Use a variation model to solve for the unknown value.

Answer:

The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound.

Step-by-step explanation:

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Randomly select 10 cars

This means that [tex]n = 10[/tex]

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]

Calculate the test statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]t = 3.24[/tex]

The test statistic is t = 3.24.

Answer:

I think it's B)

Step-by-step explanation:

True because all properties are preserved under dilation from triangle ABC to A'B'C'.

We have given a triangle ABC is dilated by a factor of 2/3 , result triangle A'B'C'

We have to determine after dilation,  the properties of triangle ABC and A'B'C' is true or false.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Dilation of a triangle are results in either decreases or increases in the corresponding length of the triangle, it depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of the triangle.

here scale factor is 2/3 so the corresponding sides of the triangle A'B'C' decreases.

So, the dilation of the triangle is not congruent but similar to the original triangle ABC

Therefore, the basic properties of triangles are preserved under the dilation of triangle by a scale factor.

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Answer:

Step-by-step explanation:

The answer is FALSE for the first one AB and A'B' are on the same line.

and TRUE for the second one The measures of B and B' are equal.

Answer:

2.5

Step-by-step explanation:

Answer:

Do u have a picture? I can answer it better where its correct

Step-by-step explanation:

Answer:

Find 0% of 60: 0

Find 100% of 60: 60

Find 50% of 60: 30  

Find 25% of 60: 15

Find 75% of 60: 45

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

a  [2, -4, -6, -2]

Step-by-step explanation:

The calculated value of the matrix Y is : Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Here, we have,

Calculating the matrix Y

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

Given that

X - 2Y = Z

So, we have

b - 2c = a

a - 2d = c

4 - 2a = 16

a - 2b = b

So, we have

4 - 2a = 16

-2a = 12

a = -6

Next, we have

a - 2b = b

-6 - 2b = b

3b = -6

b = -2

Next, we have

b - 2c = a

-2 - 2c = -6

-2c = -4

c = 2

Lastly. we have

a - 2d = c

-6 - 2d = 2

-2d = 8

d = -4

The matrix Y is given as: Y =[c d a b]

So, we have

Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]

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Answer:75% ; 50%

Step-by-step explanation:

Answer:

V = 262.61 m³

Step-by-step explanation:

Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.  

To find: Volume of the cone

Formula: The formula for the volume of a cone is V = 1/3hπr².  

Solve: The base area of the cone. π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however, the value 3.14 is often used.

V = π × r² × h / 3

π × r²

V = 262.610935 m³

In the nearest tenths, the volume of the cone is V = 262.61 m²

Given:

The number is 234.900.

To find:

The [tex]\dfrac{2}{9}[/tex]th of 234.900.

Solution:

We need to find the [tex]\dfrac{2}{9}[/tex]th of 234.900. So, multiply [tex]\dfrac{2}{9}[/tex] and 234.900 to get the required value.

[tex]\text{Required value}=\dfrac{2}{9}\times 234.900[/tex]

[tex]\text{Required value}=\dfrac{469.800}{9}[/tex]

[tex]\text{Required value}=52.200[/tex]

Therefore, the [tex]\dfrac{2}{9}[/tex]th of 234.900 is 52.200 or it can be written as 52.2.

Answer:

0.1875 miles (or 3/16 of a mile)

Step-by-step explanation:

In order to make the math easier for calculating the distance, the values have to be calculated to whole hours.

1.75*2 = 3.5

2.5 * 3 = 7.5, 7.5/2 = 3.75

Now, I divide the whole hours into quarters

3.5/4 = 0.875

3.75/4 = 0.9375

Multiply both values by 3 to get the distance after 3/4 of an hour

0.875 = 2.625

0.9375 = 2.8125

remove the smaller value from the larger value

2.8125 - 2.625 = 0.1875

I might have used a more over-complicated method than what you might have been taught, but it should be just as efficient. Good luck with your assignment!

Answer:

109

Step-by-step explanation:

Hope this helped :)

Answer: The answer is 48 degrees hope this helped

Step-by-step explanation:

Answer:

1.8

Step-by-step explanation:

First, we calculate the speed. That is 0.5/4. Then we multiply by the min. he ran which is 14.4. The answer gets you to 1.8

By the way, can you follow me on Brainly?

Thanks!

Answer:

14/4=3.5

3.5x0.5=1.75 miles

He will have run 1.75 miles

Answer:

C

Step-by-step explanation:

Givens

Total Cost = 400 dollars.

Time Taken = 16 hours

Hourly rate = ?

Formula

Hourly Rate = Total Cost / Number of hours

Solution

Hourly Rate = 400 / 16

Hourly Rate = 25

Answer:

Don't awnser the bots

Step-by-step explanation:

They will try ro scam you

Answer:

0.000096

Step-by-step explanation:

Answer:0.000096

Step-by-step explanation:

i looked it up good luck on your khan academy xD!

Answer: 140 miles

let me know if this is wrong

Step-by-step explanation:

135-30=105

105÷0.75=140

Answer:

7x+7+5x+14=13x+10

12x+21=13x+10

-12x       -12x

21=x+10

-10    -10

x=11

13(11)+10

angle 4=153

Step-by-step explanation:

I solved it by using my big brain.

Answer:

3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by:

[tex]\frac{a}{b}[/tex]

Finding equivalent ratios:

To find equivalent ratios, we multiply or divide both a and b by the same value.

6.25 to 1.25

[tex]\frac{6.25}{1.25}*\frac{10}{10} = \frac{6.25*10}{1.25*10} = \frac{62.5}{12.5}[/tex]

[tex]\frac{6.25}{1.25}*\frac{100}{100} = \frac{6.25*100}{1.25*100} = \frac{625}{125}[/tex]

[tex]\frac{\frac{6.25}{1.25}}{{\frac{1.25}{1.25}}} = 5[/tex]

3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]

Answer:

Option A

Step-by-step explanation:

Range of a function is defined by the set of y-values (output values).

From the given graph,

Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)

Therefore, Range of the given exponential function will be y > -1

Option A will be the correct option.

Answer:

tana=h/x

tan6.5=h/4

h=4tan6.5

h=0.5 mi

Step-by-step explanation:

I hope this helps u! :D

Answer:

58

Step-by-step explanation:

case I added it and I m right

Answer:

1. 14

2. 17.5

3. 60

4. 238

5. 91.4375

6. 58.065

Step-by-step explanation:

Sorry, I'm only doing 6, GOOD LUCK!!!