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2 years ago

5

Peter needs 12 quarts of paint to paint a room of his house. If 1 gallon is equal to 4 quarts, how many gallons of paint should

Peter buy? A) 3 gallons B) 6 gallons C) 12 gallons D) 48 gallons

2 answers:

Alisiya [41]2 years ago

8 0

Answer:

A

Step-by-step explanation:

Because if 1 gallon is equal to 4 quarts, multiply both numbers by 3, you'll have 3 gallons = 12 quarts.

Vaselesa [24]2 years ago

4 0

A because I went over the test

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Write an expression involving integers for each statement a) moving 4 steps left, then moving 9 steps right b) on 3 separate occ

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Answer:

a) x-4+9

b) x-2

For part b, I am not 100% sure about my answer, but I am sure about part a.

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1 year ago

Timothy is re-arranging his marble collection.he has five identical blue marbles,five identical green marbles and three identica

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Based on the scenario, the case must be filled like this :

blue/green/black x blue/ green/black x blue/green/black x random x random

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2 years ago

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Select all quantities that are proportional to the diagonal length of a square. A. Area of a square B. Perimeter of a square C.

viva [34]

Answer:

B.Perimeter of a square

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1 year ago

A Washington, D.C., "think tank" announces the typical teenager sent 67 text messages per day in 2017. To update that estimate,

creativ13 [48]

Answer:

We reject the null hypothesis and fail to accept it and update that estimate that typical teenager sent does not 67 text messages per day.

Step-by-step explanation:

We are given the sample:

51, 175, 47, 49, 44, 54, 145, 203, 21, 59, 42, 100

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{990}{12} = 82.5$

Sum of squares of differences = 992.25 + 8556.25 + 1260.25 + 1122.25 + 1482.25 + 812.25 + 3906.25 + 14520.25 + 3782.25 + 552.25 + 1640.25 + 306.25 = 3539.363636

$S.D = \sqrt{\frac{3539.363636}{11}} = 59.5$

We are given the following in the question:

Population mean, μ =67

Sample mean, $\bar{x}$ = 82.5

Sample size, n = 12

Alpha, α = 0.05

Sample standard deviation, s = 59.5

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 67\\H_A: \mu > 67$

We use One-tailed t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{82.5 - 67}{\frac{59.5}{\sqrt{11}} } = 0.864$ Now,

$t_{critical} \text{ at 0.05 level of significance, 11 degree of freedom } = 1.795$

a) Since,

$t_{stat} < t_{critical}$

We reject the null hypothesis and fail to accept it and update that estimate that typical teenager send more than 67 text messages per day.

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2 years ago

The sale price for a bicycle is $315 dollars. The original price was first discounted by 50% and then discounted an additional 1

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This means that the bicycle was discounted in total by 60%, so $315 is 40% of the original price to get 40% to 100% youd multiply it by 2.5 so so the same to the price 315 x 2.5= 787.5

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2 years ago

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