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julia-pushkina [17]
3 years ago
10

The diameter of a soccer ball is 8.65 inches. What is the volume of the ball, rounded to the nearest hundredth

Mathematics
1 answer:
yarga [219]3 years ago
8 0
The volume of a sphere is (4πr^3)/3 and since r=d/2, volume of a given sphere with respect to its diameter is:

V=(4πd^3)/24

V=(πd^3)/6  in this case d=8.65 so

V≈338.88 in^3  (to the nearest hundredth)
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Answer:

1.59 change

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A coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers
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Answer:

Null hypothesis:\mu = 65  

Alternative hypothesis:\mu \neq 65

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".  

For this case the value of \mu represent the parameter associated to the population (True average of cofee temperature)

Step-by-step explanation:

Data given and notation  

\bar X=70.2 represent the mean height for the sample  

s represent the sample standard deviation for the sample  

n=20 sample size  

\mu_o =765 represent the value that we want to test

\alpha 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 i equal to 70.2, the system of hypothesis would be:  

Null hypothesis:\mu = 65  

Alternative hypothesis:\mu \neq 65  

If we analyze the size for the sample is < 30 and we don't know the population deviation so 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".  

For this case the value of \mu represent the parameter associated to the population (True average of cofee temperature)

3 0
3 years ago
How do I solve this question
sammy [17]
The picture is kind of blurry could you please take a clearer one?

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