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Alchen [17]
3 years ago
6

Wynona buys some new boots that are priced $85.79. She gets successive discounts of 10% followed by 5% off on the boots. The pur

chase price of Wynona’s boots is _____ of the original price. a. 84% b. 84.5% c. 85% d. 85.5%
Mathematics
1 answer:
kotegsom [21]3 years ago
3 0

Answer:84.5%

Step-by-step explanation:Subtract  85.79 from 10.5 that will give you 84.5.

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Let A and B be events with =PA0.7, =PB0.3, and =PA or B0.9. (a) Compute PA and B. (b) Are A and B mutually exclusive? Explain. (
kvasek [131]

Answer:

a) P(A \cup B) = P(A) +P(B) - P(A\cap B)

And if we solve for P(A \cap B) we got:

P(A \cap B) = P(A) + P(B) -P(A\cup B)= 0.7+0.3-0.9 = 0.1

b) False

The reason is because we don't satisfy the following relationship:

P(A\cup B) = P(A) + P(B)

We have that:

0.9 \neq 0.3+0.7 =1

c) False

In order to satisfy independence we need to have the following condition:

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

And for this case we don't satisfy this relation since:

0.1 \neq 0.7*0.3 = 0.21

Step-by-step explanation:

For this case we have the following probabilities given:

P(A) = 0.7, P(B) =0.7, P(A \cup B) =0.9

Part a

We want to calculate the following probability: P(A \cap B)

And we can use the total probability rule given by:

P(A \cup B) = P(A) +P(B) - P(A\cap B)

And if we solve for P(A \cap B) we got:

P(A \cap B) = P(A) + P(B) -P(A\cup B)= 0.7+0.3-0.9 = 0.1

Part b

False

The reason is because we don't satisfy the following relationship:

P(A\cup B) = P(A) + P(B)

We have that:

0.9 \neq 0.3+0.7 =1

Part c

False

In order to satisfy independence we need to have the following condition:

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

And for this case we don't satisfy this relation since:

0.1 \neq 0.7*0.3 = 0.21

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Answer:

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  • 94 ÷ -34 = - 94/34 = -2 28/34 = -2 14/17
  • -57 ÷ -13 = 57/13 = 4 5/13
  • -53 ÷ 16 = - 53/16 = -3 5/16
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Answer:

7\sqrt{2}

Step-by-step explanation:

\sqrt{98} = 7\sqrt{2}

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Use the number line to help you solve.
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Step-by-step explanation:

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