Ask question

Ask question

All categories

3 years ago

6

In how many ways can a committee consisting of 4 faculty members and 5 students be formed if there are 11 faculty members and 15

students eligible to serve on the committee?

1 answer:

Nina [5.8K]3 years ago

4 0

11C4 * 15C5 = $\frac{11!}{4!7!} * \frac{15!}{5!10!}$ = the answer.
you can calculate that

You might be interested in

Daniel earns money mowing lawns. He charges $4.50 per lawn. How many lines must he mow to earn $45?

san4es73 [151]

10 is the answer to this problem

8 0

3 years ago

Read 2 more answers

AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle

Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1339.9}{40} = 33.5$

$S.D = 11$ (given)

n = 40

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)$

6 0

3 years ago

Find the difference 98.54-11.23=

Blababa [14]

Answer:

87.31

Step-by-step explanation:

STAY SAVAGE

5 0

3 years ago

The tangent of an angle is 3.4. what is the measure of the angle to the nearest tenth?

Amiraneli [1.4K]

To answer this question, you first need to know what SohCahToa is.

S- opposite over hypotenuse

C- adjacent over hypotenuse

T- opposite over adjacent

In this situation, they have made it easier for you as they have given you the quotient of the opposite and adjacent sides (3.4) . Now in order to find an angle, you take the inverse of your expression. So instead of just Tan, you would plug in Tan^-1. So plug it in:

Tan^-1 (3.4)

Answer is 73.6 degrees.

3 0

3 years ago

What is the radius of the circle ? (X-3^2+(y-4)^2=49

vodomira [7]

Answer:

7 units

Step-by-step explanation:

The formula for a circle is: $(x-x_1)^2+(y-y_1)^2=r^2$ , where (x_1, y_1) is the center of the circle and r is the radius.

Right now, we see that r^2 = 49, so to find r, we square root 49 and get 7.

Thus, the answer is 7 units.

Hope this helps!

5 0

3 years ago