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Darya [45]
3 years ago
12

Gee thank you mister for helping if you did

Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0

Answer: 50.2

Step-by-step explanation:

C = 2πr

= 2 * 3.14 * 8

= 50.24

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Assume the hold time of callers to a cable company is normally distributed with a mean of 5.5 minutes and a standard deviation o
Ierofanga [76]

Answer:

The percent of callers are 37.21 who are on hold.

Step-by-step explanation:

Given:

A normally distributed data.

Mean of the data, \mu = 5.5 mins

Standard deviation, \sigma = 0.4 mins

We have to find the callers percentage who are on hold between 5.4 and 5.8 mins.

Lets find z-score on each raw score.

⇒ z_1=\frac{x_1-\mu}{\sigma}   ...raw score,x_1 = 5.4

⇒ Plugging the values.

⇒ z_1=\frac{5.4-5.5}{0.4}

⇒ z_1=-0.25  

For raw score 5.5 the z score is.

⇒ z_2=\frac{5.8-5.5}{0.4}  

⇒ z_2=0.75

Now we have to look upon the values from Z score table and arrange them in probability terms then convert it into percentages.

We have to work with P(5.4<z<5.8).

⇒ P(5.4

⇒ P(-0.25

⇒ P(z

⇒ z(1.5)=0.7734 and z(-0.25)=0.4013.<em>..from z -score table.</em>

⇒ 0.7734-0.4013

⇒ 0.3721

To find the percentage we have to multiply with 100.

⇒ 0.3721\times 100

⇒ 37.21 %

The percent of callers who are on hold between 5.4 minutes to 5.8 minutes is 37.21

4 0
3 years ago
Determine the holes, vertical asymptotes, and horizontal asymptotes of the rational function y=3x^2+10x-8/x^2+7x+12
kompoz [17]
There would be a hole when x = -4.

If you factor both the top and the bottom, you will see that the factor (x + 4) is in both the numerator and denominator. Therefore, the would be a hole when x = -4 because that would also make the denominator 0.
8 0
3 years ago
Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle B is (2 n + 32) degrees and angle D is (4 n minus 2) degre
Kobotan [32]

Answer:

n=17

Step-by-step explanation:

you have to set the two equations equal to each other because its angles are the same. once you do this, its just simple algebra, trying to solve for n. Hope this helps :)

8 0
3 years ago
Read 2 more answers
The quotient of 2 and the sum of a number and 1
siniylev [52]

Answer:

2/(x + 1)

Step-by-step explanation:

4 0
3 years ago
Find two positive numbers a and b (witha≤b) whose sum is 88 and whose product is maximized.
Allushta [10]

a + b = 88 <span>
<span>
</span><span>ab = y
</span><span>
</span><span>a = 88 - b
</span><span>
</span><span>y = (88 - b)*b
</span> <span>y = -b^2 + 88b
</span><span>
</span><span>Take the derivative and set equal to 0
</span><span>
</span><span>y' = -2b + 88 = 0
</span><span>
</span><span>2b = 88
</span> <span>b = 44 </span></span>

<span><span>a=44</span></span>

<span><span> both numbers are 44</span></span>

3 0
3 years ago
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