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MakcuM [25]
3 years ago
9

C is equidistant from A and B. What is the value of x? A. 6 B. 8 C. 12 D. 14

Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0
The correct answer that i came up with is D
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The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30
o-na [289]

Answer:

p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

\bar X represent the sample mean

n = 30 sample size

s= 0.2 represent the sample deviation

\sigma_o =\sqrt{0.027}=0.164 the value that we want to test

p_v represent the p value for the test

t represent the statistic

\alpha= significance level

State the null and alternative hypothesis

On this case we want to check if the population standard deviation is less than 0.027, so the system of hypothesis are:

H0: \sigma \leq 0.027

H1: \sigma >0.027

In order to check the hypothesis we need to calculate the statistic given by the following formula:

t=(n-1) [\frac{s}{\sigma_o}]^2

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

t=(30-1) [\frac{0.2}{0.164}]^2 =42.963

What is the approximate p-value of the test?

The degrees of freedom are given by:

df=n-1= 30-1=29

For this case since we have a right tailed test the p value is given by:

p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459

And the best option would be:

b. between .025 and .05

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3 years ago
1. Name the figure (It is not a cube; it is not a cylinder; what is it?)
Arlecino [84]
1. It is a triangular prism

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3 years ago
To solve the equation 12x = –72, you ?
IgorLugansk [536]

12x=-72 //:12

12x:12=-72:12

x=-6

6 0
3 years ago
0.1325 to thr hundredths
viktelen [127]
.13 hope this helps :D
6 0
3 years ago
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A dog’s heart beats 6600 times in an hour. What is their pulse rate in beats per minute?
Artist 52 [7]

Answer:

110 beats per minute.

Step-by-step explanation:

Since we know it beats 6600 beats per hour and there are 60 minutes in an hour then we have to divide 6600 by 60 which is 110.

7 0
3 years ago
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