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Len [333]
3 years ago
5

Find the missing dimension of each prism: volume= 56 1/4 ft | width= 3 3/4 ft | length= 7 1/2 ft

Mathematics
1 answer:
Juliette [100K]3 years ago
4 0
Prism volume = width*length*height
56 1/4 = 3 3/4 * 7 1/2 * h

56.25=3.75*7.5*h

h=(56.25)/(3.75*7.5)=2

So that the missing dimension (height) is 2 ft

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g If the economy improves, a certain stock stock will have a return of 23.4 percent. If the economy declines, the stock will hav
dusya [7]

Answer:

E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%

Now we can find the second central moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965

And the variance is given by:

Var(X) = E(X^2) - [E(X)]^2

And replacing we got:

Var(X) = 413.5965 -(11.759)^2 =275.5105

And finally the deviation would be:

Sd(X) = \sqrt{275.5105}= 16.599 \%

Step-by-step explanation:

We can define the random variable of interest X as the return from a stock and we know the following conditions:

X_1 = 23.4 , P(X_1) =0.67 represent the result if the economy improves

X_2 = -11.9 , P(X_1) =0.33 represent the result if we have a recession

We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And replacing the data given we got:

E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%

Now we can find the second central moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965

And the variance is given by:

Var(X) = E(X^2) - [E(X)]^2

And replacing we got:

Var(X) = 413.5965 -(11.759)^2 =275.5105

And finally the deviation would be:

Sd(X) = \sqrt{275.5105}= 16.599 \%

7 0
2 years ago
How to Solve the problem 7/8 x 4 =
musickatia [10]

Answer:

The Answer is gonna be 7/8 x 4 =3.5

This is the right Answer :3

I hope you are having a great day ❤️❤️❤️

5 0
3 years ago
Read 2 more answers
Triangle abc has the angle mesausres shown. Which statement is true about the angles?
Umnica [9.8K]

Answer:

m∠A = 20°

Step-by-step explanation:

Given that the sum of the angles of any triangle is 180°, adding the expressions of each angle and setting them equal to 180° will give the value of 'x' and allow you to evaluate the angles.  

2x + 5x + 11x = 180

18x = 180

18x/18 = 180/18 or x = 10

m∠A = 2x or 2(10) = 20°

m∠B = 5x or 5(10) = 50°

m∠C = 11x or 11(10) = 110°

Out of the choices given, the only one that is true is that m∠A = 20°.

8 0
2 years ago
A warehouse charges its customers $4 per day for every 10 cubic feet of space used for storage. The figure records the storage u
ikadub [295]

Figure 1 is the original figure, while figure 2 is modified, so that a triangle and a rectangle can be easily observed.

The area of triangle and rectangle represents the total number of cubic feet of storage multiply by the number of days of storage usage.

Hence

Total Area = Area of triangle + Area of rectangle

= 30 x 10,000 + ½ 30 x (30,000 – 10,000)

= 300,000 + 300,000

= 600,000

As 10 cubic feet of storage cost $5 for a day, so total amount company have to pay

<span>= (5 x 600,000) / 10 = $300,000</span>

8 0
3 years ago
Lily loves 2.5 miles farther from school than Dante Dante lives 16.25 miles from school how many miles from school does Lily liv
mixas84 [53]

Answer:

18.75

Step-by-step explanation:

Just add 2.5 and 16.25 :)

6 0
3 years ago
Read 2 more answers
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