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tamaranim1 [39]
3 years ago
6

Josie's Pie Shop has 20 pies for sale, including 6 chocolate cream pies.

Mathematics
1 answer:
ANTONII [103]3 years ago
5 0
30%. You can get this by dividing the number of them by the total number and multiplying by 100. 
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Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.
AlladinOne [14]

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715

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p = \frac{D}{T} = \frac{1}{715} = 0.0014

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

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3 years ago
Ron is designing a new slide for the amusement park in town the slide makes an angle of 39 degrees with the ground.The top of th
Fynjy0 [20]

Answer:

The length of the slide he needs to make = AC = L = 14.3 ft

Step-by-step explanation:

From the Δ ABC

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From  Δ ABC

\sin \theta = \frac{AB}{AC}

Put all the value in the above formula

\sin 39 = \frac{9}{L}

L = \frac{9}{0.629}

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Therefore the length of the slide he needs to make = AC = L = 14.3 ft

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547.125

Step-by-step explanation:

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