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3 years ago

PLEASE HELP!! THANKS!

Mathematics

1 answer:

kap26 [50]3 years ago

3 0

Answer:

1. 4 $x^{3}$

2. 5 $y^{5}$

Step-by-step explanation:

12÷3=4

15÷3=5

x^5÷ x^2 = x^5-2

y^7÷y^2=y^7-2

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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 veterinarian knows that the supplement glucosamine is beneficial for dogs’ joints. He wants to determine if a supplement with

Alborosie

Answer:

Colour of coat

Step-by-step explanation:

We are told that the veterinarian wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health.

In randomized block design, blocking is the arrangement of experimental units in groups known as blocks which are similar to one another.

Looking at the options given, by blocking on size, age or dog breed, the source of variability which led to the inconclusiveness initially would be controlled which then leads to a greater accuracy in result. Since there can be big, medium and small size of dog: there can be older or younger dogs: there can be different type of dog breeds as well. All these can likely affect the results of the experiment.

Whereas, blocking on colour of coat is not an appropriate variable because it has no effect on the experiment.

4 0

3 years ago

Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.

nalin [4]

Answer:

Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.

Step-by-step explanation:

The answer choices are:

Gus: 2.11 repeats because there are two 1s.
Gus: 2.11 is a repeating decimal because it stops.
Hannah: 2.11 is a rational number because it's a decimal.
Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.

The correct one is:

Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.

8 0

3 years ago

Math math math math help

pentagon [3]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

98. Of the students on the track team, 12 do the high jump. Of those students, 14 also do the long jump. What fraction of the st

Vlada [557]

Answer:

12/14

Step-by-step explanation:

it says 12 do the high jump and 14 do the long jump so it will be 12/4

5 0

3 years ago