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3 years ago

F(x) = 3x What is the inverse of the function below?

Mathematics

1 answer:

guajiro [1.7K]3 years ago

6 0

Answer:

f^-1 (x)=x/3

Step-by-step explanation:

y=3x

x=3y

y=x/3

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Given that x is a hypergeometric random variable with Nequals10, nequals4, and requals6, complete parts a through d. a. Compu

sergey [27]

Answer:

a. 0.114

b. 0.005

c. 0.381

d. 0.00

Step-by-step explanation:

If x follows a hypergeometric distribution, the probability that x is equal to k is calculated as:

$P(x=k)=\frac{(rCk)*((N-r)C(n-k))}{NCn}$

Where k≤r and n-k≤N-r, Additionally:

$aCb=\frac{a!}{b!(a-b)!}$

So, replacing N by 10, n by 4 and r by 6, we get:

$P(x=k)=\frac{6Ck*((10-6)C(4-k))}{10C4}=\frac{6Ck*(4C(4-k))}{10C4}$

Then, the probability that x is equal to 1, P(x=1) is:

$P(x=1)=\frac{6C1*4C3}{10C4}=0.114$

The probability that x is equal to 0, P(x=0) is:

$P(x=0)=\frac{6C0*4C4}{10C4}=0.005$

The probability that x is equal to 3, P(x=3) is:

$P(x=3)=\frac{6C3*4C1}{10C4}=0.381$

Finally, in this case, x can take values from 0 to 4, so the probability that x is greater or equals to 5 is zero.

6 0

3 years ago

Please Help I Don't Understand!

Nutka1998 [239]

The value of x is 8 from the diagram given.

<h3>How do you calculate the sides of similar triangles?</h3>

The corresponding sides of a similar triangle are said to be in proportion if and only if the corresponding angle are also equal.

To calculate the side of line x (|x|), we have to determine the ratios of the corresponding sides as:

$\mathbf{\dfrac{BC}{DC} = \dfrac{AC}{EC}}$

$\mathbf{\dfrac{x}{10} = \dfrac{12}{15}}$

x = 120/15

x = 8

Therefore, we can conclude that the value of x is 8.

Learn more about calculating similar triangles here:
brainly.com/question/11899908

#SPJ1

4 0

2 years ago

HELP I need this for a quiz the screenshot is there

Setler79 [48]

Answer:

The value is -30

Step-by-step explanation:

Plug -6 in for x in the equation:

3sqrt-6(-6)+4(-6)

-6-4*6

-6-24

-30

4 0

3 years ago

A line drawn from one side of a circular plate to the other, through the center of the plate, measures 25 centimeters.

jarptica [38.1K]

Answer:

39 centimeters

Step-by-step explanation:

to find the area of a circle you first find the radius which is the disctance from the edge of the plate to the center. you then multiply it by pi to find the total area.

3 0

3 years ago

Read 2 more answers

Find the area of the parallelogram WXZY shown below. 12 cm, p 10 cm

Kitty [74]

Answer:

Step-by-step explanation:

To find the area of a parallelogram you simply have to multiply one side by the other side. If the parallelogram was a 12 by 10 then the area would be 120. The area for a parallelogram is Base x Height. Hope this helps in some way :)

6 0

3 years ago