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3 years ago

Find the quotient of 90 over -10

Mathematics

2 answers:

OLEGan [10]3 years ago

5 0

Hi! The answer is -9 because 90/-10 = -9
I hope this helps you, Goodluck! :)

vodka [1.7K]3 years ago

3 0

90/-10

= 9/-1

= -9

So, -9 is the quotient.

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Let X be a continuous random variable with density functionf(x)={1−|x|0 for −1

BlackZzzverrR [31]

Answer:

$f_Y (y) =\frac{d}{dy} = 2 \frac{1}{2 |\sqrt{y}|} -1 = \frac{1}{|\sqrt{y}|} -1,0 \leq Y\leq 1$

Step-by-step explanation:

For this case we want to find the density function for $Y=X^2$

And we have the following density function for the random variable X:

$f(X) = 1- |X|,-1 \leq X \leq 1$

So we can do this replacing $Y=X^2$

$F_Y (Y \leq y) = P(X^2 \leq y)$

If we apply square root on both sides we got:

$P(-\sqrt{y} \leq X \leq \sqrt{y}) = \int_{-\sqrt{y}}^0 1+t dt +\int_{0}^{\sqrt{y}} 1-t dt$

And if we integrate we got this:

$F_Y (y) = [t+ \frac{t^2}{2}] \Big|_{-\sqrt{y}}^0+ [t -\frac{t^2}{2}] \Big|_{0}^{\sqrt{y}}$

And replacing we got:

$F_Y (y) = [0 -(-\sqrt{y} +\frac{y}{2})] + [\sqrt{y} -\frac{y}{2}]$

$F_Y (y) = 2 |\sqrt{y}| -y$

And if we want to find the density function we just need to derivate the pdf like this:

$f_Y (y) =\frac{d}{dy} = 2 \frac{1}{2 |\sqrt{y}|} -1 = \frac{1}{|\sqrt{y}|} -1,0 \leq Y\leq 1$

3 0

4 years ago

3. Simplify the following. Leave your answer in index form.

Andre45 [30]

Answer:

a) 21,952

b) 3,375

c) 36

Step-by-step explanation:

a) 7 X 7 X 7 X 4 X 4 X 4

= 7cube X 4cube

= 343 X 64

= 21,952

b) 5 X 3 X 5 X 3 X 5 X 3( group it)

5 X 5 X 5 X 3 X 3 X 3

= 5cube X 3cube

= 125 X 27

= 3,375

c) 3 X 3 X 2 X 2

= 3square X 2square

= 9 X 4

= 36

3 0

3 years ago

Solve 2(x – 11)2 = 128.

Andrew [12]

Answer:

Step-by-step explanation:

Multiply the numbers 2 ( x - 11 ) * 2 = 128

4 ( x - 11 ) = 128

Distribute 4 ( x - 11 ) = 128

4x - 44 = 128

Add 44 to both sides 4x - 44 = 128

4x - 44 + 44 = 128 + 44

Simplify - Add the numbers

4x - 44 + 44 = 128 + 44

4x = 128 + 44

- Add the numbers

4x = 128 + 44

4x = 172

Divide both sides by the same factor 4x = 172

4x/4 = 172/4

Simplify

- Cancel terms that are in both the numerator and denominator

4x/4 = 172/4

x = 172/4

-Divide the numbers

x = 172/4

x = 43

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2 years ago

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A young female lion was brought into the wildlife zoo weighing 53.5 pounds. After two years, she weighed 5.5 times

Lera25 [3.4K]

Answer:

324

Step-by-step explanation:

This is because when rounding you multiply 55 by 6 that is equal to 330 which is near 324. However if you want the answer spot on it would be 294

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3 years ago

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What is the simple definition of realnumbers

erastova [34]

Answer:

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line (or alternatively, a quantity that can be represented as an infinite decimal expansion).

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3 years ago

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