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EleoNora [17]
2 years ago
10

A construction company plans to invest in a building project. There is a 30% chance that the company will lose $30,000, a 40% ch

ance of a break even, and a 30% chance of a $60,000 profit. Based ONLY on this information, what should the company do?
The expected value is $9,000.00, so the company should proceed with the project.
B) The expected value is $18,000.00, so the company should proceed with the project.
C) The expected value is −$9,000.00, so the company should not proceed with the project.
D) The expected value is −$18,000.00, so the company should not proceed with the project.
Mathematics
1 answer:
Gnom [1K]2 years ago
4 0

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

30% chance that the company will lose $30000.

40% chance of a break even that there is no loss and no profit.

30% chance that the company will profit $ 60000.

As we know the formula for "Expectation":

So, Expected value will be

\frac{30}{100}\times (-30000)+\frac{40}{100}\times 0+\frac{30}{100}\times 60000\\\\=03\times (-30000)+0.4\times 0+0.3\times 60000\\\\=-9000+18000\\\\=\$9000

Expected value is $9000. So, the company should proceed with the project.

Hence, Option 'A' is correct.

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A horse ran 800 m in 40 seconds 1200 m in 60 seconds in 480 m and 24 seconds is this a proportional relationship if so what is t
Naddik [55]

Answer:

Yes this is a proportional relationship.

Equation is;

D=20T

Step-by-step explanation:

A horse run;

800m in 40 seconds

1200m in 60 seconds

and

480m inn 24 seconds

800m ÷ 40s = 1200m ÷ 60s = 480m ÷ 24s = 20

The equation here is Distance(D) = 20 × Time(T)

D=20T

It implies that the distance of the horse is directly proportional to the time it takes to run.

8 0
3 years ago
Solve this inequality : 5x+7x<36
Lera25 [3.4K]

Answer:

x < 3

Step-by-step explanation:

5x+7x<36

12x<36

Divide both sides by 12

x<3

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3 years ago
What is the Square root of 18?<br><br><br><br> ​
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Step-by-step explanation:

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3 years ago
Read 2 more answers
How do i find the slope
Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show <u>rise</u>, over the difference in the x points to show <u>run</u>.

Now, to find the slope we insert our values, starting with our second y point:

<u>m=</u>\frac{2-y_{1 } }{x_{2} -x_{1} }<u></u>

Now insert our first y point:

<u>m=</u>\frac{2-4 }{x_{2} -x_{1} }<u></u>

Now we insert our second x point:

<u>m=</u>\frac{2-4 }{-3 -x_{1} }<u></u>

And finally our first x point:

<u>m=</u>\frac{2-4 }{-3 -3 }

Now, we solve:

<u>m=</u>\frac{-2 }{-6}

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

<u>m=</u>\frac{2 }{6}

Now, we simplify our fraction by dividing the top and bottom by 2:

<u>m=</u>\frac{1}{3}<u></u>

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y=\frac{1}{3}x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Insert our values:

<u>m=</u>\frac{4-1}{2-(-4)}<u></u>

Get rid of the double negative:

<u>m=</u>\frac{4-1}{2+4}<u></u>

Solve:

<u>m=</u>\frac{3}{6}<u></u>

Simplify:

<u>m=</u>\frac{1}{2}

Now that we know our slope, let's plug it in to our slope intercept form equation.

y=\frac{1}{2}x+3

I hope this was helpful! Keep learning! :D

5 0
3 years ago
Marking brainliest..
nikitadnepr [17]
B. 700

1000 out of 700 is the same as 10 out of 7 but simplified
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