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3 years ago

Which question can be answered by solving the inequality 8d>200?

1 answer:

3 0

The correct choice is the last one.

If d is the amount of time Tim walks each day, then the time he walks over an 8 day period would be 8d.

Our inequality says that 8d is greater than 200; this means he walks more than 200 minutes total. This can be solved to find d, the number of minutes he walks each day.

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Valerie has a circular garden. The radius of the garden is 4 feet. She wants to buy edging to outline her circular garden.Which

ss7ja [257]

You'd need to find the distance AROUND the garden, which is also PERIMETER.

To find the perimeter of a circle, you use the following equation:
$2 \pi r$

$2 \pi (4)$ = $8 \pi$

$8 \pi$ = 25.13 ft

I don't know what your answer options are, but chose the option closest to 25.13 ft

4 0

3 years ago

If Juan earns $7 per hour plus $20 per week making picture frames.

kaheart [24]

Not enough information

5 0

3 years ago

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

There exists a linear function f(x) such that f(6) = 8, f(2)=20, and f(a) = 16. What is the value of 2a?

atroni [7]

Answer:

a = 10/3.

Step-by-step explanation:

We write the linear function as follows:

f(x) = mx + b where m is the slope and b is the y-intercept.

f(6) = 6m + b = 8

f(2) = 2m + b = 20 Subtracting these 2 equations:

4m = -12

m = -3.

and -3 * 2 + b = 20 so:

b = 20 + 6 = 26.

So we have the linear function:

f(x) = -3 x + 26

f(a) = 16 = -3 a + 26

-3 a = 16-26

a = -10 * -3 = 10/3.

3 0

3 years ago

If y varies inversely as x<br> and x = 4 when y = 15, find y when x=6

lord [1]

Answer:

y = 10

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition x = 4 when y = 15 , then

15 = $\frac{k}{4}$ ( multiply both sides by 4 )

60 = k

y = $\frac{60}{x}$ ← equation of variation

When x = 6 , then

y = $\frac{60}{6}$ = 10

7 0

3 years ago