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jek_recluse [69]
2 years ago
9

For a population with µ = 40 and σ = 8, what is the z-score corresponding to X = 34?

Mathematics
1 answer:
Nastasia [14]2 years ago
3 0

Answer:

Step-by-step explanation:

\frac{34-40}{8}= -.75

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A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study
Semenov [28]

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write R=PC.

Per price increase is $20. So four price increase is $20*4=$80. Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4*2=8 customers are reduced. Hence, total customers is 30-8=22.

So Total Revenue is:

R=180*22=3960


B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

R=(100+2x)(30-2x)=-40x^{2}+400x+3000


C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as x=-\frac{b}{2a}, where a is the coefficient of x^{2} and b is the coefficient of x. So we have,

x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5*20=100. So the price that gives the greatest revenue is 100+100=200.

ANSWERS:

A. $3960

B. R=-40x^{2}+400x+3000

C. $200

4 0
3 years ago
HELP PLEASE!!!❗️❗️❗️
Aleksandr [31]
8,-7 thats ur answer
8 0
3 years ago
Which equation represents the statement thirteen less then a number is forty two
Ludmilka [50]
X-13=42 
x is the "variable", you're taking 13 away from that, and the answer is also given, 42. 
3 0
3 years ago
Read 2 more answers
What is a reasonable measure for the angle shown?
dimaraw [331]
I would say 120 since it’s not at the end near 170

4 0
2 years ago
The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $3.94 (U
tekilochka [14]

Answer:

a) 25

b) 49

c) 97

Step-by-step explanation:

The sample size is calculated using the formula, n = (\frac{\sigma\times z}{\textup{Margin of error}})^2

Now,

for 95% confidence level value of z-factor = 1.96

Given:

Mean = $3.94

standard deviation = $0.25

thus,

a) for margin of error = $0.10

n = (\frac{\sigma\times z}{\textup{Margin of error}})^2

or

n = (\frac{0.25\times1.96}{\textup{0.10}})^2

or

n = 4.9²

or

n = 24.01 ≈ 25               (Rounded off to next integer)

b) for margin of error = $0.07

n = (\frac{\sigma\times z}{\textup{Margin of error}})^2

or

n = (\frac{0.25\times1.96}{\textup{0.07}})^2

or

n = 7²

or

n = 49

c) for margin of error = $0.05

n = (\frac{\sigma\times z}{\textup{Margin of error}})^2

or

n = (\frac{0.25\times1.96}{\textup{0.05}})^2

or

n = 9.8²

or

n = 96.04 ≈ 97               (Rounded off to next integer)

6 0
3 years ago
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