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elena-s [515]
3 years ago
11

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

Mathematics
1 answer:
vitfil [10]3 years ago
5 0
If you just mean the product of the prime factors of 39 then this is the answer

39 = 3 x 13
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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 minus​3%." 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]

  ▶︎◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◀︎

Hello There!

We need to find what number, if 6 is divided by it, gives us 12.

This isn't hard, I promise! I am going to take you through a few steps, and we'll find the answer.

Are you ready? Then let's begin...:)

Procedure:

  ✦ We can think about it as: 6 divided by what number gives us 12?

(let the number be z)

^6/_z=12

Multiply both sides by z

6=12z

Divide both sides by z

z=^6/_{12}

Which is the same as

z=^1/_2

  • hope it's helpful!
  • wishing you a great day!

Greetings!

--

6 0
2 years ago
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