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3 years ago

PLEASE HELP ASAP

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).

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

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 PR=6x+16 RS=12x-32 determine the following X= RS= 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

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