If a 4 member comittee is formed from 3 girls and 6 boys in a club how many commitees can be formed ?

Iifthe members if the commitee are chosen at random, find the probability that the comittee consist of .. 2 girls & 2 boys ?1girl&3boys

Answers

Answer 1

Answer: 1. 9! / ( 5! * 4! ) = (6*7*8*9)/(1*2*3*4) = 2*7*9 = 126;

2. a) [(3!/(1!*2!)]*[(6!/(4!*2!)]/126 = 5/14 = 0.35;

b) [(3!/(2!*1!)]*[(6!/(3!*3!)]/126 = 10/21 = 0.47;

Answer 2

Answer:

Answer:

1. 9! / ( 5! * 4! ) = (6*7*8*9)/(1*2*3*4) = 2*7*9 = 126;

2. a) [(3!/(1!*2!)]*[(6!/(4!*2!)]/126 = 5/14 = 0.35;

b) [(3!/(2!*1!)]*[(6!/(3!*3!)]/126 = 10/21 = 0.47;

Step-by-step explanation:

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What is the inverse of f(x)? Show all work for full credit. f(x) = 2/x-6

Answers

Answer:

$f^(-1)(x)=(2)/(x+6), x\ne-6$

Step-by-step explanation:

The explanation is attached below.

Look at this equation k + 31 = 72 Which related equation below will correctly solve for the variable k? Question 1 options: k = 72 + 31 k = 72 - 31 k = 72 · 31 k = 72 ÷ 31

Answers

Answer:

To solve for the variable "k" in the equation "k + 31 = 72," you need to isolate "k" on one side of the equation. Here's how you can do it using friendly words and reasons:

1. Start with the original equation: "k + 31 = 72."

2. To isolate "k," you want to get rid of the "31" on the left side of the equation. You can do this by subtracting 31 from both sides to keep the equation balanced.

3. Subtract 31 from both sides:

"k + 31 - 31 = 72 - 31."

4. Simplify both sides:

"k = 41."

Step-by-step explanation:

So, the correct equation to solve for the variable "k" is: "k = 72 - 31," and this will give you the value of k, which is 41.

HELP PLEASE PLEASE PLEASE!!The function f(x) = 4x – 8 is reflected across the y-axis, resulting in a new function, g(x). Write the EQUATION of g(x). Please show how you got it!!!

Answers

If the function f(x) = 4x – 8 is reflected across the y-axis. Then the reflected function will be g(x) = – 4x – 8.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

It is the image of the line which is located in the opposite direction of a given line.

The function f(x) = 4x – 8 is reflected across the y-axis.

If the function f(x) = 4x – 8 is reflected across the y-axis, then replace x with negative x. Then the reflected function will be

g(x) = – 4x – 8

The graph of the function and reflected function is given below.

More about the function link is given below.

brainly.com/question/5245372

#SPJ5

Not sure but I think g(x)= -4x -8
The minus makes the graph descend and therefore it's on the other site of the y-axis (sorry for my English haha...I'm not a native speaker)

Help on logarithmic equation

Answers

Answer and workings in the attachment below.

PPPPPPPPPPPLLLLLLLLLLZZZZZZZ HELPPPPP I WILL GIVE 50 POINTS

Answers

Hello!

Reading these types of graphs can be difficult, but it displays the following numbers:

27, 30, 31, 43, 45, 49, 51, 58, 62, 64

To find mean, or average, you need to add up all of the numbers and divide by how many there are (10)

This will give you 46.

I hope this helps you and good luck!

Your answer should be 46.

Hope it helps!

A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 125 is selected and is used to estimate . Use z-table. What is the probability that the sample mean will be within +/- 8 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) What is the probability that the sample mean will be within +/- 17 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)

Answers

Following are the calculation to the given points:

Using central limit theorem:

$\to \mu_{\bar{x}}= \mu = 300\n\n\to \sigma_{\bar{x}}=(\sigma)/(√(n))=(70)/(√(125))= 6.261\n\n$

For point a)

Within $\pm 8$ population mean: $\to P(\mu-8<\bar{x}<\mu+8)=P\left ( (\mu-8-\mu)/(6.261)Within [tex]\pm 17$

For point b)

Within $\pm 17$ population mean:

[tex]\to P(\mu-17<\bar{x}<\mu+17)=P\left ( \frac{\mu-17-\mu}{6.261}

Learn more:

brainly.com/question/6096474

Final answer:

To find the probability that the sample mean will be within a certain range, we need to calculate the z-scores and look them up in the z-table.

Explanation:

To find the probability that the sample mean will be within +/- 8 of the population mean, we need to convert this range to z-scores. The z-score formula is calculated by subtracting the population mean from the sample mean and dividing by the standard deviation divided by the square root of the sample size.

For +/- 8, the z-score will be (8 - 0) / (70 / sqrt(125)) = 2.09.

Using the z-table, we can find the probability associated with a z-score of 2.09, which is approximately 0.9828. Therefore, the probability that the sample mean will be within +/- 8 of the population mean is 0.9828.

Similarly, for +/- 17, the z-score will be (17 - 0) / (70 / sqrt(125)) = 4.18. Using the z-table, the probability associated with a z-score of 4.18 is nearly 1.0000. Hence, the probability that the sample mean will be within +/- 17 of the population mean is 1.0000.