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Dmitriy789 [7]
2 years ago
15

Stephen has a bag of candy that he is dividing up between 4 friends. If Stephen and his friends each got at least 30 pieces of c

andy. Write and solve an inequality to determine the minimum amount of candy in the bag.
Mathematics
1 answer:
ikadub [295]2 years ago
8 0
4 x 30 is 120 so Amount they get or x > 30
=


X > 30
=
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A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the
Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

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

The order in which the peaches 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)!}

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1

Total outcomes:

12 peaches, from a set of 15. So

T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455

Probability:

p = \frac{D}{T} = \frac{1}{455} = 0.0021

0.21% probability that there are no bad peaches in the peach cobbler.

(b) What is the probability of having at least 1 bad peach in the peach cobbler?

Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So

p + 0.21 = 100

p = 99.79

99.79% probability of having at least 1 bad peach in the peach cobbler

(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?

Desired outcomes:

2 bad peaches, from a set of 3.

One good peach, from a set of 12.

D = C_{3,2}*C_{12,1} = \frac{3!}{2!(3-2)!}*\frac{12!}{1!(12 - 1)!} = 36

Total outcomes:

12 peaches, from a set of 15. So

T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455

Probability:

p = \frac{D}{T} = \frac{36}{455} = 0.0791

7.91% probability of having exactly 2 bad peaches in the peach cobbler.

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3 years ago
DIG DEEPER! A truck produces 22 pounds of carbon dioxide for every gallon of diesel
Illusion [34]

Answer:

y=22    x=18

Step-by-step explanation:

4 0
2 years ago
sofia has to walk 1 2/25 miles to school. she has already walk 2/3 of a mile. how much farther dose she need to walk ? help me p
love history [14]

Answer:

She need to walk 31/75 miles to school.

Step-by-step explanation:

It is given that,

Sofia has walk 1\dfrac{2}{25} miles to school. She has already walk \dfrac{2}{3} of a mile.

We need to find how much farther does she need to walk.

Total distance =  1\dfrac{2}{25} =\dfrac{27}{25}

Let she has to walk x distance to school.

x=\dfrac{27}{25}-\dfrac{2}{3}\\\\=\dfrac{31}{75}

Hence, she need to walk 31/75 miles to school.

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Sam bought an $85.00 for 40% of the regular price.How much did he pay for the jacket?
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Answer:

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Step-by-step explanation:

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Micah has two valuable watches.
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Answer:£149

Step-by-step explanation:

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