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Sergio [31]
3 years ago
12

The rabbit population in a certain area is 200​% of last​ year's population. There are 900 rabbits this year. How many were ther

e last​ year?
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

There would be 450 rabbits last year.

Since 900 is double 450, 200% of 450 is 900. (450 would be 100%, so you would double it).

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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
3 years ago
1 point
BARSIC [14]
The answer to this Is 38.4
7 0
3 years ago
Write an equation in slope-intercept form for the line parallel to y=3x-2 that passes through the point (5,-2)
Aneli [31]

Answer:

y = 3x - 17

Step-by-step explanation:

Parallel lines have the same slope.

The slope of the given line, y = 3x - 2 is 3.

The equation we are looking for is of the form

y = mx + b

Since we know the slope, m, is 3, we have

y = 3x + b

To find the value of b, we substitute x and y with the values from the given point and solve for b.

-2 = 3(5) + b

b = -17

The equation is

y = 3x - 17

6 0
3 years ago
Hester sells televisions. She earns a fixed amount for each television and an additional $15 if the buyer gets an extended warra
beks73 [17]

Answer: \$ 70

Step-by-step explanation:

Given

Hester get a fixed amount and an additional $15 for an extended warranty

Suppose x is the amount of fixed amount

for 15 television sale, the price is $1275

Thus, we can write

\Rightarrow 15(x+15)=1275\\\Rightarrow x+15=85\\\Rightarrow x=\$70

Therefore, the fixed amount of television is \$70

6 0
3 years ago
Evaluate 3(c + d) if c = 8 and d = -5
Sloan [31]
Substitution time :D

c = 8

d = -5


All you have to do is replace the variables(letters) with the numbers!


3(8 + (-5))

Do parentheses first! And remember that adding a negative is the same as subtracting :)

3(3) = 9
4 0
3 years ago
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