MATHEMATICS MIDDLE SCHOOL

At a store, the probability that a customer buys socks is 0.15. The probabilitythat a customer buys socks given that the customer buys shoes is 0.20.
Which statement is true?
O
A. Buying socks and buying shoes are dependent events.
O
B. The probability that a customer buys socks and shoes is 0.05.
C. Every customer who buys shoes also buys socks.
D. Buying socks and buying shoes are independent events.

Answers

Answer 1
Answer:

Answer:

A. Buying socks and buying shoes are dependent events.

Step-by-step explanation:

We are given that

The probability that a customer buys socks ,P(A)=0.15

The probability that a customer socks given that the customer buys shoes P(A\B)=0.20

The probability that a customer buys shoes,P(B)=1-0.15=0.85

By using formula P(E')=1-P(E)

Where P(E)= Probability of an event that is happened

P(E')=Probability of an event that is not happened

We have to find P(A\capB)  for two events

P(A)\cdot P(B)

=0.85* 0.15=0.1275

We know that conditional probability of an event when given that the probability of an event B is given

P((A)/(B))=(P(A\cap B))/(P(B))

0.20=(P(A\cap B))/(0.85)

P(A\cap B)=0.20* 0.85=0.17

P(A\cap B)\neq P(A)\cdot P(B).

Therefore, the two events are dependent .Hence, Buying socks and buying shoes are dependent events.

Therefore, option A is true.

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Answer:

18 peas

Step-by-step explanation:

The length of a green bean pod = 8.5 centimeters

Pod contains peas that average in diameter = 0.45 centimeters.

Now we have to calculate the number of peas contains in the pod.

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Sarah burns an average of 744 calories in 45 minutes while running. She ran at 10 miles per hour. There are 5,280 feet per a mile. How many calories did Sarah burn per foot? Round to the nearest tenthousandth.

Answers

Number of miles ran by Sarah in 1 hour or 60 minutes = 10 miles
Then
The number of miles ran by Sarah in 45 minutes = (10/60) * 45 miles
                                                                               = (45/6) miles
                                                                               = 15/2 miles
                                                                               = 7.5 miles
Now we already get from the question certain important data. From those data we come to know
1 mile = 5280 feet
So
7.5 miles = (5280 * 7.5) feet
                = 39600 feet
By running 39600 feet the amount of calories burnt by Sarah = 744 calories
So
By running 1 foot, the amount of calories burnt by Sarah = (744/39600) calories
                                                                                           = 0.019 calories
                                                                                           = 0.02 calories
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