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zlopas [31]
2 years ago
13

Rework problem 4 from section 3.2 of your text, involving sets E and F. Suppose for this problem that Pr[E]=1/12, Pr[F]=1/12, an

d Pr[E∩F′]=0/1
1) What is Pr[E|F]?
2) What is Pr[F|E]?

Mathematics
1 answer:
Korolek [52]2 years ago
3 0
The Venn Diagram that represents the problem is shown below

P(E|F) and P(F|E) are the conditional probability.

P(E|F) is given by P(E∩F) ÷ P(F) = ¹/₂ ÷ ¹/₂ = 1
P(F|E) is given by P(F∩E) ÷ P(E) = ¹/₂ ÷ ¹/₂ = 1

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1. Lisa and Tomas Lopez are buying a new minivan that has a base
Dimas [21]

The question is incomplete:

Lisa and Tomas Lopez are buying a new minivan that has a base price of $22,510.the options total $8,062 and destination charge is $770. The dealer's cost is estimated to be 91% of the base price and 88% of the options.

-What is the sticker price of the vehicle?

-Find the dealer's percent of the base price.

-Find the dealer's percent of the options price.

-What is the estimated dealer's cost?

Answer:

-What is the sticker price of the vehicle? $31,342

-Find the dealer's percent of the base price: $20,484

-Find the dealer's percent of the options price: $7,094

-What is the estimated dealer's cost?  $28,348

Step-by-step explanation:

-The sticker price is the result of adding the base price plus the options plus the destination charge.

Sticker price= base price + options + destination charge

Sticker price= $22,510+$8,062+$770

Sticker price= $31,342

-Dealer's percent of the base price: It is  91% of the base price:

$22,510*91%= $20,484

-Dealer's percent of the options price: It is  88% of the options:

$8,062*88%= $7,094

-Estimated dealer's cost= Percent of base price+percent of options price+destination charge

Estimated dealer's cost= $20,484+$7,094+$770

Estimated dealer's cost=$28,348

4 0
2 years ago
Yoki is running a 10-mile race. She runs at a steady speed and then slows down, stops to get a drink of water, and then runs fas
yawa3891 [41]

This is late, but for anyone searching the answer up in the future, the answer on Edg.enuity is the last one -  where the graph starts out as a horizontal line, then decreases and touches the x-axis, then increases again.

Good luck on your assignment !!

4 0
2 years ago
Read 2 more answers
Lian invested an amount of money at an interest rate of 5.2% per year.
Zigmanuir [339]

Answer:

$6500

Step-by-step explanation:

Let the amount of money invested by Lian be $x

Interest rate = 5.2% per year

interest earned in first year will be  5.2% of  amount of money invested by Lian .

(note: since in first year there will be no interest accrued on interest so interest for first year is simple interest )

interest earned in one year if money invested by Lian is $x

= 5.2% of $x  (1)

But , it is given in one year  she received interest of 338 dollars

so, 338 dollars must be equal to 5.2% of $x

equating $338 with  5.2% of $x  , we have

5.2% of x  = 338

=> (5.2/100) * x = 338

=>5.2 x = 338*100

=> x = 33800/5.2 = 6500.

Thus,  amount of money Lian invested is $6500.

7 0
1 year ago
A group of 12 people want to go to a concert. They can travel in a small car that takes one driver and one passenger and two car
trapecia [35]

Answer: There are 60 ways that they can travel to the concert.

Step-by-step explanation:

Since we have given that

Number of people want to go to a concert = 12

Number of cars = 3

Number of drivers in the group = 5

So, using the "Fundamental theorem of counting":

We get that

5\times 4\times 3\\\\=60

Hence, there are 60 ways that they can travel to the concert.

7 0
2 years ago
The height of a baseball thrown from the catcher to first base is modeled by the function h(t) = –0.09t2 + 0.72t + 6, where h is
Black_prince [1.1K]

The height of a baseball thrown from the catcher to first base is modeled by the function h(t) = -0.09t^2 + 0.72t + 6, where h is the height of the ball measured in feet and t is the time since being thrown, measured in seconds

To find out height of the ball at 10 seconds, we plug in 10 for t

h(t) = -0.09t^2 + 0.72t + 6

h(10) = -0.09(10)^2 + 0.72(10) + 6

h(10)=4.2 feet

the height of the ball at 10 seconds= 4.2 feet

3 0
2 years ago
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