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nalin [4]
3 years ago
13

the revenue for the school play is given by: r=-50t^2 + 300t, where “t” is ticket price in dollars. The cost to produce the play

is given by: C=600-50t. Determine the ticket price that will allow Script & Cur to break even.
Mathematics
1 answer:
artcher [175]3 years ago
7 0

ANSWER

$3

Or

$4

EXPLANATION

The revenue function is

r =  - 50 {t}^{2}  + 300t

The cost function is,

C=600-50t

In order to break even, revenue must be equal to cost.

600 - 50t= -50 {t}^{2}  + 300t

Group every term on the LHS.

50 {t}^{2}  - 300t - 50t + 600 = 0

50{t}^{2}  - 350t + 600 = 0

Divide through by 50.

{t}^{2}  - 7t + 12= 0

Factor to obtain,

(t - 3)(t - 4) = 0

t = 3 \: or \: t = 4

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App 19.study
lions [1.4K]

Answer:

1 \to 22 \to 0.176

2 \to 13 \to 0.104

3 \to 18 \to 0.144

4 \to 29 \to 0.232

5 \to 37 \to 0.296

6 \to 6 \to 0.048

Step-by-step explanation:

Given

n = 125

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

Pr = \frac{Frequency}{n}

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

Pr(2) = \frac{13}{125} = 0.104

Pr(4) = \frac{29}{125} = 0.232

Pr(6) = \frac{6}{125} = 0.048

When the frequency is to be calculated, we use:

Pr = \frac{Frequency}{n}

Frequency = n * Pr

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

Frequency(3) = 125 * 0.144 = 18

Frequency(5) = 125 * 0.296 = 37

For roll of 1 where the frequency and the probability are not known, we use:

Total \ Frequency = 125

So:

Frequency(1) added to others must equal 125

This gives:

Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125

Frequency(1) + 103 = 125

Collect like terms

Frequency(1) =- 103 + 125

Frequency(1) =22

The probability is then calculated as:

Pr(1) = \frac{22}{125}

Pr(1) = 0.176

So, the complete table is:

1 \to 22 \to 0.176

2 \to 13 \to 0.104

3 \to 18 \to 0.144

4 \to 29 \to 0.232

5 \to 37 \to 0.296

6 \to 6 \to 0.048

5 0
3 years ago
Below are 36 sorted ages of an acting award winner. Find Upper P70 using the method presented in the textbook.
Leona [35]
The upper 70th percentile is the number below which 70% of the data lie.

The 70th percentile position is given by:

P_{70}= \frac{70N}{100} = \frac{70(36)}{100} =25.2

Thus, the 70th percentile position is approximately the 25th data item (after the data has been arranged in acsending order).

Given the following data:
<span>16 24 25 26 27 29 36 39 39 39 40 44 45 47 47 48 50 51 51 53 53 54 57 58
58 60 65 66 67 69 69 71 72 74 74 74

The 25th data in the data set is 58.

Therefore, the upper P70 is 58.
</span>
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3 years ago
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Soraya is one of 9 players in the starting lineup for her softball team. the coach chooses the batting order of the starting pla
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Answer:

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the answer for this would be 10,946,988.

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Answer:

14

Step-by-step explanation:

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I just played with the numbers and found that 14 + 14^2 (14 squared is 14 x 14).

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