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djverab [1.8K]
3 years ago
5

A document is awarded to a person for completing a course of a study that does not lead to a degree is called a ____.

Mathematics
1 answer:
tatiyna3 years ago
8 0
I got you. The answer would be A (Certificate)
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How large a sample should be selected to provide a 95% confidence interval with a margin of error of 6? Assume that the populati
marshall27 [118]

Using the z-distribution, it is found that a sample of 171 should be selected.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

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

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

For this problem, the parameters are:

z = 1.96, \sigma = 40, M = 6

Hence we solve for n to find the needed sample size.

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

6 = 1.96\frac{40}{\sqrt{n}}

6\sqrt{n} = 40 \times 1.96

\sqrt{n} = \frac{40 \times 1.96}{6}

(\sqrt{n})^2 = \left(\frac{40 \times 1.96}{6}\right)^2

n = 170.7.

Rounding up, a sample of 171 should be selected.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
2 years ago
Ames wants to informally prove the converse of the Pythagorean Theorem by producing some evidence that supports it.
Mazyrski [523]

Answer:

The second and fourth one is right

Step-by-step explanation:

A²+ B² = C²

15² + 20² = 25²

225 + 400 = 625

625 = 625

16² + 30² = 34²

256 + 900 = 1156

1156 = 1156

They both check out

3 0
4 years ago
What is the product of 3 2/3 + 14 2/5?
Volgvan
<span>So we wan't to know what is the sum of 3 2/3 and 14 2/5. First lets turn them into fractions: first one is 11/3 and the second is 72/5. Now lets add them: We multiply fractions this way: (a/b)+(c/d)={(a*d)+(c*b)}/(b*d). Following this rule: {(11*5)+(72*3)}/(3*5)={55+146}/15=201/15. and finally lets turn it back into a mixed number: 13 6/15</span>
3 0
3 years ago
Someone pls help me! ❤️❤️❤️
Rom4ik [11]

Answer:

(x-1) ( x -i) (x+i)

Step-by-step explanation:

x^3 -2x^2 +x-2

Factor by grouping

x^3 -2x^2      +x-2

x^2(x-2)      +1(x-2)

Factor out (x-2)

(x-2) (x^2+1)

Rewriting

(x-1) ( x^2 - (-1)^2)

(x-1) ( x -i) (x+i)

6 0
4 years ago
Read 2 more answers
15 miles and 10 hours would be what miles per hour
suter [353]

Answer: 1.5miles/hour

Step-by-step explanation:

7 0
3 years ago
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