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Ganezh [65]
3 years ago
5

Don earns $18.25 per hour. This week, he earned $657 in straight-time pay. How many hours did he work?

Mathematics
1 answer:
Zina [86]3 years ago
5 0
36 hours. $657 divided by $18.25 is 36
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A multiple choice exam has 20 questions. Each question has 3 possible answers; there is no partial credit. Only 1 answer out of
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First, we'll assume that he'll attempt all of the questions, i.e he'll attempt all 10 questions.

Next assumption is that each option in each question is equally likely to be marked by the student.

This pretty much leads us to a binomial probability distribution.

Conditions are:

   Answers 10 questions.

   Each question has 4 options with only one correct answer and all other incorrect answers.

   Student is equally likely to pick any outcome in any given question.

   Hence, probability of choosing correct answer is 1/4 = 0.25. Probability of choosing incorrect answer is 1–1/4 = 3/4 = 0.75.

   The number of trials is 10.

   Total number of success is exactly 8 and failure is 2 amongst the 10 questions in any particular order.

Now, calculation is fairly simple.

Binomial probability distribution is such that…

P(8 correct ; 2 wrong)

= 10C8 × (0.25)^8 × (0.75)²

= 405/1048576 ≈ 3.862380981 × 10^-4 ≈ 0.000386

Step-by-step explanation:

6 0
3 years ago
Four friends own a car wash. The total profit in the first month was $438$438. In two months, each of the friends had made a pro
goblinko [34]
If you  take 438 divided by 4 = 109.5 109.5 + 74.5 = 184 74.5 x 4 = 298
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3 years ago
How to do this problem
True [87]
One way in which to approach this proof would be to convert 

1                       (cos x)^2
------------- into ---------------- .  Next, note that 1 - (sin x)^2 = (cos x)^2
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Then we have:

(cos x)^2        (cos x)^2
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3 0
3 years ago
Help help help help math
VashaNatasha [74]
F(-1)=-3(-1)+3
F(-1)= 3+3
F(-1)=6
7 0
2 years ago
The length of a rectangle is twice the width. The perimeter 66ft. Find the length and the width
Viefleur [7K]
P = 2l + 2w

l = 2x
w = x

66 = 2(2x) + 2(x)
66 = 4x + 2x
66 = 6x
/6     /6
11 = x

L = 2x
L = 2(11)
L = 22

W = x
W = 11

Therefore the length is 22ft and the width is 11ft
3 0
3 years ago
Read 2 more answers
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