Answer:
B: [tex]3\frac{6}{8}[/tex]
Step-by-step explanation:
we multiply numerator by numerator and denominator by denominator
6/8x5/1
30/8
3 6/8
Hopes this helps please mark brainliest
What is the answer to this problem?
Answer:
$22,000 at 5%, $10,000 at 11%
Step-by-step explanation:
Let x be the amount invested at 5%.
[tex].05x = .11(32000 - x)[/tex]
[tex].05x = 3520 - .11x[/tex]
[tex].16x = 3520[/tex]
[tex]x = 22000[/tex]
$22,000 at 5%, $10,000 at 11%
For her final project, stacy plans on surveying a random sample of students on whether they plan to go to florida for spring break. From past years, she guesses that about % of the class goes. Is it reasonable for her to use a normal model for the sampling distribution of the sample proportion? why or why not?.
Less than 10 attempts were successful in this situation. due to the fact that 5 is less than 10. The data does not satisfy the requirement as a result.
Because the data don't fit the success or failure criteria, it is not appropriate to adopt a normal model for the sampling distribution of the sample.
50 students make up the sample. The likelihood that she assumes 10% of the class will attend is 10%. It will be demonstrated by:
1 - p = 1 - 10%
⇒ 1 - 0.10 = 0.90
np = 50 × 0.1
np = 5
This suggests the number of victories.
In this case, fewer than 10 efforts have been successful. Since 5 is less than 10, this is the situation. The data does not meet the criteria as a result.
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The scatter plot shows the number of strawberries that have been picked on the farm during the month of February
1001
Number of Strawberries
116ITTIS ITT2TTAS
Days in February
Part A: Using computer software, a correlation coefficient of r= 0. 01 was calculated. Based on the scatter plot, is that an accurate value for this data? Why
or why not? (5 points)
Part B. Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for
strawberries picked on the farm. (5 points)
Part A:because the data points are far away from each other.
Part B: A casual relationship would be: the number of strawberries picked and the amount of fertilizers used.
What is Correlation Coefficient?
Correlation coefficient, r, is quantitative measure that measures the extent to which two variables are associated.
The closer the data points are on a scatter plot, the closer the value of r is to 1 or -1.
Part A:
The data points in the scatter plot are farther apart and the trend slopes upwards to the right, this means that the correlation coefficient, r, would be positive but very low.
Thus, based on the scatter plot given, the correlation coefficient of r = 0.01 is most likely accurate because the data points are far away from each other.
Part B:
A casual relationship would be: the number of strawberries picked and the amount of fertilizers used.
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In the following diagram, BC is parallel to DE.
What is the measure of Zx?
Angles are not necessarily drawn to scale.
B
D
F
54°
105°
A
E
And please explain how I get the answer pls
The value of Angle DAF, x is 21°
Given,
Line BC parallel to line DE
The value of Angle ABC = 54°
The value of Angle BAC = 105°
We have to find the value of angle DAF
Here,
Angle DAF = x
Now,
Angle ABC = Angle DAB (Alternate interior angles)
So,
Angle DAB = 54°
Then,
Angle DAF, x = 180 - (105 + 54) (Linear pair of angles)
Linear Pair of Angles;
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.
That is,
Angle DAF, x = 180 - 159
Angle DAF, x = 21°
Therefore,
The value of Angle DAF, x is 21°
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. Kendra has a painting canvas that is 23 inches wide by 33 inches high. She painted a red
rose, which covered 30% of the canvas. What was the area of the canvas which was
covered by the red rose?
Answer:
227.7 in²
Step-by-step explanation:
You want to know the area that is 30% of a canvas that is 23 inches by 33 inches.
AreaThe area of the canvas is the product of its length and width.
A = LW
A = (33 in)(23 in) = 759 in²
RoseThe rose covers 30% of that area, so an area of ...
rose = 0.30 × 759 in² = 227.7 in²
The area of the canvas covered by the rose was 227.7 square inches.
I need help like asap !!!
only numbers and decimal points
7 yd.
24 yd.
What is the length of the hypotenuse?
yards
C=
Answer:
25
Step-by-step explanation:
the equation is a^2+b^2=c^2
7^2=49
24^2=576
49+576=625
the square root of 625 is 25
Determine whether each statement is always, sometimes, or never true.
13. For a 0, the value of a¹ is positive. ●
14. If n is an integer, then 3" 3" equals 1.
15. If 6P 0, then p > 0. 16. 4* equals 1. 4*
17. If m is an integer, then the value of 2m is negative
Problem 13
Answer: Sometimes trueReason:
If a > 0, then the statement would always be true. However, if 'a' was negative, then the statement is false.
For example, if a = -2 then:
[tex]a^{-1} = (-2)^{-1} = \frac{1}{(-2)^1} = -\frac{1}{2} = -0.5[/tex]
In short,
[tex]a^{-1} = -0.5 \ \ \text{ when } a = -2[/tex]
This is one of infinitely many counter-examples to prove the original statement isn't always true.
===================================================
Problem 14
Answer: Always trueReason:
The rule to use here is [tex]a^b*a^c = a^{b+c}[/tex]
We add exponents b and c, while the base 'a' stays the same the whole time.
In this problem we have: [tex]3^n*3^{-n} = 3^{n+(-n)} = 3^{n-n} = 3^0 = 1[/tex]
Therefore [tex]3^n*3^{-n} = 1[/tex] is always true regardless of what you replace n with. The variable n doesn't have to be an integer.
===================================================
Problem 15
Answer: Sometimes trueReason:
Let's say p = -1 is plugged into the expression
[tex]6^p = 6^{-1} = \frac{1}{6^1} = \frac{1}{6} \approx 0.1667[/tex]
which is a positive outcome showing that [tex]6^p > 0[/tex] doesn't automatically guarantee that p > 0. Feel free to try other negative values as counter-examples. Also p = 0 works as well. It turns out that [tex]6^p[/tex] is always positive regardless of what real number you use for p.
===================================================
Problem 16
Answer: Always trueReason:
The rule used here is [tex]a^{-b} = \frac{1}{a^b}[/tex]
An equivalent rule is [tex]\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^c[/tex]
The idea is to flip the fraction to turn the exponent positive.
Examples: [tex]2^{-5} = \frac{1}{2^5} \ \ \text{ and } \ \ \left(\frac{7}{9}\right)^{-3} = \left(\frac{9}{7}\right)^{3}[/tex]
===================================================
Problem 17
Answer: Never trueReason:
This is similar to problem 15 in that [tex]2^m[/tex] is always positive regardless if m is negative, zero, or positive. It might help to graph out [tex]y = 2^x[/tex] and see that the curve never dips below the x axis.
Lucy's penny bank is 2/3 full. After she removes 120 pennies it's 1/2 full.How many pennies can Lucy's bank hold
Answer:
Her piggy bank can hold 720 pennies.
Step-by-step explanation:
1/2= 3/6, and 2/3=4/6, meaning the difference of 1/6=120 pennies. 120x6=720.
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be?
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. then the values of the number is x = 1/2 and -4/3
The product of 6 and the square of a number
Consider the number as x
Then the product of 6 and the square of a number = [tex]6x^2[/tex]
The product of 6 and the square of a number is increased by 5 times the number, the result is 4
Then the equation will be
[tex]6x^2[/tex] + 5x = 4
Move 4 to the left hand side of the equation
[tex]6x^2[/tex] + 5x - 4 = 0
We have to solve the quadratic equation
Split the middle terms
[tex]6x^2[/tex] + 8x - 3x -4 = 0
2x(3x+4) -1(3x+4) = 0
(2x-1)(3x+4)= 0
Then the value of x will be
2x- 1 = 0
2x = 1
x = 1/2
Similarly
3x+4 = 0
3x = -4
x = -4/3
Hence, when the product of 6 and the square of a number is increased by 5 times the number, the result is 4. then the values of the number is x = 1/2 and -4/3
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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The vertex of the parabola is at (-2, 2), the line of symmetry of the parabola is at x = -2 and the parabola is open downwards
From the given parabola
The vertex of the parabola is at (-2, 2)
The vertex of the parabola is defined as the the point at the intersection of the parabola and its line of symmetry.
The line of symmetry is at x = -2
The parabola is open downwards
Hence, the vertex of the parabola is at (-2, 2), the line of symmetry of the parabola is at x = -2 and the given parabola is open downwards
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A probablity experiment is conducted in which the sample space of the experiment is S= (5. 6, 7, 8,9, 10, 11, 12, 13, 14, 15. 16}, event F={8,9,10,11,12,13), And event G = {12, 13, 14, 15} Assume that each outcome is equally likely. List the outcomes in F For G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.
List the outcomes in F or G.
A. For G= {__}
(Use a comma to separate answers as needed)
Using the general addition rule, p(F or G) = 0.667.
What is sample space?
In probability theory, the set of all feasible outcomes or outcomes of an experiment or random trial is referred to as the sample space. The sample points, or potential ordered outcomes, are listed as elements in the set used to represent the sample space.
Let,
S = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}
F = {8, 9, 10, 11, 12, 13}
G = {12, 13, 14, 15}
n(S) = number of elements in set S are 12.
n(F) = 6
n(G) = 4
n(F and G) = common elements in F and G = 2
n(F or G) = n(F) + n(G) - (F and G)
n(F or G) = 6 + 4 - 2
n(F or G) = 8
Now, using the general addition rule,
P(F or G) = P(F) + P(G) - P(F and G)
Here,
P(F) = n(F)/n(S) = 6/12 = 1/2
P(G) = n(G)/n(S) = 4/12 = 1/3
P(F and G) = n(F and G)/n(S) = 2/12 = 1/6
⇒ P(F or G) = 1/2 + 1/3 - 1/6
= 5/6 - 1/6
= 4/6
⇒ P(F or G) = 0.667
Hence, using the general addition rule, P(F or G) = 0.667.
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Help me pls!!!!!!!!!!!!!!
Answer:
it's not possible
because Z^2 = Z*Z
and the condition to multiply two arrays is :
( the column in first array have to equal the row in the second array)
Match the vocabulary word with the correct definition.
Base
Exponent
Scientific Notation
a.
The number that is going to be raised to a power.
b.
The number that tells you how many times you will multiply the base number.
c.
A way of writing VERY large or VERY small numbers so the numbers are easier to compare or calculate.
Answer:
Exponent: B
Base: A
Scientific Notation: C
Step-by-step explanation:
vocabulary
Answer:
Exponent and A
Base and B
Scientific Notation and C
Step-by-step explanation:
Because the Exponent is the number that is going to raise the Base and that Base is the number that you are going to multiply by.
Suppose y varies directly with x and inversely with z. When y=3, x=5, and z=9. Find y when x=12 and z=21.
Answer:
3.09
Step-by-step explanation:
check the file attached
2^(x+3) = ((1)/(8))^(x+2) solve for x
step by step exlanation
At the bowling alley kai rented shoes and purchased 3 games of bowling for $6.50.
Jack rented shoes and purchases 5 games of bowling for $9.50 Caelan has $17 if she rents shoes how many games of bowling can she purchase
Caelan must spend a total cost of $ 17 for 10 bowling games.
How many bowling games can Caelan purchase?
The total cost consists in the sum of a fixed cost, represented by rent of shoes, and a variable cost, represented by the number of bowling games, whose model is presented below:
c' = c + r · n
Where:
c - Fixed cost, in monetary units.r - Cost of each rent, in monetary units.n - Number of rented games.First, construct the system of equations related to Kai and Jack:
Kai
c + 3 · r = 6.50
Jack
c + 5 · r = 9.50
Second, solve the system of linear equations by numerical methods:
(c, r) = (2, 1.5)
Third, write the resulting function:
c' = 2 + 1.5 · n
Fourth, evaluate the function for the situation of Caelan:
17 = 2 + 1.5 · n
1.5 · n = 15
n = 10
Caelan rents 10 bowling games for $ 17.
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help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
0.64 feet
Step-by-step explanation:
make h the subject of this expression
[tex]t = \sqrt{ \frac{h}{16} } [/tex]
[tex] {t}^{2} = \frac{h}{16} [/tex]
[tex]h = 16 {t}^{2} [/tex]
then substitute in the value of t=0.2 into the equation of h:
h = 16 × (0.2)² = 0.64 feet(answer)
The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?
Answer:
(4) 5 m
Step-by-step explanation:
You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.
VolumeThe volume of the prism is given by the formula ...
V = Bh
where B is the area of the base:
B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle
Using these formulas together, we have ...
V = 1/2(2.5 m)(2 m)x
12.5 m³ = 2.5x m²
Dividing by 2.5 m², we find x to be ...
(12.5 m³)/(2.5 m²) = x = 5 m
The dimension labeled x has length 5 meters.
In one study of burmese pythons it took a snake an a stage of 25/4 days to gain 1/8 of weight. at that rate how long does it take a snake to gain 1 pound?
At the rate of variation of 50 days/pound the snake gain 1 pound.
The mathematical expression for the percentage difference change over a predetermined period is called the rate of variation, which also denotes the movement of a variable. It allows us to understand how 2 factors that are changing interact with one another.
A snake takes 25 ÷ 4 days to gain 1 ÷ 8 pounds of weight,
a) Gain 1 pound need take: (25 ÷ 4) × 8 = 50 days
b) In one year = 365 days
= (25 ÷ 4) × (1 ÷ 8)
= (25 ÷ 4) × 8
= 50 days/pound.
So, the snake gained(1 ÷ 50) pounds one day.
In one year: (1 ÷ 50) × 365 = 7.3 pound
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write a problem that could be represented by the equation 5n - 6 = 19
PLEASE HELP
*IMAGE BELOW*
To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
A. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.
B. What does the coefficient of the expression in part (a) represent?
I need help asap thx u if you can.
A. The expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs is 195x
B. The coefficient of the expression in part (a) represents D. The the total amount the animal shelter earns when x dogs are adopted
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this situation, to adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
Therefore, the expression to adopt x dogs will be:
= 80(x) + 65(x) + 50(x)
= 80x + 65x + 50x
= 195x
This is the cost for x dogs.
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Darren is building a fence using panels that are sold in 5ft lengths. The perimeter of the fence is 42yds. How many fence panels should Darren buy?
Answer:
6666667
Step-by-step explanation:
Five sisters each bought matching scarves and two pairs of socks. the scarves were priced at $15.00.if the total bill for all 5 sisters was $125.00 what was the price of one pair of socks?
Price of one pair of socks are $5.00
The total of 5 sisters each bought scarves and 2 pairs of socks.
Socks price variable defined as x.
Total scarves bought by the sisters are:
5 × 1 = 5
Total socks bought by the sisters are:
5 × 2 = 10
Equation for total bill:
$125.00 = 5 × $15.00 + 10 × x
$125.00 = $75.00 + 10x
10x = $125.00 - $75.00
10x = $50.00
x = $50.00/10
x = $5.00
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help for the rest pls
Answer :
9 girls and 18 boys don't have a voucher
Step-by-step explanation :
There are 38 boys and 22 girls. The total number of children is 60. We know that 33 children have a voucher. 27 children don't have a voucher. ( 60 - 33 = 27 ) .
"Twice as many boys as girls do not have a voucher."
We can now make an equation.
The girls who do not have a voucher will be x, boys who don't have a voucher will be 2x, since it says twice as many boys.
We can now make our equation.
x + 2x = 27
Add x and 2x
3x = 27
Divide both sides by 3
x = 9
We know now that girls who don't have a voucher is 9.
The boys who don't have a voucher is 2x, so we plug 9 instead of x.
2(9) = 18.
18 boys do not have a voucher.
If you would like the rest for the frequency tree...
Total students : 60
Boys : 38
Boys who don't have a voucher : 18
Boys who have a voucher : 20
Girls : 22
Girls who don't have a voucher : 9
Girls who have a voucher : 13
Hope this helped.
How do I find the missing angle of an intersecting line?
Answer:
Read the given problem, look at the given figure of intersecting lines, and identify the angle given and the unknown angles.
Step-by-step explanation:
1) 2 more than 5 times x
2) 9 Multiply n by 6, and then divide the product by 5.
Answer:
1. 5x +2
2. 6x/5
Step-by-step explanation:
Jumpin' Dolphin Boat Tours takes tourists into the Gulf of Mexico to see dolphins. Tourists buy tickets and pay extra for tour pictures. The total price for t tickets and p pictures is 10t+5p dollars. The Kelley family went on a tour this afternoon. They bought 4 tickets and 3 pictures.
What was the total cost of the Kelley family's tour?
If Kelley family went on a tour this afternoon and they bought 4 tickets and 3 pictures. The total cost of the Kelley family's tour is $55.
How to find the total cost?Given data
Total price = 10t+5p dollars
Where:
t = tickets =4
p = pictures = 3
Now let find the total cost
Total cost = 10t+5p
Total cost = 10(4) + 5(3)
Total cost =40 +15
Total cost =$55
Therefore we can conclude that the total cost is the amount of $55.
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Determine the values of A, B, and C when y – 7=3(x+4) is written in standard form, Ax+By=C.
Answer:
A=-3,b=1,C=19
Step-by-step explanation:
y-7=3(x+4)
we will just simplify the bracket like this
y-7=3x+12
y=3x+12+7
y=3x+19
y-3x=19
A=-3,b=1,C=19
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