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natulia [17]
3 years ago
10

Solve the problem

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
4 0

Answer:

11,000 paid $14 for reserved seats.

25,000 paid $6 for general admission.

Step-by-step explanation:

<u>First, we need to establish the system of equations:</u>

x= number of people that pay $14

y= number of people that pay $6

14*x + 6*y= $304,000

x + y= 36,000

<u>Now, we isolate x in one equation and substitute it in the other one:</u>

x= 36,000 - y

14*(36,000 - y) + 6y = 304,000

504,000 - 8y = 304,000

200,000 = 8y

25,000 = y

x= 36,000 - 25,000

x= 11,000

11,000 paid $14 for reserved seats.

25,000 paid $6 for general admission.

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Brilliant_brown [7]

Answer:

G - number of arrangements

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7 0
3 years ago
The U.S. Census Bureau announced that the median sales price in 2014 for new homes was $282,800 and the mean sales price was $34
victus00 [196]

Answer:

a) 0.9964

b) 0.3040

Step-by-step explanation:

Given data:

standard deviation =  $90,000

Mean sales price =$345,800

sample mean =  $370,000

Total number of sample = 100

calculate z score for [/tex](\bar x = 370000)[/tex]

z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{370000 - 345800}{\frac{90000}{\sqrt{100}}}

z = 2.689

P(x<370000) = P(Z<2.689)

FROM STANDARD NORMAL DISTRIBUTION TABLE FOR Z P(Z<2.689) = 0.9964

B)

calculate z score for (\bar x = 350000)

z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{350000 - 345800}{\frac{90000}{\sqrt{100}}}

z = 2.133

P(350000 \leq \bar x \leq 365000) = P(0.467 \leq Z\leq 2.133) = P(Z\leq 2.133) - P(Z\leq 0.467)

FROM NORMAL DISTRIBUTION TABLE Z VALUE FOR

P(Z\leq 2.133) = 0.9836

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SO,  = 0.9836 - 0.6796 = 0.3040

4 0
3 years ago
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Answer:

144 degrees

Step-by-step explanation:

We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:

(n-2)(180) = ?

(10-2)(180) = ?

(8)(180) = 1440.

Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).

1,440/10 = 144

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Answer:

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Step-by-step explanation:

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