Express each number as a product of its prime factor of 39

A sample of 50 drills had a mean lifetime of 12.17 holes drilled when drilling a low-carbon steel. Assume the population standar

zmey [24]

Using the z-distribution, it is found that the 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

We are given the <u>standard deviation for the population</u>, hence, the z-distribution is used. The parameters for the interval is:

Sample mean of $\overline{x} = 12.17$
Population standard deviation of $\sigma = 6.37$
Sample size of $n = 50$ .

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which z is the critical value.

We have to find the critical value, which is z with a p-value of $\frac{1 + \alpha}{2}$ , in which $\alpha$ is the confidence level.

In this problem, $\alpha = 0.95$ , thus, z with a p-value of $\frac{1 + 0.95}{2} = 0.975$ , which means that it is z = 1.96.

Then:

$M = 1.96\frac{6.37}{\sqrt{50}} = 1.77$

The confidence interval is the <u>sample mean plus/minutes the margin of error</u>, hence:

$\overline{x} - M = 12.17 - 1.77 = 10.4$

$\overline{x} + M = 12.17 + 1.77 = 13.94$

The 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

A similar problem is given at brainly.com/question/22596713

6 0

3 years ago

Days before a presidential election, a nationwide random sample of registered voters was taken. Based on this random sample, i

leonid [27]

Answer:

No.

Step-by-step explanation:

Based on the sample, "52% of registered voters plan on voting for Robert Smith with a margin of error of plus or minus3%." The margin of error was based on a 95% confidence level.

Then 95% Confidence Interval is between 49% and 55%. Since confidence interval also includes non-majority proportions, the assumption that "95% confidence, Robert Smith will win the election" cannot be made.

6 0

3 years ago

PLEASE HELP WITH THIS QUESTION

Burka [1]

One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:

– Multiplied: Add their exponents
– Divided: Subtract their exponents

We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have

[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]

For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us

5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2

And summing the terms in the second:

3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2

Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.

Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is

2^0, which is just 1.

5 0

3 years ago

The graph of the linear parent function is a ________________ line.

Vadim26 [7]

Answer:

straight ?

Step-by-step explanation:

7 0

3 years ago

What is 6 divided by a number that will give you 12

AURORKA [14]

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