pls help!! i rlly need this quick

Answer:

See below ~

Step-by-step explanation:

Combination Rule

#1) ²²C₂₀

#2) ¹²C₈

Answer:

[tex]\displaystyle ^{22}C_{20} =231[/tex]

[tex]\displaystyle ^{12}C_{8} =495[/tex]

Step-by-step explanation:

Binomial Coefficients

[tex]\displaystyle \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{(n-r)! \, r!}[/tex]

[tex]\begin{aligned}\displaystyle \implies ^{22}C_{20} & = \frac{22!}{(22-20)! \, 20!}\\\\ & =\frac{22!}{2! \, 20!}\\\\ & =\frac{22 \cdot 21 \cdot 20!}{2! \, 20!}\\\\ & =\frac{22 \cdot 21}{2 \cdot 1}\\\\ & =\frac{462}{2}\\\\ & =231\end{ailgned}[/tex]

[tex]\displaystyle \begin{aligned} \implies ^{12}C_{8} & = \frac{12!}{(12-8)! \, 8!}\\\\ & =\frac{12!}{4! \, 8!}\\\\ & =\frac{12 \cdot 11 \cdot 10 \cdot 9 \cdot 8!}{4! \, 8!}\\\\ & =\frac{12 \cdot 11 \cdot 10 \cdot 9}{4 \cdot 3 \cdot 2 \cdot 1}\\\\ & =\frac{11880}{24}\\\\ & =495\end{aligned}[/tex]

Penny sells knitted scarves for $12 each. The cost of the supplies to make each scarf is x dollars.
How much profit will Penny make if she sells y scarves?
A. y(12 – x)
B. 12(x – y)
C. y(x – 12)
D. x(12 – y)

Need help with this one

11
50
11 What is the solution to 8x - 3(2x - 4) = 3(x - 6)?
-
No solution
2
30
FO
EXTD 10:36
acer

PLS HELP ME ASAP! IT IS 80 POINTS WORTH! Florida has 67 counties and Texas has 254 counties. The mean population for the state of Florida by county is 291,834 with a standard deviation of 467,012.03, and the median is 107,056. The mean population for the state of Texas by county is 104,127 with a standard deviation of 374,012.2261, and the median is 18,293.

Some of the data for both states is shown. A business is moving from Texas to Florida. As a result of the move 8,193 people move from the largest Texas county to the smallest Florida county, in terms of population. Mark the population statistics that will be affected with this population change found in the chart below with "check". Does the IQR for Florida increase, decrease or stay the same?
Does the Mean of Texas increase, decrease or stay the same?
Does the median of FL increase, decrease or stay the same?
Does the standard deviation of Texas increase, decrease or stay the same?

Pls help with this I started it but I don't know what to do next

Mr. Davis took his car to the repair shop. His total bill was $253. He was charged $48 for parts, and $5 for shop materials.
The rest of the charge was for labor. If it took four hours to fix the car, how much does the shop charge per hour for labor?

what is the vaule of x?

Help me please thanks

When a bill is not paid by the due date, a late fee is added each month until the bill is paid. The values in the table represent the total amount due, in dollars, for each month that a payment remains overdue. Using x for the number of months overdue and y for the total amount due, in dollars, construct a linear function that describes the relationship between the number of months the bill is overdue and the total amount due. Enter the equation of the function in the box, and use paper to show your work

Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 4 ft^2 and the prism stands 2.4 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 32 ft^2.

(a) Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping. How much roping does he purchase?


(b) Leo plans to add gold leaf to the sides of the stand but not to the two bases. What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number​.

what is (4,5) rotated 90 degrees clockwise?
(pls help)

Which equation could be used to find the number of days, d, in h hours? A. 24+h=d B. 24h=d C. 24/h=d D. H/24=d

need some help with the question in the image

Cheers​

What's the domain of this function graph?


A)

[0,∞)

B)

(–∞, 0)

C)

[1,∞)

D)

(–∞,∞)

Pls help me I need the answer with how u did it pls
and the quis Solve for x, then find the measure of the angle given

Solve the right triangle. Round your answers to the nearest tenth

please help me i will give brainlest if the correct answer

Find the perimeter of the isosceles triangle with points A (0,0); B (3,3); and C (6,0)

(0, 5) and (1, 7) fall on a particular line. What is its equation in slope-intercept

There are 1 blue ball pen, 1 red ball pen, and 1 green ball pen in Lily's bag while there are 1 blue ball pen and 1 red ball pen is Mandy's bag. A ball pen is randomly drawn from each bag. Find the probability that both ball pens drawn are green

In some countries, people believe that blood type has a strong impact on personality. For example, Type B blood is thought to be associated with passion and creativity. A statistics student at a large U. S. University decides to test this theory. Reasoning that people involved in the arts should be passionate and creative, she takes a simple random sample of students majoring or minoring in arts at her university and asks them for their blood type. Here are her results:

Observed number of performing arts majors with each blood type

Type A Type B Type AB Type 0 Total

50 23 10 67 150

Assume the distribution of blood type among all U. S. Residents is as follows:

Type A: 42%; Type B: 10%; Type AB: 4%; Type O: 44%.

(a) The student wants to carry out a test of significance to see if the distribution of blood types among arts majors or minors is different from the U. S. Distribution. State the null and alternative hypotheses for this test.

(b) Find the expected counts for each blood type under the assumption that the null hypothesis is true.

(c) Discuss whether the conditions for this test have been met.

(d) Find the value of the test statistic and the P-value of the test, and make the appropriate conclusion. Use α = 0. 5.

(e) Based on your answer to (d), which error is it possible that you have made, Type I or Type II? Describe that error in the context of the problem

Events A and B are overlapping.

P(A) =4/11 ; P(B) =3/11 , P(A and B) = 2/11.

Find P(A or B).
7/11
5/11
8/11
9/11

Solve the following please:

What are the solutions of -x2 + 4x = x - 4?
O-5 and 0
0-5 and -1
0-1 and 4
O and 4

the sum of 10 observation is 110 then the mean is
A)11
B)10
C)7
D)5​

Find the volume of this prism

-345-234
Show how you worked it out

Which of the following represents an exponential relationship?
A
(1,5),(2,10),(3,15)(1,5),(2,10),(3,15)
B
(2,9),(3,27),(4,81)(2,9),(3,27),(4,81)
C
(2,4),(3,9),(4,16)(2,4),(3,9),(4,16)
D
(5,15),(6,18),(7,21)

A cafeteria is in the shape of a rectangle. The length of the rectangle is four times its width. The area of the cafeteria is 14,800 square feet. What is the length of the cafeteria? Round to the nearest foot.

Can someone help me please!!