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castortr0y [4]
2 years ago
7

The ceiling of Victoria’s living room is a square that is 16√2 ft long on each side. To decorate for a party, she plans to h

ang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Victoria can buy rolls that each contain 25 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.
Mathematics
1 answer:
topjm [15]2 years ago
6 0

The minimum number of rolls that can be bought is 4.

The first step is to determine the perimeter of the ceiling and the length of its hypotenuse.

Perimeter of the ceiling = perimeter of a square = 4 x length = 4 x 16 = 64 ft

The hypotenuse is the distance from one corner of the ceiling to the other corner of the ceiling. The hypotenuse would be determined using the Pythagoras theorem.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

16² + 16²

= 256 + 256

= 512 feet

c = √512 = 22.6 feet

Total length =  22.6 feet + 64 feet = 86.63 feet

Minimum number of rolls = 86.63 / 25 = 3.46 = 4

To learn more, please check: brainly.com/question/25779356

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An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry ou
Katyanochek1 [597]

Answer:

t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17  

p_v =P(t_{(5)}  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.  

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

Step-by-step explanation:

Data given and notation  

The mean and sample deviation can be calculated from the following formulas:

\bar X =\frac{\sum_{i=1}^n x_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)}{n-1}}

\bar X=29.35 represent the sample mean  

s=1.365 represent the sample standard deviation  

n=6 sample size  

\mu_o =30 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is lower than 30 or no, the system of hypothesis are :  

Null hypothesis:\mu \geq 30  

Alternative hypothesis:\mu < 30  

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

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

t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17  

P-value  

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

df=n-1=6-1=5  

Since is a one-side left tailed test the p value would given by:  

p_v =P(t_{(5)}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.  

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

5 0
3 years ago
Enter the value that is missing
masha68 [24]
I think it’s 15.75. Because: 2•1.05=2.10. 5•1.05= 5.25. 20•1.05= 21.00. So, 15•1.05= 15.75.
3 0
3 years ago
I need help! I can’t figure it out
mixer [17]
I hope this helps... try the app called photo math

6 0
3 years ago
PLS HELP ME ASAP FOR 19!! (MUST SHOW WORK!! / STEPS!!) + LOTS OF POINTS!! *brainliest*
devlian [24]
If it is 76 feet LOWER than 73 above sea level, then you must do
73-76= -3
So Mudville is 3 feet BELOW sea level.
7 0
3 years ago
What are the numbers of pi
tresset_1 [31]
3.14?

or do you want more digits?

3.141592653589793238462643383279502884197169399375105820974944592307816406286<span> </span>
3 0
3 years ago
Read 2 more answers
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