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Svetradugi [14.3K]
3 years ago
13

What is the base area of the cone?

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0

Answer:

Step-by-step explanation:

In order to find the area of the circle base, we need the radius, and we don't have it. We'll use the volume to find the radius, as follows:

V=\frac{1}{3}\pi r^2h and fill in the givens:

75=\frac{1}{3}\pi r^2(5) and solve that for r;

r=\sqrt{\frac{3(75)}{5\pi} } so

r = 3.784698783 and plug that in for the radius to find the area of the circle base:

A=\pi r^2 so

A=\pi (3.784698783)^2 gives you that

A = 45 meters squared, exactly. No decimal.

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3 years ago
The weights of soy patties sold by Veggie Burgers Delight are normally distributed. A random sample of 15 patties yields a mean
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Answer:

t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549    

Step-by-step explanation:

Data given and notation  

\bar X=3.8 represent the sample mean

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n=15 sample size  

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\alpha represent the significance level for the hypothesis test.  

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We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:  

Null hypothesis:\mu \geq 68  

Alternative hypothesis:\mu < 4  

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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{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549    

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