just fill in the blanks pls tyy

Complete Question

The government believes that​ higher-octane fuels result in better gas mileage for their car. To test this​ claim, a researcher randomly selected 11 individuals to participate in the study. Each participant received 10 gallons of gas (87-octane and 92-octane) and drove his car on a closed course. The number of miles driven until the car ran out of gas was recorded. A coin flip was used to determine whether the car was filled up with​ 87-octane first or​92-octane first, and the driver did not know which fuel was in the tank.

We conducted a paired t-test to see if higher-octane fuels result in better gas mileage, and the test statistic was found to 1.74.

Calculate the p-value.

Answer:

The p-value is  [tex]p-value = 0.0562[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  11

    The test statistics is  [tex]t = 1.74[/tex]

The null hypothesis is               [tex]H_o : \mu _1 = \mu_2[/tex]

The alternative hypothesis is    [tex]H_a : \mu _1 > \mu_2[/tex]

Here [tex]\mu_1[/tex] is the gas millage for  87-octane fuel while

Here [tex]\mu_2[/tex] is the gas millage for  92-octane fuel

Generally the degree of freedom is mathematically represented as

          [tex]df = n- 1[/tex]

           [tex]df =10[/tex]

Generally from the student t -distribution table  the probability of  t = 1.74 at a degree of freedom of  [tex]df =10[/tex] is

         [tex]p-value = P( t > 1.74) = 0.0562[/tex]

Answer:should be 125°

Step-by-step explanationz, y, and x make a 180° line. 52+3=55 and subtracting that from the total 180°gives you 125

Answer:

y = 8

Step-by-step explanation:

1. subtract 52° from 180° to get the value of the obtuse angle

2. that leaves you with 128° and now you subtract from 180° again bc the angles of a triangle always add up to 180° and so you have 52° now

3. the two angles you dont have add up to 52° and from here you write the equation 3y + 4y - 4 = 52

4. combine like terms to simplify the equation so you have 7y - 4 = 52.

5. add 4 to both sides so you get 7y = 56 nd then divide both sides by 7 leaving you with y = 8

Answer:

the answer is x >0 hope this helped

Answer:

One: x =  3/32

Two: y =  3/10

Step-by-step explanation:

One

y = k*x

1/4 = k* 1/8                    Multiply both sides by 8

8(1/4) = 8*k*(1/8)

8/4 = k

k = 2

=======================

3/16 = 2*x                      Divide by 2

3/32 = x

Two

y = 2/5

x = 1/3

2/5 = k * 1/3                   Multiply both sides by 5

2 = 5*k * 1/3

2 = 5/3 * k                     Multiply both sides by 3

6 = 5 * k                        Divide both sides by 5

6/5 = k

y = 6/5 * x

x = 1/4

y = 6/5 * 1/4

y = 6/20 = 3/10

Answer:

36

Step-by-step explanation:

Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12

The only number within the given range is 36

The number of students should be in the class should be considered as the 36.

Since

there are between 25 and 43 students in a class

the ratio of boys to girls is 5 : 7

So here the total ratio should be like

= 5 + 7

= 12

So here the number of students should be divisible by 12

So, it should be 36

Learn more about ratio here: https://brainly.com/question/13111469

Answer: its most likely p to the power of 6 :)

Step-by-step explanation:

Answer:

The answer for (p^3)^2 is p^6

Step-by-step explanation:

Hope this helps!

Plz, mark brainiest! ^.^

Answer:

the probability is 0%  

Step-by-step explanation:

is there options like

A

B

C

options

Answer:

27

Step-by-step explanation:

When we take 46 and subract 19 from it, we get 27.

For verification add 27 with 19

The   answer is 46

Answer:

27

Break 19 into 10 and 9. 46-10 = 36. 36-9=27.

Answer: 1,000 ml

Step-by-step explanation:

From the looks of it, the 200ml mark is about a fifth of the volume needed to get to the FULL mark.

If 200 is ¹/₅, the full mark will be;

= 200/ ¹/₅

= 1,000 ml

Answer:

1000 ml

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answers c

Answer:

Step-by-step explanation:

B

Answer:

d 11x + 24

Step-by-step explanation:

Perimeter = 5x + 3 + 2x + 6 + 4x + 15

                 = (5x + 2x + 4x) + (3 + 6 + 15)

                 = 11x + 24

Answer:

10 since its half of the original

Answer:

given,

mp= 4500

now

discount amount=dis%of mp

=x%of 4500

=45x

now,

sp=mp- discount

=4500-45x

now,

vat=vat%of SP

=10%*4500-45x

=450-45x

now,

sp with vat=sp+vat amount

=4500-45x+450-45x

=4950-90x

now,

4950-90x=4400

or,-90x=-550

or, x=55/9

or, x=6.11%

therefore, dis percent is 6.11%

9514 1404 393

Answer:

  11.11%

Step-by-step explanation:

Let d represent the discount, as a fraction. Then the final price is ...

  4500(1 -d)(1 +10%) = 4400

  1 -d = 4400/(1.10·4500)

  d = 1 - (4400/4950) = 0.111... ≈ 11.11%

The discount percentage is about 11.11%.

Answer:

D. 1/5 + 1/20 + 1/80 + 1/320

Step-by-step explanation: i got you bro

Answer:

answer is D

Step-by-step explanation:

Answer:

9.3. your ans. nabsbss

Answer:

50 minutes

Step-by-step explanation:

10 / 0.2 = 50

It takes 5 minutes for the snail to travel 1 inch, multiply that by 10 and we get 50 minutes.

Answer:8 * 54 = 8 * 50 + 8 * 4 = 8(50 + 4)

Step-by-step explanation:

Answer:

504 kilos de manzanas fueron llevados a la escuela.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex] la cantidad de cajas de manzanas y peras, respectivamente. De acuerdo con el enunciado, tenemos el siguiente sistema de ecuaciones:

Total de cajas

[tex]x+y = 18[/tex] (1)

Masa de cada caja de peras

[tex]y\cdot m_{P} = 210[/tex] (2)

[tex]y = 6[/tex] (3)

Masa de caja de manzanas

[tex]m_{M} = m_{P}+7[/tex] (4)

De (2) en (3), tenemos que la masa de cada caja de peras es:

[tex]m_{P} = 35\,kg[/tex]

Por (4), encontramos que la masa de cada caja de manzanas es:

[tex]m_{M} = 35\,kg+7\,kg[/tex]

[tex]m_{M} = 42\,kg[/tex]

Finalmente, de (1) tenemos la cantidad de cajas de manzana:

[tex]x = 18-y[/tex]

[tex]x = 12[/tex]

La cantidad de kilos de manzanas llevada a la escuela se obtiene al multiplicar la cantidad de cajas de manzana por la masa de cada caja:

[tex]M = (12)\cdot (42\,kg)[/tex]

[tex]M = 504\,kg[/tex]

504 kilos de manzanas fueron llevados a la escuela.

Answer: A, B, and D are correct!

Step-by-step explanation:

Hope this helps! :)

The three proportions that are set up correctly for the reduction of a triangle are:

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Options 1, 2, and 3 are correct.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The three proportions that are set up correctly for the reduction of a triangle are:

1)

original height / original base = reduction height / reduction base

This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.

2)

original height / reduction height = original base / reduction base

This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.

3)

original height / reduction base = reduction height / original base

This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.

Thus,

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Learn more about triangles here:

https://brainly.com/question/25950519

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Answer:

3l + 1s

Step-by-step explanation:

Given that:

The expression to represent 50% of the money collected : 0.50(6l + 2s)

Expanding the expression :

0.50(6l + 2s)

(0.50 * 6l) + (0.50 * 2s)

3l + 1s

Hence, the simplified expression is 3l + 1s

Answer:

the first one

Step-by-step explanation:

its the first one since you can be exactly 42 inches to ride the crazy carts

Answer:

5 x to the fourth power over 4 y cubed