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scoray [572]
3 years ago
15

Jessica was sitting in row 9, seat 3 at a soccer game when she discovered her ticket was for row 1, seat 1. Write a rule to desc

ribe the translation needed to put her in the proper seat.
A. T<-8,2> (Jessica)

B. T<8,2> (Jessica)

C. T<-8,-2> (Jessica)

D. T<8,-2> (Jessica)
Mathematics
1 answer:
Westkost [7]3 years ago
4 0

rule is to  shift 8 units left & , shift 2 units down , Correct option C)  T<-8,-2> (Jessica) ,

<u>Step-by-step explanation:</u>

Here we have , Jessica was sitting in row 9, seat 3 at a soccer game when she discovered her ticket was for row 1, seat 1. We need to Write a rule to describe the translation needed to put her in the proper seat. Let's do this:

Suppose the above problem in coordinate system where we have a point P(9,3) , And we need to write rule for translation of this point to Q(1,1) .

Let , (x,y)=(9,3) , Now shift 8 units left i.e.

⇒  (x,y)=(9,3)

⇒  (x-8,y)=(9-8,3)

⇒  (x-8,y)=(1,3)

Now , shift 2 units down i.e.

⇒  (x-8,y)=(1,3)

⇒  (x-8,y-2)=(1,3-2)

⇒  (x-8,y-2)=(1,1)

Therefore , rule is to  shift 8 units left & , shift 2 units down , Correct option C)  T<-8,-2> (Jessica) ,

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Snezhnost [94]

Answer:

0.2941 = 29.41% probability that it was manufactured during the first shift.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: Manufactured during the first shift.

Probability of a defective item:

1% of 50%(first shift)

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3% of 20%(third shift).

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P(A) = 0.01*0.5 + 0.02*0.3 + 0.03*0.2 = 0.017

Probability of a defective item being produced on the first shift:

1% of 50%. So

P(A \cap B) = 0.01*0.5 = 0.005

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P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.005}{0.017} = 0.2941

0.2941 = 29.41% probability that it was manufactured during the first shift.

6 0
2 years ago
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Answer:

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