How many ways are there to select a committee to develop a discrete mathematics course at a school if the committee is to consist of 3 faculty members from the mathematics department and 4 from the computer science department, if there are 9 faculty members of the math department and 11 of the CS department?

Answers

Answer 1

Answer:

Answer:

There are 27,720 ways to select the committee

Step-by-step explanation:

First, it is necessary to know how many ways are there to select 3 members, if there are 9 members of the mathematics department. This can be found using the following equation:

$nCk=(n!)/(k!(n-k)!)$

Where nCk gives as the number of ways in which we can select k elements from a group of n elements. So, replacing n by 9 and k by 3 members, we get:

$9C3=(9!)/(3!(9-3)!)=84$

So, there are 84 ways to select 3 members from 9 members of the mathematics department.

At the same way, we can calculate that there are 330 ways to select 4 members from the 11 that belong to the Computer science department as:

$11C4=(11!)/(4!(11-4)!)=330$

Finally the total number of ways in which we can form a committee with 3 faculty members from mathematics and 4 from the computer science department is calculated as:

9C3 * 11C4 = 84 * 330 = 27,720

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A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4500. Write and solve an absolute value inequality to determine the range of salaries at this company.|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.

|x − 37500| ≥ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.

Answers

In this problem, the mean salary is equal to $37,500 while the maximum salary is $4500 more than the mean and the mnimum salary is $4500 less than the mean salary. This means the equation that represents the salaries is |x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

Answer:

its A

Step-by-step explanation:

Determine the domain of the function.

Answers

$\left\{\begin{array}{ccc}x+4\geq0&(1)\n(x+2)(x-5)\neq0&(2)\end{array}\right\n\n(1)\ x+4\geq0\ \ \ |-4\nx\geq-4\to x\in\left\ \textless \ -4;\ \infty\right)\n\n(2)\ (x+2)(x-5)\neq0\iff x+2\neq0\ \wedge\ x-5\neq0\n\nx\neq-2\ \wedge\ x\neq5\n\n\text{The domain:}\n\nx\geq-4\ \wedge\ x\neq-2\ \wedge\ x\neq5\n\nx\in\left\ \textless \ -4;\ -2\right)\ \cup\ (-2;\ 5)\ \cup\ (5;\ \infty)$

students in mrs.guerro class most complete at least 40 math problems for home work each week.the table shows the progess of 4 students on wensday.

Answers

What table? Context is missing

A student conducts a survey to determine which students at the high school completed an algebra course during their freshman year. 49, 34, and 48 students are selected at random from the Sophomore, Junior, and Senior classes. Each class has a population of 496, 348, and 481 respectively. Which type of sampling did the student use?random

stratified

systematic

cluster

Answers

The type of sampling done on the students is

STRATIFIED

Since the population are divided into strata (groups) according to their year level and random samples are taken from each of the stratum.

Random sampling is done when the samples are randomly taken from all the population. Systematic sampling is done when there is an interval used to determine which sample is to be taken. Cluster sampling is done when the population is grouped into cluters and samples are taken from random clusters. Cluster sampling does not ensure that samples will be taken from all clusters.

What are the next three terms in the sequence? -1,9,19,29,....
A=38,37,32
B=40,51,62
C=39,49,59
D=38,47,56

Answers

C=39,49,59
The pattern is plus 10 so you add 10 to 29, which equals 39. Then add 10 to 39, etc.
Hope it helps:)

Someone please help me

Answers

Step-by-step explanation:

-12.6x - 4.9x = -154

-17.5x = -154

17.5x = 154

x = 154/17.5

x =8.8

#CMIIW

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