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kvv77 [185]
3 years ago
5

There is a 40% chance that you will loose $25,000 if you invest in a company. But there is a 25% chance that you will break even

and a 35% chance that you will make $40,000. What is the epected value of the investment?
Mathematics
1 answer:
kenny6666 [7]3 years ago
6 0
E[x] = \sum{p_i*x_i}
=0.4(-25000)+0.25*0+0.35(40000)
=-10000+0+14000
=+4000
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alekssr [168]

Answer:

12

Step-by-step explanation:

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6 0
3 years ago
Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2, point, 2 kilograms of yarn and each sca
sp2606 [1]

Answer:

Elliot will make 4 hats and 16 scarves

Step-by-step explanation:

Let x be the number of hats and y be the number of scarves Elliot will make.

Elliott wants to make a total of 20 items, then

x + y = 20

Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then

0.1y = 2(0.2x)

Thus,

0.1y = 0.4x

y = 4x

Substitute it into the first equation:

x + 4x = 20

5x = 20

x = 4

y = 20 - 4

y = 16

Hence, Elliot will make 4 hats and 16 scarves

4 0
3 years ago
A person who is 68in tall casts a shadow that is 54in long. At the same moment, a tree casts a shadow that is 18ft long. What is
34kurt

Answer:

<u>22.67 ft</u> is the height of tree.

Step-by-step explanation:

Given:

Height of a person is 68 in and casts a shadow that is 54 in long.

At the same point, a tree casts a shadow that is 18 ft long.

Now, to find the height of tree.

Let the height of tree be x.

If height of a person is 68 in he casts a shadow of 54 in.

So, 68 in is equivalent to 54 in.

Thus, x is equivalent to 18 ft.

Now, to get the height of tree by using cross multiplication method:

\frac{68}{54} =\frac{x}{18}

<em>By cross multiplying we get:</em>

<em />1224=54x<em />

<em>Dividing both sides by 54 we get:</em>

22.67=x

x=22.67\ ft.

Therefore, the height of the tree is 22.67 ft.

6 0
4 years ago
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erastovalidia [21]

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1000

Step-by-step explanation:

pls trust me

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3 0
3 years ago
Suppose the time to process a loan application follows a uniform distribution over the range of 8 to 13 days. What is the probab
Arlecino [84]

Answer: 0.2

Step-by-step explanation:

We know that , the probability density function for uniform distribution is given buy :-

f(x)=\dfrac{1}{b-a}, where x is uniformly distributed in interval [a,b].

Given : The time to process a loan application follows a uniform distribution over the range of 8 to 13 days.

Let x denotes the time to process a loan application.

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Now , the probability that a randomly selected loan application takes longer than 12 days to process will be :-

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Hence, the probability that a randomly selected loan application takes longer than 12 days to process = 0.2

8 0
3 years ago
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