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Tems11 [23]
3 years ago
12

for a special concert by a popular band, the concert hall owner decided to charge $20 per ticket for the first "r" rows and $15

for the remaining rows. remember, there are a total of 40 rows with 20 seats in each row and the expense to operate this concert is $275.

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0
R = 16 according to the problem, so the total amount of income will be:
$20*16 + $15*(40 - 16)
= $320 + <span>$15*(24)
= </span>$320 + <span>$360
= $680
that is the income, but the expenses are $275 so the total revenue is the subtraction of those two
total revenue = $680 - $275
= $405</span>
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After an extensive advertising campaign, the manager of a company expects the proportion of potential customers that recognize a
lina2011 [118]

Answer:

Step-by-step explanation:

Hello!

The study variable is:

X: number of customers that recognize a new product out of 120.

There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.

The sample proportion obtained is:

p'= 54/120= 0.45

Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p;\sqrt{\frac{p(1-p)}{n} })

The other conditions for this approximation are also met: (n*p)≥5 and (n*q)≥5

The probability of getting the calculated sample proportion, or lower is:

P(X≤0.45)= P(Z≤\frac{0.45-0.6}{\sqrt{\frac{0.6*0.4}{120} } })= P(Z≤-3.35)= 0.000

This type of problem is for the sample proportion.

I hope this helps!

5 0
3 years ago
HELPP!!
Tamiku [17]

Answer:

$1,562.50

Step-by-step explanation:

Markup= (selling price- cost)/cost

Let cost be represented by  C

0.20 = (1875-C)/ C

0.20C = 1875 - C

0.20C+ C = 1875

1.20C=1875

Divide both sides by 1.20;

C= 1875/1.20

C= $1,562.50

The wholesale cost was $1,562.50

4 0
3 years ago
Let’s assume that human body temperatures are normally distributed with a mean of 98.20° F and a standard deviation of 0.62° F.
uysha [10]

Answer: It is such a small percentage of the population that would be considered to have fever at that level.

So, it is not appropriate stringent standard.

Step-by-step explanation:

Since we have given that

Mean = 98.20°F

Standard deviation = 0.62°F

If  Bellevue Hospital in New York City uses 100.6°F as the lowest temperature considered to be a fever.

So, \bar{X}=100.6^\circ F

So, using the normal distribution, we first find the value of z.

z=\dfrac{\bar{x}-\mu}{\sigma}\\\\x=\dfrac{100.6-98.2}{0.62}\\\\z=3.87

Since z = 3.87

So, p = 0.0001 =0.1%

So,It is such a small percentage of the population that would be considered to have fever at that level.

So, it is not appropriate stringent standard.

4 0
3 years ago
Which expression is equivalent to (73)-2
padilas [110]

Answer:

73*-2 =-146 you have to multiply the 73 to the -2

Step-by-step explanation:

6 0
3 years ago
(3 x 105 ) x (2 x 103 )
anzhelika [568]

Answer:

64,890

Step-by-step explanation:

105×3 =315

103×2= 206

315×206= 64,890

6 0
3 years ago
Read 2 more answers
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