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3 years ago

PLSS HELPthe question is in the picture

Mathematics

1 answer:

Leni [432]3 years ago

8 0

Answer:

I think it's -4/5

Step-by-step explanation:

3 + -7 = -4

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-4/5

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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

A set of twins, Andrea and Courtney, are initially 10 years old. While Courtney remains on Earth, Andrea rides on a spaceship th

SVETLANKA909090 [29]

The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.

<h3>How can Andrea's new age be calculated?</h3>

The time dilation using the Lorentz transformation formula is presented as follows;

$t' = \frac{t}{ \sqrt{1 - \frac{ {v}^{2} }{ {c}^{2} } } }$

From the question, we have;

The spaceship's speed, <em>v</em> = 0.6•c

∆t = Rest frame, Courtney's time, change = 10 years

Therefore;

$\delta t' =\delta t \times \sqrt{1 - \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8$

The time that elapses as measured by Andrea = 8 years

Andrea's age, <em>A</em>, at the end of the trip is therefore;

A = 10 years + 8 years = 18 years

Learn more about the Lorentz transformation formula here:

brainly.com/question/15544452

#SPJ1

3 0

2 years ago

Can you please help me ??

forsale [732]

Answer:

a is the answer

Step-by-step explanation:

7 0

2 years ago

Find the mean of the data set: {11, 14, 11, 5, 17, 28, 3). Round to the nearest tenth.

Nuetrik [128]

Answer:

12.7

Step-by-step explanation:

Mean is total/the amount of numbers

Total: 11+14+11+5+17+28+3=89

Amount: 7

89/7=12.7142857

6 0

3 years ago

Read 2 more answers

Question one

Stolb23 [73]

Hello

So I believe that the perimeter is 158 u multiply 158 by 2 which is 316 and divided by 1/2 which is 158 so 158 is ur answer

Hope it helped!

5 0

3 years ago

PLSS HELPthe question is in the picture​

PLSS HELPthe question is in the picture