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Serga [27]
2 years ago
3

Please explain the answer to this question and I'll mark Brainliest! A private investigator figures that he has a one in ten cha

nce of recovering stolen property for his client. The expenses for the investigation will cost him $10,000, but the recovery fee is $80,000. Based ONLY on this information, should the private detective take the job?
A) The expected value is $1,000.00, so the detective should take the job.
B) The expected value is $2,000.00, so the detective should take the job.
C) The expected value is −$2,000.00, so the detective should not take the job.
D) The expected value is −$8,000.00, so the detective should not take the job.
Mathematics
1 answer:
Alenkinab [10]2 years ago
6 0

Answer:

A

Step-by-step explanation:

Since the expected value of this job is $1,000, we know that the correct answer is A and the detective should take the job.

I hope this helps!

You might be interested in
Toyota advertises that their Toyota Highlander Hybrid provide 28 MPG. To test this, an experiment involving a sample of 20 Toyot
klemol [59]

Answer:

We accept the null hypothesis.    

Step-by-step explanation:

We are given the following in the question:

Sample mean, \bar{x} = 28.8 miles per gallon

Sample size, n = 120

Alpha, α = 0.01

Sample standard deviation, σ = 6.89 miles per gallon

First, we design the null and the alternate hypothesis

H_{0}: \mu = 28\text{ miles per gallon.}\\H_A: \mu \neq 28\text{ miles per gallon.}

We use Two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{28.8 - 28}{\frac{6.89}{\sqrt{19}} } = 0.5061

Now, t_{critical} \text{ at 0.01 level of significance, 19 degree of freedom } =\pm 2.8609 Since,            

-2.609 < t_{stat} < 2.8609

We fail to reject the null hypothesis and accept it.

We accept the null hypothesis and the population mean MPG of Toyota Highlander Hybrid vehicles is equal to 28 miles per gallon.

5 0
2 years ago
There are 10 red counters and x blue counters in a bag. 2 counters are removed fron the bag. the probability that both counters
frutty [35]

Step-by-step explanation:

10 red 6 blue so 16 altogether.

apologies if I'm wrong

8 0
2 years ago
Sonam sold two cars for nu. 55055 each. one has gained him 16% while the other made him loss 16%. how much does he loss or gain
statuscvo [17]

Answer: Total Loss or Gain = $0

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

Gain:   $55,055 (1 + 0.16)

        = $55,055 (1.16)

        = $63,863.80

Profit = $8,808.80

Loss:   $55,055 (1 - 0.16)

        = $55,055 (0.84)

        = $46,246.20

Loss = -$8,808.80

Profit + Loss

= $8,808.80 - $8,808.80

= 0

5 0
2 years ago
. A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1 ft/sec, and the bottom of the l
Vlada [557]

Answer:

0.75 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a 25-ft ladder is leaning against a wall. We can see from the attachment that ladder forms a right triangle with respect to wall and ground.

So we can set a Pythagoras theorem as:

x^2+y^2=25^2

x^2+y^2=625

Now, we need to find the derivative of above equation with respect to time.

2x\cdot \frac{dx}{dt}+2y\cdot \frac{dy}{dt}=0

Since the adder is moving toward the wall at a rate of 1 ft/sec for 5 sec, so x after 5 seconds would be: 20-1(5)=20-5=15

Let us solve for y using Pythagoras theorem.

y^2+15^2=25^2

y^2+225=625

y^2=625-225

y^2=400

Take positive square root:

\sqrt{y^2}=\sqrt{400}

y=20

Upon substituting our given values in derivative equation, we will get:

2x\cdot \frac{dx}{dt}+2y\cdot \frac{dy}{dt}=0

2(15)\cdot(-1)+2(20)\cdot \frac{dy}{dt}=0

-30+40\cdot \frac{dy}{dt}=0

40\cdot \frac{dy}{dt}=30

\frac{dy}{dt}=\frac{30}{40}

\frac{dy}{dt}=0.75

Therefore, the ladder is moving up at a rate of 0.75 feet per second.

3 0
2 years ago
Mr. Chin's hotel bill is $143. He leaves 12% of the hotel bill as a tip for the housekeeping service. What is the total amount M
Vlada [557]
First, begin by converting the tip of 12% to a decimal.

.12

Now, multiply that by the total bill.

.12*143=17.16

We now know the numerical value of the tip.

Add the tip to the total bill and get your answer.

143+17.16=160.16
4 0
2 years ago
Read 2 more answers
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