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Nookie1986 [14]
2 years ago
12

Using 3.14 for pi what is the radius of a circle with a circumference 34.5 m

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
8 0
We know, C = 2πr
So, 34.5 = 2 * 3.14 * r
r = 34.5 / 6.28
r = 5.49 m

In short, Your Answer would be 5.49 m

Hope this helps!
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Using traditional methods it takes 92 hours to receive an advanced flying license. A new training technique using Computer Aided
DanielleElmas [232]

Answer:

The value of the test statistic is z = 1.39.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

Step-by-step explanation:

Using traditional methods it takes 92 hours to receive an advanced flying license.

This means that at the null hypothesis, it is tested if the mean is of 92, that is:

H_0: \mu = 92

Test if there is evidence that the technique lengthens the training time

At the alternative hypothesis, it is tested if the mean is more than 92, that is:

H_1: \mu > 92

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

92 is tested at the null hypothesis:

This means that \mu = 92

A researcher used the technique on 70 students and observed that they had a mean of 93 hours. Assume the population variance is known to be 36.

This means that n = 70, X = 93, \sigma = \sqrt{36} = 6

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{93 - 92}{\frac{6}{\sqrt{70}}}

z = 1.39

The value of the test statistic is z = 1.39.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 93, which is 1 subtracted by the p-value of z = 1.39.

Looking at the z-table, z = 1.39 has a p-value of 0.9177.

1 - 0.9177 = 0.0823.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

8 0
2 years ago
A store sells 3 videotapes for $4.99. find the unit rate
iogann1982 [59]
1.66333333 because u divide 4.99 by 3 to get the value of one
7 0
3 years ago
Dante is a software salesman. Let represent his total pay (in dollars). Let represent the number of copies of History is Fun he
valentina_108 [34]

Considering the given linear function, we have that:

  • The change for each copy that he sells is of $120.
  • If he sells no copies, he makes $2400.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

His payment for x copies bought is:

y = 120x + 2400.

Hence:

  • The change for each copy that he sells is of $120, as the slope is of $120.
  • If he sells no copies, he makes $2400, which is the y-intercept.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

4 0
1 year ago
What is formed when the number of electrons is changed?
oksano4ka [1.4K]

Answer:

A New Element

3 0
2 years ago
Read 2 more answers
A. 0.27 and 0.50
defon

Answer:

Part 1

a. .27 < .50

b. .33 < .75

c. 4.60 > 3.89

d. .76 > .08

e. .09 < .11

f. 3.33 > 3.30

Part 2

.27(2)= .54

.50(1)= .50

.27(2)= .54 is larger than .50 because if it was money, .54 is greater than .50

Step-by-step explanation:

3 0
3 years ago
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