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mash [69]
2 years ago
9

Home Depot sells paint in 2 sizes. 1 gallon for $13.99 or 5 gallons for $67.45. Which has the cheaper unit rate: 1 gallon or 5 g

allons?
Mathematics
1 answer:
Goryan [66]2 years ago
8 0

Answer:

B, 5 gallons

Step-by-step explanation:

I am going to use the first one named "a" and the second "b"

A= unit rate 13.99.

B= 67.45/5=13.49

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Dylan Rieder is a statistics student investigating whether athletes have better balance than non-athletes for a thesis project.
Kobotan [32]

Answer:

t=\frac{(3.7-4.1)-0}{\sqrt{\frac{1.1^2}{32}+\frac{1.3^2}{45}}}}=-1.457

p_v =P(t_{75}  

Comparing the p value with a significance level for example \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't say that the population mean for the athletes is significantly lower than the population mean for non athletes.  

Step-by-step explanation:

Data given and notation

\bar X_{A}=3.7 represent the mean for athletes  

\bar X_{NA}=4.1 represent the mean for non athletes  

s_{A}=1.1 represent the sample standard deviation for athletes  

s_{NA}=1.3 represent the sample standard deviation for non athletes

n_{A}=32 sample size for the group 2  

n_{NA}=45 sample size for the group 2  

\alpha=0.01 Significance level provided  

t would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the population mean for athletes is lower than the population mean for non athletes, the system of  hypothesis would be:  

Null hypothesis:\mu_{A}-\mu_{NA}\geq 0  

Alternative hypothesis:\mu_{A} - \mu_{NA}< 0  

We don't have the population standard deviation's, we can apply a t test to compare means, and the statistic is given by:  

t=\frac{(\bar X_{A}-\bar X_{NA})-\Delta}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{NA}}{n_{NA}}}} (1)  

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

With the info given we can replace in formula (1) like this:  

t=\frac{(3.7-4.1)-0}{\sqrt{\frac{1.1^2}{32}+\frac{1.3^2}{45}}}}=-1.457

P value  

We need to find first the degrees of freedom given by:

df=n_A +n_{NA}-2=32+45-2=75

Since is a one left tailed test the p value would be:  

p_v =P(t_{75}  

Comparing the p value with a significance level for example \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't say that the population mean for the athletes is significantly lower than the population mean for non athletes.  

5 0
3 years ago
Change 1/4 to a decimal, then a percent. 0.25, 2.5% 2.5, 25% 0.25, 0.25% 0.25, 25%
777dan777 [17]
1/4 to a decimal 0.25
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3 years ago
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Morgarella [4.7K]
After 9 it would be 10 so your answer is 10
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3 years ago
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The area of a rectangle is 35 cm2 what could the length of the 4th sides be
Talja [164]

Answer:

Step-by-step explanation:

Area of a rectangle is length times width.  Since a rectangle has four sides, there will be two sides that have the length size and two with the width.  Anyway, now we need to find what numbers multiply together to make 35.

7 and 5 are the only whole numbers that multiply together to make 35, so those hve to be the length and width.  So two sides opposite each other are going to be 7 cm and the other two are going to be 5 cm

6 0
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Can somebody help me with this question. Will mark brainliest.
11Alexandr11 [23.1K]

Answer:

The answer is the third option! :)

Step-by-step explanation:

Hope you do great:)

5 0
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