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ipn [44]
3 years ago
13

PLEASE HELP ASAP

Mathematics
1 answer:
muminat3 years ago
7 0
Last month, she had 100.....this month, 30 new members joined and 10 cancelled....thats basically the same as saying 20 new members joined...so there are now 120 members...at 10 per subscription = 120(10) = $ 1200 <=
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An instructor who taught two sections of engineering statistics last term, the first with 20 students and the second with 30, de
Lelechka [254]

Answer:

(a) P(X=10) = 0.2070

(b) P(X\geq 10) = 0.3798

Step-by-step explanation:

Note that in this problem we have an initial population N = 50, of which 30 fulfill a certain characteristic "m" (belong to the second section). Then, from the population N, a sample of size n = 15 is selected and it is desired to know how many comply with the desired characteristic (second section).

So

Let X be the number of projects in the second section, then X is a discrete random variable that can be modeled by a hypergeometric distribution.

(a)

Therefore, to answer question (a) we use the following equation presented in the attached image:

Where:

N = 50\\m = 30\\n = 15\\X = 10

Then:

P (X = 10) = \frac{\frac{30!}{10!(30-10)!}\frac{20!}{5!(20-5)!}}{\frac{50!}{15!(50-15)!}}\\\\\\P(X=10) = 0.2070

(b)

For part (b) we have:

P(X\geq10) = 1-P(X

P(X\geq 10) = 1-0.6202 \\\\P(X\geq 10) = 0.3798

4 0
3 years ago
What is this y=x^2+16x+71​
Nady [450]
Domain x = no solution
Minimum (-8,7)
Vertical intercept (0,71)
5 0
3 years ago
Ollie earns a fixed amount of $2,700 per month and a commission of 12% on all of his sales for the month. To cover all of his ex
storchak [24]

Answer:

Part A) 0.12x+2,700\geq 5,400

Part B) see the explanation

Step-by-step explanation:

Part A) Write an inequality that will represent the amount of sales Ollie will need in order to cover his monthly expenses

Let

x ----> the amount of sales monthly

Remember that

12\%=12/100=0.12

we know that

The fixed amount of $2,700 plus the commission of 12% on all of his sales for the month must be greater than or equal to $5,400

so

The inequality that represent this problem is

0.12x+2,700\geq 5,400

Part B) Find the solution and describe what the graph would look like on a number line

we have

0.12x+2,700\geq 5,400

Solve for x

subtract 2,700 both sides

0.12x \geq 5,400-2,700\\0.12x \geq 2,700

Divide by 0.12 both sides

x\geq \$22,500

The minimum amount of sales needed to cover his monthly expenses is $22,500

In a number line the solution is the shaded area at right of x=22,500 (closed circle)

see the attached figure to better understand the problem

4 0
3 years ago
How do I graph this ? PleAse help
azamat

Answer:

the slope is 1 up and 7 left (mx part of the equation) and the 2 is where you start on the y axis. So you start at 2 on the vertical axis, and move up one and left 7, and put a point on where you land and continue.

Step-by-step explanation:

It should look something like this: hope this helps :)

4 0
2 years ago
1) R is the midpoint of PS <br>PR=6x+16 <br>RS=12x-32 determine the following <br>X=<br>RS=<br>PS=
jarptica [38.1K]

Answer:

x=8,RS=12*8-32=64,PR=6*8+16=64

Step-by-step explanation:

PR=PS

6x+16=12x-32

6x=48

x=8

3 0
3 years ago
Read 2 more answers
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