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coldgirl [10]
2 years ago
10

Sheila went shopping and spent $120 on a coat. She then used 2/3 of the remaining money to buy a dress. She was left with 1/5 of

her original amount of money. How much did Sheila have at first?
Mathematics
1 answer:
lesya692 [45]2 years ago
3 0
(x - 120) -(2/3)*(x - 120) = (1/5)*(x)

x - 120 - 2x/3 + 80 = x/5

Like terms

2x/15 = 40

2x = 600

x = 300

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A salesman has a base salary $2600 per month and makes 3 commission on each unit sold. If his total annual compensation is $48,0
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Answer:

Each unit cost $800

Step-by-step explanation:

Annual compensation = $48,000

Annual number of units sold = 2000

Commission on each item sold = 3%

Compensation for 2000 units = $48,000

Compensation for 1 unit = $48,000/2000 = $24

Cost of one unit = compensation for one unit ÷ commission on one unit = $24 ÷ 3% = $24 ÷ 0.03 = $800

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2 years ago
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85 percent of California community college transfers feel that their community college adequately prepared them to handle upper-
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Answer:

Ans 1 is correct.

Step-by-step explanation:

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we know that

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2 years ago
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A small cube with side length 6y is placed inside a larger cube with side length 4x^2. What is the difference in the volume of t
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the different volume is the numbers. 4*2*6=?


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2 years ago
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A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The shaft clearance is equal to dif
VashaNatasha [74]

Answer:

(A)

P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx  = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192

(B)

Then the cumulative function would be

CF(x) = 1.25x - 0.25x^5       if   0<x<1

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Step-by-step explanation:

(A)

We are looking for the probability that the random variable X is greater than 0.8.

P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx  = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192

(B)

For any  x you are looking for the probability P(X \geq x)  which is

P(X \geq x)  = \int\limits_{-\infty}^{x}  1.25(1-t^4) dt = \int\limits_{0}^{x}  1.25(1-t^4) dt = 1.25x - 0.25x^2

Then the cumulative function would be

CF(x) = 1.25x - 0.25x^5       if   0<x<1

0 otherwise.

5 0
2 years ago
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Answer:

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