Calculate.
12C4
Note: Cr=
n
n!
r!(n−r)!

Answers

Answer 1

Answer:

495

Step-by-step explanation:

using the definition

n[tex]C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex]

where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

then

12[tex]C_{4}[/tex]

= [tex]\frac{12!}{4!(12-4)!}[/tex]

= [tex]\frac{12!}{4!(8!)}[/tex]

cancel 8! on numerator/ denominator

= [tex]\frac{12(11)(10)(9)}{4!}[/tex]

= [tex]\frac{11880}{4(3)(2)(1)}[/tex]

= [tex]\frac{11880}{24}[/tex]

= 495


Related Questions

Rewrite 0.81 x
104 in scientific notation.
x 10
HELP ME

Answers

0.81 x 10^4
= 8.1 x 10^3

Answer:

Ok ill help i guess

Step-by-step explanation:

0.81 X 10000

Seth needs to buy mulch to cover a circular garden. The garden has a radius of 5ft. Mulch costs $0.25 per square foot. How much will it cost Seth to cover his garden in mulch?

Answers

Answer:

?????

Step-by-step explanation:

12x 0.25=?          ?x 5= $?

Suppose that the ingredients for a large bucket of popcorn cost a movie theater 80 cents
to buy. If the theater charges $9 for the bucket, what is the percent markup? Give your
answer as a percent rounded to the nearest whole percent.

Answers

Answer:

The percent markup is 91%.

Step-by-step explanation:

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

Answer:

The percent markup is 91%.

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2 divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

Find the Volume of the prism. All sides of a square box is 7/10 in.

Answers

Answer:

yyyuu,gsfehwgegrbarhqhyekejtwhhtthtanafgegrajtsjttjrhrhrjarhahrhehrhrrnrjehehehehthsqrsjsyksthggejejsgrh,,kerhatstnwtkekehaahwjjyykjm.hteerylektkh#h#h#jrj

both pictures go together

Answers

The probabilities of the events are P(A) = 4/7. P(B) = 1/2, P(A and B) = 1/7, P(A | B) = 2/7 and P(B) * P(A | B) = 1/7

The probability that equals P(A and B) is P(B) * P(A | B)

How to calculate the probabilities of the events

From the question, we have the following parameters that can be used in our computation:

The Venn diagram

Where, we have

A = 8

B = 7

A and B = 2

Neither = 1

Total = 14

So, we have

P(A) = 8/14 = 4/7

P(B) = 7/14 = 1/2

P(A and B) = 2/14 = 1/7

P(A | B) = (1/7)/(1/2) = 2/7

P(B) * P(A | B) = 1/2 * 2/7 = 1/7

How to calculate the probability that equals P(A and B)

In (a), we have

P(A and B) = 1/7

Also, we have

P(B) * P(A | B) = 1/7

This means that the probability that equals P(A and B) is P(B) * P(A | B)

Read more about probability at

https://brainly.com/question/251701


#SPJ1

In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt

Answers

Answer:

Step-by-step explanation:

lets have the shirts represent s and the ties t.

1. 6s+3t=79.50

2. 3s+2t=41

These would be the equations.

you multiply the second equation by -2 to cancel s and add both equations.

6s+3t=79.50

-6s+-4t=-82

-1t=-2.5 (after adding you divide by -1)

t=2.5

You can then subsitute that in either equation.

I am going to ue teh second one.

3s+2t=41

3s+2(2.5)=41

3s+5=41 (subract 5 to isolate variable)

3s=36 (divide by 3 to isolate variable)

s=12

Hence, one shirt is 12$.

Question
Use the Quotient Rule of Logarithms to write an expanded expression equivalent to ln(2/7).Make sure to use parenthesis
around your logarithm functions log(x + y).
Provide your answer below:

Answers

Answer:

ln(2) - ln(7)

Step-by-step explanation:

Logarithmic expressions are represented using ln or log keywords

The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

The expression is given as:

[tex]\mathbf{ln(2/7)}[/tex]

The quotient rule of logarithm states that:

[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]

So, by comparison:

a = 2, and b = 7

So, we have:

[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]

Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

Read more about logarithms at:

https://brainly.com/question/9665281

pls help me :( Find the value of x. Round to the
nearest tenth.

Answers

Answer:

11.3

Step-by-step explanation:

Set up your equation:

a² + b² = c²

Plug in your values:

a² + 4² = 12²

Get a² by itself:

a² = 12² - 4²

Square your numbers and subtract:

a² = 144 - 16

a² = 128

Find the square root of both sides:

√a² = √128

a = 11.3

The area of a rectangle is 192 cm. The length of the rectangle is 16 cm. What is the width?

192 = 16w -(solve for w)

Answers

Area =L×W

192=16W

192/16 =W

W=12cm

In a survey of 292 students, about 9.9% have attended more than one play. Which
is closest to the number of students in the survey who have attended more than one
play?
3 students
10 students
20 students
30 students

Answers

Answer: it's 30 I rook the quiz and got 100

Step-by-step explanat

Help please !! need it asap

Answers

Answer:

AB = 6

m∠F = 70°

Step-by-step explanation:

1.) This is isosceles, from the angles you can tell

2.) Angles F and D are equal, this is also a form of isosceles

180-40 = 140

140/2 = 70

A spinner has 3 equal sections labeled X, Y, and Z. Jinghua spins this spinner twice. Which represents all the possible outcomes for Jinghua?

Select one:


XY, XZ, YX, YZ, ZX, ZY


XX, XY, XZ, YX, YY, YZ, ZX, ZY, ZZ


X, Y, Z


XX, YY, ZZ
acually anwser or i'll report u

Answers

Answer:

XX, YY, ZZ

Step-by-step explanation:

The inverse of x→y is:​

Answers

Answer:

This is invertible

Step-by-step explanation:

pls give brainliest!

have a great day!

PA = 0.5 PB = 0.3 and p A and b equals 0.15 what is p A or b

Answers

Answer:

P(A) = 0.2, P(B) = 0.5, P(A\B) = 0.3:

P(A\B) = P(A and B) P(B)

0.3 = P(A and B) 0.5

0.15 P(A and B)

P(A and B) = 0.15

B. P(A or B) = P(A) + P(B) - P(A and B)

0.2 + 0.5 - 0.15

0.70 - 0.15 = 0.55

square root 3 minus X Minus x squared is equals to x - 2​

Answers

Step-by-step explanation:

I hope it helps I was just trying. if I'm wrong you can tell me I I will ask the people who are around me. wish you all the best.

Which of the following grids does the
shaded portion represent 10% of the grid?




Answers

Answer:

C

Step-by-step explanation:

Since the area all of the grids are 100 (10X10), in order for the shaded portion to be 10% of that it would have to be 10 of the squares. (10% = 10/100) Therefore because the one with 10 squares shaded is C, the answer is C!

Answer:

meow meow ............

.......

Which figures can have all of the properties shown below?



2 pairs of parallel sides
Sides that are perpendicular
Opposite sides that are equal

square, pentagon, rectangle


trapezoid, triangle, square


quadrilateral, square, rectangle


rectangle, hexagon, square

Answers

Answer:

Quadrilateral, square, rectangle

Step-by-step explanation:

An object have parallel sides if the sides have the same distance apart and they never meet.  

Quadrilaterals usually have parallel sides

Polygons including triangles and pentagons do not have parallel sides

the sides of a quadrilateral are also perpendicular. the sides form a 90 degree angle with each other

Opposite sides of a quadrilateral are usually equal. For example, the opposite lengths of a rectangle are equal. the four sides of a square are equal

A four-sided backyard is in the shape of a parallelogram and has two adjacent sides both with lengths of 30 feet. Which of the following must be true about the shape of the backyard?​

Answers

Answer:

The question is uncomplete.

Step-by-step explanation:

Sorry but after you said

"which of the following must be true about the shape of the backyard." you didn't list possibilities after that. sorry

The statement that is true about the shape of the backyard is that: it is a rhombus.

What is a Rhombus?

A rhombus is a quadrilateral whose adjacent sides have equal lengths, that is, they are congruent.

Thus, since the four-sdied backyard is in the shape of a parallelogram and also has two adjacent sides that are congruent (30 ft each), then it is a rhombus.

Therefore, the statement that is true about the shape of the backyard is that: it is a rhombus.

Learn more about rhombus on:

https://brainly.com/question/20627264

what does any order grouping mean when adding expressions

Which properties are used?

Answers

the answer is not 3752838.56

Answer:

To evaluate a variable expression means to find the value of the expression for given values of the variables. To evaluate, substitute the given values for the variables in the expression and simplify using the order of operations (PEMDAS)

Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven?
please help

Answers

$89(0.20) = $17.8
$89-$17.8 = $71.20

Answer: $71.20

Step-by-step explanation: 20% discount means 20% of the original price is subtracted from the original price, so to find 20% of the original price multiply 89 by 0.2 and you will get 17.8. Subtract the 17.8 from 89 and you get the answer, $71.20!  

what are some common work activities performed by Human Resources Managers? Check all that apply.
resolving conflicts and negotiating with others

operating vehicles, mechanized devices, or equipment

handling and moving objects

establishing and maintaining interpersonal relationships

inspecting equipment, structures, or material

communicating with supervisors, peers, or subordinates a

Answers

Answer:

A, resolving conflicts and negotiating with others

D,establishing and maintaining interpersonal relationships and F,communicating with supervisors, peers, or subordinates.

Step-by-step explanation:

Answer:

its A,B,D,F

developing objectives and strategies

assisting and caring for others

establishing and maintaining interpersonal relationships

interpreting the meaning of information for others

What is 6 7/13 divided by 5

Answers

Answer:

17/13

Step-by-step explanation:

Answer:

[tex]\frac{17}{13}[/tex] or 1 [tex]\frac{4}{13}[/tex]

Step-by-step explanation:

Mischa wrote the quadratic equation 0=-x^2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

Ac=-7 (correct answer on edg)

B.c=-1

C.c=4

D.c=7

Answers

The correct answer
C= -7

How much are your fixed expenses for the month?
Monthly Expenses
Mortgage
$897.00/month
Clothing
$96.00/month
Food-restaurants
$56.00/week
Telephone
$33.95/month
A. $1,082.95
B. $1,250.95
OC. $1,154.95

Answers

Answer:

The correct answer is B. $1,250.95.

Step-by-step explanation:

Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:

897 + 96 + (56 x 4) + 33.95 = X

897 + 96 + 224 + 33.95 = X

1,250.95 = X

So, my fixed expenses for the month are $ 1,250.95.

Answer:

$930.95

Step-by-step explanation:

just took the test

Two of the angles in a triangle measure 90 degrees and 7 degrees what is the measure of the third angle

Answers

The third angle should be 83.
90+7+83=180

Answer:

The third angle would be 83 degrees.

Step-by-step explanation:

Seeing that every triangle's angles will always add up to 180 degrees, we would do the following:

180-90=90

90-7=83 degrees.

Is 8/10 greater than 63/100

Answers

Answer:

8/10 is greater than 63/100, it is grater because when u change them into a percentage 8/10 is higher

Step-by-step explanation:

Answer:

true :D

8/10 = 80/100 which is greater than 63/100

he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population standard deviation is believed to be 3.2 minutes. The EMS director wants to perform a hypothesis test, with a .05 level of significance, to determine whether the service goal of 12 minutes or less is being achieved.

Answers

Answer:

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

The EMS director wants to service goal of 12 minutes or less is being achieved

Step-by-step explanation:

Step(i):-

Given that the size of the random sample = 40

Given that the mean of the sample (x ⁻) = 13.25

Given that the standard deviation of the Population = 3.2 minutes

Level of significance = 0.05

The mean of the Population (μ) = 12

Step(ii):-

Null hypothesis:-H₀: (μ) = 12

Alternative Hypothesis: H₁ : μ < 12

Test statistic

                  [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

                  [tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]

                  Z = 2.5

The tabulated value Z₀.₀₅ = 1.96

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

Final answer:-

The EMS director wants to service goal of 12 minutes or less is being achieved

help with math thanks so much!!!!

Answers

Answer:

The answer is 7

Help I really need this answer 5,000 mL =

Answers

Answer:

5L

Step-by-step explanation:

[tex]\frac{5000mL}{1}*\frac{1L}{1000mL} = 5L[/tex]

Answer:

5L

Step-by-step explanation:

If you are trying to find out how many liters there are in 5000 milliliters then it is 5


What percent of the rectangle above is
shaded?

Answers

20%
Dony listen to the person above me, you are literally asking for a “percent” but the person above me gave a f r a c t i o n
I already studied about this
Pls mark me brainliest
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