Jeremiah's retirement party will cost $16 if he invites 4 guests. What is the maximum number of guests there can be if Jeremiah can afford to spend a total of $20 on his retirement party? Solve using unit rates.

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:

Yes

Step-by-step explanation:

Yes, this is a numerical expression because x represents a number.  This number is unknown, so x = 1 --- 5x (1) + 2 is equivalent to 5x + 2.  5x (1) +2 is a numerical expression, SO that means that 5x + 2 is a numerical expression.  

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

#SPJ3

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

Step-by-step explanation:

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:

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:

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: 20 examiners.

Step-by-step explanation:

We know that 10 examiners need 6 hours to mark all the papers.

Then if R is the rate at which one examiner can mark all the papers, we have the equation:

(10*R)*6h = marking all the papers = 1

(i will use the 1 to represent the complete task)

then we have:

(10*R)*6h = 1

60h*R = 1

R = 1/60h

This means that only one examiner would need 60 hours to mark all the papers.

This time, we have N examiners, and they marked the same amount of papers in 3 hours, then we have thee equation:

(N*R)*3h = 1

(N*1/60h)*3h = 1

N*(3h/60h) = 1

N*(1/20) = 1

N = 1/(1/20) = 20

N = 20

This time, there are 20 examiners.

Answer:

y=4x−11

Step 1: Flip the equation.

4x−11=y

Step 2: Add 11 to both sides.

4x−11+11=y+11

4x=y+11

Step 3: Divide both sides by 4.

[tex]\frac{4x}{4}[/tex]  =  [tex]\frac{y+11}{4}[/tex]

x= [tex]\frac{1}{4} y[/tex] + [tex]\frac{11}{4}[/tex]

y=-8x + 13

Step 1: Flip the equation.

−8x+13=y

Step 2: Add -13 to both sides.

−8x+13+−13=y+−13

−8x=y−13

Step 3: Divide both sides by -8.

[tex]\frac{-8x}{8}[/tex]  =  [tex]\frac{y- 13}{-8}[/tex]

x= [tex]\frac{-1}{8}y[/tex]  +  [tex]\frac{13}{8}[/tex]

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:

9.3. your ans. nabsbss

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:

l = 31 cm

w = 27 cm

Step-by-step explanation:

l = w + 4

p = 2l + 2w

p = 2(w+4) + 2w

116 = 2(w+4) + 2w

116 = 2w + 8 + 2w

116 = 4w + 8

108 = 4w

27 = w

l = w + 4

l = 27 + 4

l = 31

hope this helps, pls mark brainliest :D

Answer:

w=18 L=40

Step-by-step explanation:

 w

---------

|         |

|         | 2w+4

|         |

---------

2(2w+4)+ 2(w)=116

6w+8=116

6w=108

w=18

2(18)+4

36+4

40

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:

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:

8

This is actually fairly simple. If you take the x-1 and set it equal to 0 you get 1. And if you plug that value into the x you get 8, which is the remainder. This is called the remainder value theorem.

Step-by-step explanation:

Answer:

5 x to the fourth power over 4 y cubed

Answer:

4 dollars per pint. You can 0.25 pint per dollar. For 20 dollars

u can get 5 pints. 8 pints will be 32 dollars.

Answer:

Per pint is $4

You get a .25 pint for 1 dollar

You get 5 pints for $20

It cost $32 for 8 pints of raspberries

Step-by-step explanation:

Once you find the unit rate you can multiply and divide depending on the question.

Answer:

25561485

Step-by-step explanation:

Answer:

x              y

2              9

3              7

4              5

5              3

Step-by-step explanation:

Answer:

9

7

5

3

The order is from up to down