x)

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

In the graph, we can see that

The graph of the function passes through (0, 0)

This means that

When x > 0, the graph is positive

When x < 0, the graph is negative

Hence, the statement of the function is (b)

Answers

The time needed before the doctor administers the medication again is given as follows:

d) 22.2 hours.

How to model the situation?

The exponential function giving the amount of the medicine in the patient's bloodstream after t hours is given as follows:

[tex]A(t) = 500(0.93)^t[/tex]

The medication will be applied when the amount is given as follows:

A(t) = 100.

Hence the time needed is obtained solving the exponential function as follows:

[tex]100 = 500(0.93)^t[/tex]

[tex](0.93)^t = \frac{100}{500}[/tex]

[tex](0.93)^t = 0.2[/tex]

The logarithm of base 10 is the inverse of the exponential, hence:

[tex]t = \frac{\log{0.2}}{\log{0.93}}[/tex]

t = 22.2 hours.

Which is the time needed before the doctor administers the medication again.

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Find the equation of the line.
Use exact numbers.

Answers

Answer:

y = - 3x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = [tex]\frac{1-7}{2-0}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

the line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 3x + 7 ← equation of line

The equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

Writing the equation of the line in slope-intercept form.

The linear graph represents the given parameter

For the graph, we have the points

(0, 7) and (25, 0)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 7

Using the point (2.5, 0) on y = mx + 7, we have

m(2.5) + 7 = 0

2.5m + 7 = 0

Evaluate

m = -2.8

So, we have

y = -2.8x + 7

Hence, the equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

Answers

Answer:67/24

hope it helps bye

The expression equivalent to the given numerical expression is 67/24.

The given numerical expression is 2/3 ÷ 2⁴+(3/4 +1/6)÷1/3.

Here, 2/3 ÷ 2⁴+(3/4 +1/6)÷1/3

= 2/3 ÷ 16+(9/12 +2/12)÷1/3

= 2/3 × 1/16 +11/12 ×3/1

= 2/48 + 33/12

= 1/24 + 33/12

= 1/24 + 66/24

= 67/24

Therefore, the expression equivalent to the given numerical expression is 67/24.

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Which of the following will have a smaller standard deviation, if nine observations are randomly drawn from a population?
The distribution of the individual observations, X

The distribution of the sample means,
x
¯

This cannot be determined from the information given.

Answers

The distribution of the sample means will have a smaller standard deviation

Identifying which will have a smaller standard deviation

From the question, we have the following parameters that can be used in our computation:

Observations = 9

The population is not given

However by the theorem of the central limit; we understand that

The distribution of the sample means will always have a smaller standard deviation

This is because the sample mean selected from the population might not totally represent the whole population, but would have smaller standard deviation

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Carson and his children went into a restaurant where they sell hamburgers for $6 each and tacos for $2.50 each. Carson has $65 to spend and must buy a minimum of 12 hamburgers and tacos altogether. If Carson decided to buy 8 tacos, determine the maximum number of hamburger that he could buy.

Answers

He could buy 7 hamburgers

QUESTIONS 1. Explain and illustrate the difference between and (4) 2. Explain and illustrate the difference between ratio and proportional reasoning. Do not copy definitions from any source but use your own understanding. (4) 3. Illustrate with a drawing or diagram what "fifth" means in each of the following instances: ● ordinal number ● unit fraction 4. Show with a diagram 3, using the following: 1.1 the area model 1.2 set mode 1.3 the length model (3) 2. A rectangular piece of paper has a perimeter of 54 cm. Its length is 1 of its width. Find its dimensions. (3) 3. If the given regular hexagon represents one whole: 3.1 Show three sixths. 3.2 Write the equivalence 6.1 above. 3 Represent+ in the figure given to prove that a set of two halves 6 make a whole. (4) 6.3.1 Draw a number line showing a whole made of six equal parts. Show the sum of two halves on the same number line. (1) (1) (2) (3)

Answers

The difference between 1/5 and 2/10 is that they are different representations of the same value.

The ratio is a comparison of two quantities while proportional reasoning involves finding an equivalent ratio.

"Fifth" can refer to the ordinal number of a position or the unit fraction 1/5.

The diagram can be used to illustrate fraction concepts.

How to solve

1/5 is simple, but 2/10 can be reduced to 1/5 by dividing both numbers by 2. They are both 0.2 or 20%. 1/5 and 2/10 are different fractions with different purposes.

Use 1/5 for 5 parts and 1/5 (simplified from 2/10) for 10 parts. 1/5 and 2/10 = 0.2, ratio reasoning emphasizes ratios between quantities. A 2:3 boys-to-girls ratio compares the constant ratio between changing quantities.

Proportional reasoning maintains constant ratios between quantities, while ratio reasoning uses fractions or ratios to compare relationships. For instance, if distance doubles, so does speed.

Step 3/5: "Fifth" is the ordinal number for the object five places away in a sequence. See diagram. The fifth circle is 1/5 of a whole in unit fraction sequence. Imagine a rectangle divided into five equal parts, each shaded to show 1/5. Shaded part = 1/5 of whole.

To show 25/7 with area model, make 7x25 rectangle and split into 7 equal parts. 25/7 per part.

1.2 The set model:

To represent 25/7, divide 25 objects into 7 equal sets, resulting in 3 objects per set with 1 left over. This represents the fraction of 25/7.

Step 5/5

Let's assume the width of the rectangular piece of paper as x cm. Then the length of the paper would be:

Now we know that the perimeter of the rectangle is given by the formula:

So, for this rectangle:

54 = 2(5x + x)

Simplifying and solving for x, we get:

54 = 2(6x)

27 = 6x

x = 4.5 cm

Therefore, the width of the paper is 4.5 cm and the length is 5 times the width which is 22.5 cm

The difference between 1/5 and 2/10 is that they are different representations of the same value.

The ratio is a comparison of two quantities while proportional reasoning involves finding an equivalent ratio.

"Fifth" can refer to the ordinal number of a position or the unit fraction 1/5.

The diagram can be used to illustrate fraction concepts.

Answers

Answer:

-3x² - x - 5

Step-by-step explanation:

(3x² - 7x - 4) - (6x² - 6x + 1) =
= -3x² - x - 5

Assume the probability of rain on any given independent day is 0.23. What is the average number of days it rains for the first time?

Answers

The probability that this song will be played on exactly 0 days out of 7 days, if The probability that a particular song is played is 0.23 is 0.008.

We have,

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

The probability that a particular song is played is 0.23,

As can be seen that the problem is of combination, so we have to choose 5 out of 7,

Calculate the combination as shown below,

⁷C₅ = 7! / (5! × 2!) = 7 × 6 / 2

⁷C₅ = 7 × 6 / 2

⁷C₅ = 21

Calculate the probability as shown below,

P = ⁷C₅ × (0.23)⁵ × (0.77)²

P = 0.008

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complete question;

During a single day at radio station WMZH, the probability that a particular song is played is 0.23. What is the probability that this song will be played on exactly 0 days out of 7 days? Round your answer to the nearest thousandth.

find the difference between points (3,5) and (-1,5)

Answers

Let the given points be A(3,-5) and B(5,-1).

AB= sqrt of (5−3) ² +(−1+5)²

= sqrt of 4+16

= sqrt of 20

=2 sqrt of 5 units

Solve the system using substitution. Show all work.
-12x + 5y = 9
y = 2x - 5

Answers

Solution of the given system is,

x = 8

y = 11

The given system of equation

-12x + 5y = 9 ....(i)

y = 2x - 5 ...(ii)

Now we have to solve it by using substitution method.

So put value of y from equation (ii) into equation (i)

Therefore,

⇒ -12x + 5y = 9

⇒ -12x + 5(2x - 5) = 9

⇒ -12x + 10x - 25 = 9

⇒ -2x = 16

⇒ x = 8

Now put the values of x into (ii) we get,

⇒ y = 2x8 - 5

⇒ y = 11

Hence,

solutions be ,

x = 8

y = 11

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Help me figure this out

Answers

Answer:

Step-by-step explanation:

perimeter = sum of the lengths of the sides

In a parallelogram, opposite sides are congruent.

Two sides have length 7.5 cm.

We need the length of the top and bottom sides.

area = base × height

62 cm² = base × 6.2 cm

base = (62 cm²)/(6.2 cm)

base = 10 cm

Two sides have length 10 cm.

perimeter = 7.5 cm + 7.5 cm + 10 cm + 10 cm

perimeter = 35 cm

Give the domain and range. On a coordinate plane, points are at (negative 2, negative 1), (0, 1), (2, 3). a. domain: {2, 0, 2}, range: {1, 1, 3} b. domain: {–1, 1, 3}, range: {–2, 0, 2} c. domain: {–2, 0, 2}, range: {–1, 1, 3} d. domain: {1, 1, 3}, range: {2, 0, 2} Please select the best answer from the choices provided A B C D

Answers

The correct answer is domain: {-2, 0, 2}, range: {-1, 1, 3}.

Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

A wolf leaps out of the bushes and takes a hunter by surprise. Its trajectory can be mapped by the equation f(x) = −x2 + 11x − 18. Write f(x) in intercept form and find how far the wolf leaped using the zeros of the function. (1 point)
y = (x − 3)(x + 6); the wolf leaped a distance of 9 feet using zeros −6 and 3
y = −(x − 3)(x − 6); the wolf leaped a distance of 3 feet using zeros 3 and 6
y = −(x − 2)(x − 9); the wolf leaped a distance of 7 feet using zeros 2 and 9
y = (x + 2)(x − 9); the wolf leaped a distance of 11 feet using zeros −2 and 9

Answers

y = −(x − 2)(x − 9); the wolf leaped a distance of 7 feet using zeros 2 and 9. Therefore, option B is the correct answer.

Given that, trajectory can be mapped by the equation f(x) = -x² + 11x - 18.

Here, -x² + 11x - 18=0

-x² + 9x+2x - 18=0

-x(x-9)+2(x-9)=0

(x-9)(-x+2)=0

x-9=0 and -x+2=0

x=9 and x=2

Therefore, option B is the correct answer.

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In 2004, a school population was 2122. By 2009 the population had grown to 2647.

1) How much did the population grow between the year 2004 and 2009?

Answers

The population grow by 24.7% between the years 2004 and 2009

Calculating how much the population grow between the years

from the question, we have the following parameters that can be used in our computation:

Population in 2004 = 2122

Population in 2009 = 2647

The growth of the population between the years is calculated as

Percentage = Population in 2009/Population in 2004 - 1

Substitute the known values in the above equation, so, we have the following representation

Percentage = 2647/2122 - 1

Evaluate

Percentage = 24.7%

Hence, the population grow between the years by 24.7%

Answers

Answer:

x = 8, m2 = 78, m4 = 102, m6 = 78, m7 = 78,

Step-by-step explanation:

Please help as soon as possible, thank you in advance

Answers

The logo that fits the requirement is the circle logo i.e. logo 1

Calculating the area and the width in meters

From the question, we have the following parameters that can be used in our computation:

The figures that represent the logos

For the circle logo, we have

Area = 22/7 * 1/2 * 1/2

Convert units to feet using the scale

Area = 22/7 * 1/2 * 7 * 1/2 * 7

Evaluate

Area = 38.5 square feet

Also, we have

Width = 2 * 1/2 * 7 feet

Width = 7 feet

For the plus-shaped logo, we have

Area = 5 * 1/2 * 1/2

Convert units to feet using the scale

Area = 5 * 1/2 * 7 * 1/2 * 7

Evaluate

Area = 61.25 square feet

Also, we have

Width = 3 * 1/2 feet * 7

Width = 10.5 feet

Hence, the logo that fits the requirement is the circle logo i.e. logo 1

This is because its area is not up to the maximum area (40 square feet) and the width is greater than the minimum width (4 feet)

Answers

We are unable to determine the volumes of the individual components and the composite figure due to missing data on the radii and precise component configurations.

We must determine the volumes of the three separate parts—a cylinder, a 1 mm tall cone—in order to get the volume of the composite figure.

The 3 mm tall cone's volume is:

The formula [tex]V = (1/3)r^{2} h,[/tex] where r is the radius of the base and h is the height, determines the volume of a cone.

We must determine the radius because the cone's height is 3 mm. We are unable to determine the volume of the 3 mm tall cone without additional information.

Dimensions of the cylinder:

The formula V = r2h, where r is the radius of the base and h is the height, determines the volume of a cylinder.

We are unable to determine the volume of the cylinder without precise measurements for its height and radius.

Volume of the 1 mm tall cone: Once more, in order to calculate the volume of the 1 mm tall cone, we need to know the radius of the base. Without this additional information, we are unable to do so.

The composite figure's volume:

We would need to know the sizes and configurations of the different parts (cones and cylinder) within the composite figure in order to determine its volume.

We are unable to determine the volume of the composite figure without this information.

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Solve for x.
-3
X=
X
= -48

Answers

Answer:x = {-4, 4}

explanation:

When you order a salad from Nelly's Deli, you can choose from 5 different base salads, 3 different proteins, and 6 different dressings. How many different combinations for a salad are possible?

Answers

Answer:

Step-by-step explanation:

This type of problem is an example of combinations. In this case, in one salad, it states that you can chose between 5 bases, 3 proteins, and 6 dressings.

In this problem, you would have to multiply all numbers together.

In this case, 5(bases)x3(protiens)x6(dressings)=90

I hope this helps you!

Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse.
-10

Answers

The graph of the inverse function is given by the image presented at the end of the answer, and the correct option is given by option 3.

How to obtain the inverse function?

The parent function for this problem is the cube function translated up two units, hence it is defined as follows:

y = x³ + 2.

To obtain the inverse function, first we must exchange the variables x and y on the definition of the function, as follows:

x = y³ + 2.

Then we must isolate the variable y, as follows:

[tex]y^3 = x + 2[/tex]

[tex]y = \sqrt[3]{x + 2}[/tex]

Which has the correct dashed graph given by option 3 on the image given.

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The following figure is made of 2 triangles. Figure Triangle A Triangle B A Whole figure 9 Find the area of each part of the figure and the whole figure. 7 B 3 Area (square units)

Answers

Area of triangle A = 13.5 square units

Area of triangle B = 10.5 square units

Total area of figure = 24 square units

In the given figure,

It consist of two triangles

Now for triangle A :

Height = 3

Base = 9

Since we know that,

Area of triangle = (1/2) x base x height

= 0.5 x 9 x 3

= 13.5 square units

Now for triangle B :

Height = 3

Base = 7

Since we know that,

Area of triangle = (1/2) x base x height

= 0.5 x 7 x 3

= 10.5 square units

Now the total are of figure is sum of are of both triangles,

Therefore,

total area of figure,

⇒ 13.5 + 10.5

⇒ 24 square units

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The missing figure of question is attached below:

can my a value be negative in a exponential function

Answers

Yes, the coefficient of a value can be negative in an exponential function.

How is this possible?

A coefficient in mathematics is a multiplicative factor in some term of a polynomial, series, or expression; it is generally a number, although it can be any expression.

Recall that the general form of an exponential function is f(x) = a^(bx + c), where a is the base.

This can be negative or positive. But cannot be equal to zero. A negative exponential function can model the decay of a radioactive substance or, in accounting, depreciation of an asset.

Thus, it is correct to state that , the coefficient a value can be negative in an exponential function.

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A rectangle floor is 9 yards long and 3 yards wide what is the area of the floor in square feet

Answers

Answer:

1. Find the area of the rectangle in square yards. In this case, the area is 9 yards * 3 yards = 27 square yards.

2. Convert square yards to square feet. There are 9 square feet in 1 square yard. So, the area of the rectangle in square feet is 27 square yards * 9 square feet/square yard = 243 square feet.

Therefore, the area of the rectangle floor in square feet is 243 square feet.

Answer:243

Step-by-step explanation:

(9x3) x (3x3)

27 x 9 = 243

What is the equation of the circle with center at (9,5) that passes through (13,7)? Write your answer in standard form.

Answers

The equation of circle with a center at (9, 5) that passes through (13, 7) is (x - 9)² + (y - 5)² = 20.

we have Center at (9, 5) and passes thorough (13, 7).

To find the equation of a circle with center (h, k) and a point (x, y) on the circle, we can use the standard form equation of a circle:

(x-h)² + (y-k)² = r²

So, (x - 9)² + (y - 5)² = r

Since the circle passes through (13, 7), then

(13 - 9)² + (7 - 5)² = r²

²4 + (2)² = r²

16 + 4 = r²

20 = r²

So, the equation of circle is

(x - 9)² + (y - 5)² = 20

Therefore, the equation of circle with a center at (9, 5) that passes through (13, 7) is (x - 9)² + (y - 5)² = 20.

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given f (x) = 4x^2+6x+9 find (-7)

Answers

The value of f(-7) is 172.

To find the value of f(-7) for the given function f(x) = 4x^2 + 6x + 9, we substitute -7 for x in the function and evaluate it.

f(-7) = 4(-7)^2 + 6(-7) + 9

Simplifying the equation:

f(-7) = 4(49) - 42 + 9

= 196 - 42 + 9

= 163 + 9

= 172

Therefore, f(-7) = 172.

By substituting -7 into the function, we obtained the value of 172. This means that when x is equal to -7, the corresponding value of the function f(x) is 172.

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100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!

Answers

A. The distributions of the periods is that using the five number summary is that

The 7th Period has higher minimum and lower maximumThe 3rd period is more spread (from the quartiles)The 7th Period has higher median

B. The box and whisker plot of the periods is attached

A. Comparing the distributions of the periods

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

Minimum: 66Lower Quartile Q1: 79.5Median: 88Upper Quartile Q3: 92.25Maximum: 96

3rd Period

Minimum: 52Lower Quartile Q1: 64.75Median: 75.5Upper Quartile Q3: 85.75Maximum: 97

B. Creating a box and whisker plot of the periods

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods