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n200080 [17]
3 years ago
6

People arrive at a college admissions office at rate 1 per minute, and the arrival is a Poisson process. When k people have arri

ve, a tour starts. Student tour guides are paid $20 for each tour they conduct. The college estimates that it loses ten cents in good will for each minute a person waits. What tour group (not counting the guide) minimizes the average cost per person?
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0

Answer:

K=20

Step-by-step explanation:

There seem to be no randomness in the question.

At 1 per minutes the arrival rate is fixed.

Then compute the average cost for each person to give a four, adding the cost of guide and time waiting cost..

Therefore, K is the number of people hoping will show up.

Number of per minute waiting

= 1/2(K-1)K.

Tour cost 20+1/20(K-1).

Cost per guest= 20/k +1/20(K-1)

If the derivative is set to Zero

K=20

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If Y varies directly with X solve the following :
BARSIC [14]

Answer:

a) x = -270

b) y = 304/9 or y = 33.78

c) x = -37.8

Step-by-step explanation:

y varies directly with x so y = kx

a)

y = kx

k = y/x

k = 10/-30 = -1/3

So

y = -1/3 x

If y = 90 then

90 = -1/3 x

x = 90 *(-3) = -270

b)

k = y/x

k = -19/-4.5

k = 38/9

So

y = 38/9 x

If x = - 8 then

y = 38/9 *(-8)

y = 304/9 or y = 33.78

c)

k = y/x

k = -4.3 / 12.9

k = - 1/3

So

y = -1/3 x

If y = 12.6 then

12.6 = -1/3 x

x = 12.6 *(-3)

x = -37.8

5 0
3 years ago
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nekit [7.7K]

Answer:

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Step-by-step explanation:

7 0
3 years ago
In choice box 1
lisov135 [29]

Answer:

Choice box 1: Always

Choice box 2: exactly 2 pairs

Choice box 3: adjacent

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If you look at a picture of a kite.

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8 0
2 years ago
Read 2 more answers
The scores of a high school entrance exam are approximately normally distributed with a given mean mu = 82.4 and standard deviat
Slav-nsk [51]

The percentage of the scores that are between 75.8 and 89 is; 95%

<h3>How to find the percentage from z-score?</h3>

We are given;

Population mean; μ

Standard deviation; σ = 3.3

Thus;

z-score for a mean score of 75.8 is;

z = (75.8 - 82.4)/3.3

z = -2

z-score for a mean score of 89 is;

z = (89 - 82.4)/3.3

z = 2

From online p-value from z-score calculator, the p-value between both z-scores is;

p-value = 0.9545 = 95.45%

Approximating to the nearest percent = 95%

Read more about z-score at; brainly.com/question/25638875

#SPJ1

6 0
2 years ago
Jabar earns $5 for the first 10 pounds of newspaper he recycles, then $0.25 for each additional pound. Which expression represen
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