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3 years ago

WILL MARK BRAINLYIST

Mathematics

1 answer:

rodikova [14]3 years ago

7 0

Answer:

D = 45 and C = 26

Step-by-step explanation:

The bigger triangle has a 90 degree corner add that to 64 and you will get 164 (all of the triangles angles have to add to 180) from 180 subtract 164 and you get 26 which is C's answer

For D just divide 90 by 2 (90/2)=45

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Find the inverse function of h(x) = -2/3x + 6.

nalin [4]

Answer:

$h^{-1}(x)=-\frac{3}{2}x+9$

Step-by-step explanation:

To find inverse of a function, follow the steps below:

1. replace h(x) with y

2. Interchange x and y

3. Solve for the new y

4. Replace y to $h^{-1}(x)$ (this is the inverse function)

Step 1: y = -2/3x+6

Step 2: x = -2/3y+6

Step 3:

$x=-\frac{2}{3}y+6\\\frac{2}{3}y=-x+6\\y=\frac{-x}{\frac{2}{3}}+\frac{6}{\frac{2}{3}}\\y=-\frac{3}{2}x+9$

Step 4:

$y=-\frac{3}{2}x+9\\h^{-1}(x)=-\frac{3}{2}x+9$

This is the inverse function.

3 0

3 years ago

Read 2 more answers

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

3 years ago

Calculate (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to save the money at th

Genrish500 [490]

A) The total installment price is ($28/mo)*(24 mo) = $672.00

b) The carrying charges are $672.00 -500.00 = $172.00

c) The number of months of saving required is 500/28 ≈ 18.

3 0

3 years ago

Read 2 more answers

Lizzy has a total of x dollars in her checking account. She makes a deposit of b dollars cash and

Natalka [10]

Answer:

x+b+2 * c - d

I believe that's the expression

Step-by-step explanation:

5 0

3 years ago

Washington Construction built 13 ranch houses for $117,000 each. From the sale of these houses, Washington received $2,100,000.

strojnjashka [21]

Answer:

A.) 579000

B.) 144750

Step-by-step explanation:

13 houses times 117,00 (The price to build each one) eguals 1521000

2100000 minus 1521000 equals 579000 of profit

4 people so you divide the profit by 4 to get 144750

6 0

3 years ago