All categories

3 years ago

PLEASE HELP FAST!! Giving all my points. And will mark brainliest

Mathematics

2 answers:

Finger [1]3 years ago

4 0

The 1/2 will change all values of f(x) to 1/2 f(x) so the graph of f(x) will shrink vertically by a factor of 1/2.

The third option is the correct one.

nydimaria [60]3 years ago

4 0

f(x) vs (a)(f(x))

if a<0, that is known as a vertical compresion

our 1st 3 option show a vertical compression

since a<0, it will shrink vertically by a factor o 1/2

last option, hmm, range is height or y value

by subtracting 2, you move it in the x direction so no change in range from that

however, vertically compressing it makes the y values smallers so range is different

answer is only the 3rd option, shrink vertically

You might be interested in

Which step can you use to solve the equation m+9=-2? <br> please help !!

nexus9112 [7]

Answer:

Subtract 9 from each side of the equation.

m = – 11

Step-by-step explanation:

m + 9 = – 2

To solve the above equation, we simply subtract 9 from each side of the equation.

This is illustrated below:

m + 9 = – 2

Subtract 9 from each side of the equation

m + 9 – 9 = – 2 – 9

m + 0 = – 11

m = – 11

Therefore, the value of m is – 11

6 0

4 years ago

A random variable X with a probability density function () = {^-x > 0

Sliva [168]

The solutions to the questions are

The probability that X is between 2 and 4 is 0.314
The probability that X exceeds 3 is 0.199
The expected value of X is 2
The variance of X is 2

<h3>Find the probability that X is between 2 and 4</h3>

The probability density function is given as:

f(x)= xe^ -x for x>0

The probability is represented as:

$P(x) = \int\limits^a_b {f(x) \, dx$

So, we have:

$P(2 < x < 4) = \int\limits^4_2 {xe^{-x} \, dx$

Using an integral calculator, we have:

$P(2 < x < 4) =-(x + 1)e^{-x} |\limits^4_2$

Expand the expression

$P(2 < x < 4) =-(4 + 1)e^{-4} +(2 + 1)e^{-2}$

Evaluate the expressions

P(2 < x < 4) =-0.092 +0.406

Evaluate the sum

P(2 < x < 4) = 0.314

Hence, the probability that X is between 2 and 4 is 0.314

<h3>Find the probability that the value of X exceeds 3</h3>

This is represented as:

$P(x > 3) = \int\limits^{\infty}_3 {xe^{-x} \, dx$

Using an integral calculator, we have:

$P(x > 3) =-(x + 1)e^{-x} |\limits^{\infty}_3$

Expand the expression

$P(x > 3) =-(\infty + 1)e^{-\infty}+(3+ 1)e^{-3}$

Evaluate the expressions

P(x > 3) =0 + 0.199

Evaluate the sum

P(x > 3) = 0.199

Hence, the probability that X exceeds 3 is 0.199

<h3>Find the expected value of X</h3>

This is calculated as:

$E(x) = \int\limits^a_b {x * f(x) \, dx$

So, we have:

$E(x) = \int\limits^{\infty}_0 {x * xe^{-x} \, dx$

This gives

$E(x) = \int\limits^{\infty}_0 {x^2e^{-x} \, dx$

Using an integral calculator, we have:

$E(x) = -(x^2+2x+2)e^{-x}|\limits^{\infty}_0$

Expand the expression

$E(x) = -(\infty^2+2(\infty)+2)e^{-\infty} +(0^2+2(0)+2)e^{0}$

Evaluate the expressions

E(x) = 0 + 2

Evaluate

E(x) = 2

Hence, the expected value of X is 2

<h3>Find the Variance of X</h3>

This is calculated as:

V(x) = E(x^2) - (E(x))^2

Where:

$E(x^2) = \int\limits^{\infty}_0 {x^2 * xe^{-x} \, dx$

This gives

$E(x^2) = \int\limits^{\infty}_0 {x^3e^{-x} \, dx$

Using an integral calculator, we have:

$E(x^2) = -(x^3+3x^2 +6x+6)e^{-x}|\limits^{\infty}_0$

Expand the expression

$E(x^2) = -((\infty)^3+3(\infty)^2 +6(\infty)+6)e^{-\infty} +((0)^3+3(0)^2 +6(0)+6)e^{0}$

Evaluate the expressions

E(x^2) = -0 + 6

This gives

E(x^2) = 6

Recall that:

V(x) = E(x^2) - (E(x))^2

So, we have:

V(x) = 6 - 2^2

Evaluate

V(x) = 2

Hence, the variance of X is 2

Read more about probability density function at:

brainly.com/question/15318348

#SPJ1

<u>Complete question</u>

A random variable X with a probability density function f(x)= xe^ -x for x>0\\ 0& else

a. Find the probability that X is between 2 and 4

b. Find the probability that the value of X exceeds 3

c. Find the expected value of X

d. Find the Variance of X

7 0

2 years ago

Write a function whose graph passes through : (-7,0), (2,0), (4,0)<br> The function is f(x)=______

strojnjashka [21]

Answer:

Step-by-step explanation:

f(x) = y = 0

so, f(x) = 0

7 0

3 years ago

a car repair shop charge $80 per hour for labor and $210 for the parts of the car if it's auto parts of the repair for the car w

juin [17]

490-210= 280; 280/80= 3.5 or 3.5 hours

7 0

3 years ago

A can of tuna fish is a cylinder with a height of 1.75 inches and a diameter of 3 inches. If the can is half full, how many cubi

zlopas [31]

Answer: $6.185in^3$

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

$V_{cylinder}=\pi r^2h$

r is the radius of the cylinder and h is the height of the cylinder.

Given the diameter of 3 inches, calculate the radius of the cylinder with:

$r=\frac{d}{2}$ (Where d is the diameter)

$r=\frac{3in}{2}=1.5in$

Knowing the height and the radius, you can calculate the volume of the entire can of tuna:

$V_{can}=\pi (1.5)^2(1.75in)=12.37in^3$

As you want to know the cubic inches of tuna that are in the can (volume of tuna), and you know that the can is half full, then:

$V_{tuna}=\frac{V_{can}}{2}\\\\V_{tuna}=\frac{12.37in^3}{2}\\\\V_{tuna}=6.185in^3$

5 0

3 years ago

Read 2 more answers