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ruslelena [56]
3 years ago
14

A cylindrical potato chip container has a diameter of 3.5 inches and a height of 12 inches. What is the volume of the chip conta

iner? Use 3.14 for pi. Round your answer to the nearest hundredth.
57.73 in3
115.40 in3
350.65 in3
461.81 in3
Mathematics
1 answer:
Leni [432]3 years ago
8 0

Answer:

V  =  38.47 in^3

Step-by-step explanation:

The container base radius is half the diameter, that is, 1.75 in, and the height is 12 in.  The formula for the volume of a cylinder of radius r and height h is V = (1/3)(pi)(r)^2h, which in this particular case comes out to:

V = (1/3)(3.14)(1.75 in)^2*(12 in), or

V  =  38.47 in^3

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About 30% of the population cannot detect any odor when they sniff the steroid androstenone, but they can become sensitive to it
iris [78.8K]

Using the z-distribution, as we are working with a proportion, it is found that there is enough evidence to conclude that the proportion is different of 50%.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

H_0: p = 0.5


At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

H_1: p \neq 0.5.

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

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  • n is the sample size.

In this problem, the parameters are:

p = 0.5, n = 12, \overline{p} = \frac{10}{12} = 0.8333

Then, the value of the test statistic is as follows:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.8333 - 0.5}{\sqrt{\frac{0.5(0.5)}{12}}}

z = 2.31

<h3>What is the decision?</h3>

Considering a <em>two-tailed test</em>, as we are testing if the proportion is different of a value, with a <em>significance level of 0.05</em>, the critical value is of |z^{\ast} = 1.96.

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More can be learned about the z-distribution at brainly.com/question/26454209

5 0
2 years ago
2×3x+8u÷(-2/4)= -66
gulaghasi [49]
The appropriate choice is
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The equation can be rewritten as
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or
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The graph shows where the various answer options lie in relation to the line described by the equation. Only (5, 6) lies on the line, so that is the only appropriate set of values for (x, u).

7 0
3 years ago
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