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Tema [17]
2 years ago
9

What is the expected value of an original Investment of $3,000 that has a 10% chance of ending up with a value of $2,000, an 80%

chance of ending up with a value of $3,500, and a 10% chance of ending up with a value of $4,000?
A $6,000

B. $3,500

C $3,400

D. $3,250

E $3,000
Mathematics
1 answer:
Sloan [31]2 years ago
3 0

Answer:

Option C.

Step-by-step explanation:

The original value of  Investment = $3,000

It has a 10% chance of ending up with a value of $2,000.

Chances of loss of $1000 = 0.1

It has a 80% chance of ending up with a value of $3,500.

Chances of profit of $500 = 0.8

It has a 10% chance of ending up with a value of $4,000.

Chances of profit of $1000 = 0.1

Expected change in the value of investment is

Change=(-\$1000)(0.1)+(\$500)(0.8)+(\$1000)(0.1)

Change=-\$100+\$400+\$100

Change=\$400

The expected change in the value of the investment is $400.

The expected value of an original Investment of $3,000 is

\$3000+\$400=\$3400

Therefore, the correct option is C.

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Mama L [17]

A quadratic equation has either two different real roots, one real root, or two conjugate complex roots (this is the case when the discriminant is negative, i.e. when you have no real roots).

Two conjugate complex roots have the same real part and opposite imaginary parts. So, the solutions to Amina's equation will be in this form:

a+bi,\ \ a-bi

For some a,b\in\mathbb{R},\ b\neq 0

6 0
2 years ago
The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what is its wavelength?
QveST [7]

Answer:

Wave length = speed / frequency

Wave length = 3x10^8 / 4.11x10^4

Wave length = 7.299x10^3nm

Step-by-step explanation:

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2 years ago
isco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the presence
maks197457 [2]

Answer:

0.8894 is the probability that the test result comes back negative if the disease is present .

Step-by-step explanation:

We are given the following in the question:

P(Disco Fever) = P( Disease) =

P(D) = \dfrac{1}{2}\times 1\% = 0.5 \times 0.01 = 0.005

Thus, we can write:

P(No  Disease) =

P(ND) =1 - P(D)= 0.995

P(Test Positive given the presence of the disease) = 0.99

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P( false-positive) = 4%

P( TP | ND) = 0.04

We have to evaluate the probability that the test result comes back negative if the disease is present, that is

P(test result comes back negative if the disease is present)

By Bayes's theorem, we can write:

P(ND|TP) = \dfrac{P(ND)P(TP|ND)}{P(ND)P(TP|ND) + P(D)P(TP|D)}\\\\P(ND|TP) = \dfrac{0.995(0.04)}{0.995(0.04) + 0.005(0.99)} = 0.8894

0.8894 is the probability that the test result comes back negative if the disease is present .

5 0
1 year ago
Javier is comparing costs of two cars. Car A costs $130 per month for insurance and $0.10 per mile to run. Car B costs $108 per
kvv77 [185]

Answer:

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Step-by-step explanation:


8 0
2 years ago
Read 2 more answers
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
LiRa [457]

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

8 0
2 years ago
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