When x is a nonzero integer, the sum of −10 + x is sometimes negative and sometimes positive. negaive or positive, explain your answer.

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:

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:

5

Step-by-step explanation:

5y+155=180

5y=180-155=25

y=5

5y+13x=90

13x=90-25=65

x=5°

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 A. 17

Step-by-step explanation: The cost, in dollars is increasing by $1.05 by 1’s. To get from 1.05 to 2.10 is 1.05. So to find the Gallons of Gas, you would keep adding 1.05 until you get 17.85 or you can multiply the numbers in the answer choice by 1.05 to get your answer.

Answer:

109

Step-by-step explanation:

Hope this helped :)

Answer: The answer is 48 degrees hope this helped

Step-by-step explanation:

Answer:

12209034563 will be your answer.

Step-by-step explanation:

just add it.

Answer:

WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.

12209034563

more info can be giving on usecalculator.com

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

If u represents the desired usage rate, then the proportion is ...

  km/liters = ...

  u/100 = 1350/120

  u = 100(1350/120) = 1125 . . . . km/100 L — first vehicle

and ...

  u/100 = 940/88

  u = 100(940/88) = 1068.2 . . . . km/100 L — second vehicle

Answer:

y=5x+1

Step-by-step explanation:

5(1)+1=6

5(2)+1=11

Step-by-step explanation:

We can see that in the table the difference between the numbers is 5.

So...

y=5x+1...

Answer:

I think its 5x²-27x+10

Step-by-step explanation:

Area of trapezium:

a+b/2× h

So substitute into the formula:

4x - 1 + 6x - 3 /2 × (x - 5)

1. 4x - 1 + 6x - 3 (collect all like terms)

4x + 6x + -1 -3 = 10x - 4

2. 10x - 4 / 2

= 5x - 2

3. 5x - 2 × x - 5

Use FOIL:

5x ² - 25x - 2x + 10

= 5x ² - 27x +10

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.

To learn more about the transformation visit:

https://brainly.com/question/4289712

#SPJ2

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:

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:

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:

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!!!

Answer: 187.5 gallons of gas

Step-by-step explanation:

He travels 30000 miles per year, and each gallon lets him travel 16 miles. Divide 30000 by 16 to get the amount of gas he uses in a year, which amounts to 187.5 gallons of gas.

Answer:

25

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

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:

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

Step-by-step explanation:

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:

1. x=34

2. c=8

3. x=9

4. m=32

That the answer for all 4.

Step-by-step explanation: Hope this help :D

Answer:

18 and 19

Step-by-step explanation:

Answer:

18 and 19

Step-by-step explanation:

root 350 is 18.71

so in between 18 and 19

Answer: 140 miles

let me know if this is wrong

Step-by-step explanation:

135-30=105

105÷0.75=140

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]

Read more about matrix at

brainly.com/question/11989522

#SPJ2

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:

57.5$

Step-by-step explanation:

5$ a pound, 11.5 pounds, multiply them and you get 57.5$

Answer:

45

Step-by-step explanation: