Use the formula for nCr, to evaluate the given expression.8C5

Answers

Answer 1

Explanation:

The question requires that we resolve the question using the combination technique

\(^8C_5\)

The general combination formula is given by

\(^pC_r=\frac{p!}{r!(p-r)!}\)

Therefore

Applying the formula, we will have

\(^8C_5=\frac{8!}{5!\times3!}=\frac{8\times7\times6\times5!}{5!\times3\times2}\)

Simplifying further

\(\begin{gathered} ^8C_5=8\times7 \\ ^8C_5=56 \end{gathered}\)

Therefore, the answer is 56


Related Questions

PLEASE HELP!!!

A television is purchased by a company for $210. They mark up the price by 55%. What is the selling price? Show two different ways to solve this problem.​

Answers

Answer:

$325.50

Step-by-step explanation:

1) 210÷100 = 2.1

  2.1×55 = 115.5

  210 + 115.5 = 325.5

2) 210×55 = 11550

   11550÷100 = 115.5

   210 + 115.5 = 325.5

ferds basement is flooded. the basement is 3.4 metes below the ground floor the water is 1.2 meters high

Answers

Answer:

The untouched space in the basement is the upper 2.2 meters.

Step-by-step explanation:

The following expression represents the profit made by John as he mows
lawns: P = 20L - 100
Which description correctly interprets each part of the expression?

The following expression represents the profit made by John as he mowslawns: P = 20L - 100Which description

Answers

Answer:

P is price per lawn, 20 is the money made per lawn, L is the number of lawns mowed, 100 is his initial cost.

Step-by-step explanation:

The slope of a line is 1/2, One point on the line is (-2, 5). What is another point on the line?

Answers

Answer:

I don't know maybe you research?

Step-by-step explanation:

How do i solve this? and what’s the answer?

How do i solve this? and whats the answer?

Answers

Answer:

x = 18

Step-by-step explanation:

The line joining 2 midpoints of the non parallel sides of a trapezoid is 1/2 the sum of the two parallel lines.

Put in much simpler language XY = 1/2 (BC + AD)

4x - 2 = 1/2 (6x + 1 + x)                         Combine the right

4x - 2 = 1/2 (7x + 1)                               Multiply by 2

8x - 4 = 7x + 1                                       Add 4 to both sides

8x = 7x + 5                                           Subtract 7x

x = 5

But what you want is the length of XY

XY = 4x - 2 = 4*5 - 2 = 18

Sorry I noticed too late that I used x for s. The answer would still be 18.

the answer would be x = 18

70 points!!!!!!!!!!
Rewrite y=2(1.06)9t in the form y=a(1+r)t or y=a(1−r)t to determine whether it represents exponential growth or exponential decay. Round a and r to the nearest hundredth if necessary.

Answers

The function is an exponential growth function

How to determine the type of the function

The function is given as

y=2(1.06)^9

We can begin by rewriting the given equation as:

y = 2 * 1.06t

So, we have

y = 2 * (1 + 0.06)^t

Now we can see that the equation is in the form y = a*b^t,

where a = 2 and b = 1.06^9

This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.

We can re-write it in the form y = a(1+r)t,

we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.

so we have y = 2(1+0.06)^t

So, the equation represents exponential growth with a = 2 and r = 0.06

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-7x-3=12 what is the answer to this question??.

Answers

-7x - 3 = 12
Add 3 to the other side
-7x = 15
Divide both sides by -7
x = 15/ -7

For breakfast, Sara can choose from oatmeal, cereal, toast, or eggs.
She thinks that if she selects a breakfast at random, it is likely that it will be oatmeal.
Is she correct?
Explain your reasoning.

Answers

She has a 1 out of 4 chance to pick oatmeal. She must have ESP because those aren’t good odds. No, she is not correct.

Hey Buddy I am here to help!

No she is not correct because there r four individual options and all four options r equal in proportion... oatmeal is equal to the rest... in mathematical form -

outcomes -  4

higher probability - none

lower probability- none

probabilty of oatmeal - 1/4

Hope it helps!

Plz mark me brainliest !

pls solve these questions for me i will be very thankful to u. pls!!!!!!!!!!

pls solve these questions for me i will be very thankful to u. pls!!!!!!!!!!
pls solve these questions for me i will be very thankful to u. pls!!!!!!!!!!
pls solve these questions for me i will be very thankful to u. pls!!!!!!!!!!
pls solve these questions for me i will be very thankful to u. pls!!!!!!!!!!
pls solve these questions for me i will be very thankful to u. pls!!!!!!!!!!

Answers

Answer:

second question answer is b 2400

Step-by-step explanation:

1st Question answer

A. y² + 12y + 35

2nd question answer

B. 2400

3rd question answer

D. 108 sq. cm

4th question answer

D. 5mn + 3

5th question answer

A. 12x^4y^4

plz solve for brainlyest

plz solve for brainlyest

Answers

I think it’s
True
True
False
True
15% of $12.00 is $1.80

Answer:

1.80

Step-by-step explanation:

HELP WILL MARK BRAINLEST
no files nd no pictures

HELP WILL MARK BRAINLESTno files nd no pictures

Answers

Answer:

6xsquared +9x + 12

pls answer this!!!
worth 30 points
find the circumference of a circle with d=97cm diameter
round to 3 significant figures

Answers

The circular is around 305 cm in circumeference.

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle.

Substituting d = 97 cm and using the value of π to be 3.14159, we get:

C = πd

C = 3.14159 × 97 cm

C ≈ 304.731 cm

Rounding this to 3 significant figures, we get:

C ≈ 305 cm

Therefore, the circumference of the circle is approximately 305 cm.

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THIS IS DUE IN 5 MINUTES I WILL GIVE BRAINLIST ASAP! The table below shows the cost of downloading songs from a website.
Number of songs 6 the total cost of it is 3.78 If c represents the total cost in dollars and cents for any number of songs downloaded, s, write a proportional equation for c in terms of s that matches the context.

Answers

Number of songs 6 the total cost is 3.78 as known so subtract and divide both

Answer:

c = 0.63(s)

Step-by-step explanation:

brainliest please<3

Find the missing dimension of the following parallelogram.

base= 16 ft

Area=336 sq. ft

Answers

Answer:

21 (PLEASE GIVE BRAINLIEST)

Step-by-step explanation:

we have the base, but we need the height

we will find it using the area:

height = 336 / 16 = 21

if CD is parallel to BE, DC = 4x - 11, BE = 6, AD = 15, and ED = 4, find x. Round to the nearest tenth if necessary.

Answers

The value of x is approximately 8.4.To find the value of x, we can use the fact that CD is parallel to BE to establish a relationship between the corresponding sides of the two triangles formed.

Based on the given information, we have:

DC = 4x - 11

BE = 6

AD = 15

ED = 4

Using the corresponding sides in the triangles, we can set up a proportion:

AD/ED = CD/BE

Substituting the known values:

15/4 = (4x - 11)/6

Now we can cross-multiply to solve for x:

6 * 15 = 4 * (4x - 11)

90 = 16x - 44

Adding 44 to both sides:

134 = 16x

Dividing both sides by 16:

x = 8.375

Rounded to the nearest tenth, x ≈ 8.4.

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You are a first-year police officer in NYC. You make $3,541.67 monthly. Next year, you are given a raise to 47,000. How much more per month will you earn your second year.

Answers

Answer:

374.99 or rounded up to 375

Step-by-step explanation:

First we need to take 47,000 and divide it by 12 to find the monthly income.

47,000/12 is 3916.66

now subtract 3541.67 from 3916.66

Determine whether the series converges or diverges...

Determine whether the series converges or diverges...

Answers

Answer:

Convergence

Step-by-step explanation:

Use the Squeeze Theorem,

I know that

\( \frac{k \sin {}^{2} (k) }{1 + k {}^{3} } \)

lies between 0 and 1 so

\(0 \leqslant \frac{k \sin {}^{2} (k) }{1 + {k}^{3} } \leqslant \frac{k}{1 + k {}^{3} } \)

The final series behaves like

\( \frac{1}{k {}^{2} } \)

Using the p series, since p is 2, the series

\( \frac{k}{1 + k {}^{3} } \: converges\)

Since the 0 and k/1+k^3 converges, the series converge.

Convergence

Find the mean of the following numbers; 7 21 2 17 3 14 7 4 9 7 9

Answers

Answer:

9

Step-by-step explanation:

2,3,4,7,7,7,9,9,14,17,21

21,17,14,9,9,7,7,7,4,3,2

3,7,7,7,9,9,17,21

mean = 9.09_________________

Step-by-step explanation:

mean = sum ÷ numbers

= 100 ÷ 11

= 9.09

_________________FOLLOW ME

What is (-2/3)+(7/8)?

Answers

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

Please Help! I'm lost, in a maze and I can't find my way out.

Please Help! I'm lost, in a maze and I can't find my way out.

Answers

Show us the maze and we will help

find the quotient of -7/5÷-9/5​

Answers

Answer:

7/9

Step-by-step explanation:

-7/5÷-9/5

- cancelled with each other

(7×5)/(9×5)

5 also cancelled with 5

then your answer is 7/9

One interpretation of a baseball player's batting average is as the empirical probability of getting a hit each time the player goes to bat. If a player with a batting average of 0.2560.256 bats 55 times in a game, and each at-bat is an independent event, what is the probability of the player getting at least on hit in the game

Answers

Answer:

The probability of getting at least one hit in 5 games is 0.772

Step-by-step explanation:

The correct question is as follows;

One interpretation of a baseball player's batting average is as the empirical probability of gettig a hit each time the player goes to bat. If a player witt a batting average of 0.256 bats 5 times in a game, and each at-bat is an independent event, what is the probability of the player getting at least one hit in the game?

We proceed with the answer as follows;

Here, we want to calculate the probability of a player with a certain batting average getting at least one hit in a game if he bats 5 times

Mathematically, Probability of getting at least one hit in 5 games = 1 - Probability of getting no hit in 5 games

Let p = probability of getting hit in a game = 0.256

q = Probability of getting no hit in a game = 1-0.256 = 0.744

So the probability of getting no hits in 5 games will be 0.744^5 = 0.228

Thus, the probability of getting at least one hit in the 5 games = 1 - 0.228 = 0.772

Find the sum: -5 + 13 =

Answers

Answer:

it is 8

Step-by-step explanation:

I'm just smart when it comes to maths

Answer:

answer =+8

Step-by-step explanation:

or,-5+13

or,+8

lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?

A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next

Answers

The correct answer is B. The sample represents a proportion of the population.

What is the sample population ?

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?

384 feet
272 feet
256 feet
240 feet

You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance

Answers



The distance that an object falls due to gravity is given by the equation:

d = 1/2 * g * t^2

where d is the distance fallen, g is the acceleration due to gravity, and t is the time elapsed.

In this case, we are given that the penny falls 16 feet during the first second, 48 feet during the second second, and 80 feet during the third second. From this, we can see that the penny is falling with a constant acceleration of 32 feet per second per second (since the distance is increasing by 32 feet each second).

To find the distance that the penny falls during the eighth second, we can use the same equation as before, but with a value of t equal to 8 seconds:

d = 1/2 * g * t^2
d = 1/2 * 32 * 8^2
d = 1/2 * 32 * 64
d = 1024 feet

Therefore, the penny will fall 1024 feet during the eighth second.

A submarine is descending at a rate of 7 feet per second.

A 2-column table with 4 rows. Column 1 is labeled Seconds with entries 1, 2, 3, 4. Column 2 is labeled Feet with entries 7, 14, 21, 28.

Which statements are true? Select all that apply.
The number of seconds causes a change in the number of feet the sub descends.
The number of feet the sub descends causes a change in the number of seconds.
The equation is f = 7s.
The equation is s = 7f.
As the number of seconds increases, the number of feet the sub descends increases.

Answers

Answer:

A C E

Step-by-step explanation:

i got it right on edge :)

Answer:

A, C, E

Step-by-step explanation:

Just look at the person above no need to scroll down

Write 2^60 as an exponent with a base of: b 16

Answers

Answer:

im pretty sure you tried to say

Write 2^60 as an exponent with a base of:

a) 8

b) 16

c) 32

the answer is :

8^20 (eight to the twentieth power)

\(2^{60}\) is equivalent to \(16^{15}\).

We can rewrite the expression by means of the following power property, that is to say:

\(a^{b\cdot c} = (a^{b})^c\), \(a, b, c\in \mathbb{N}\) (1)

Where \(a\) and \(a^{b}\) are bases.

If we know that \(a = 2\) and \(b\cdot c = 60\), then the equivalent expression is:

\(2^{60} = 2^{4\cdot 15} = (2^{4})^{15} = 16^{15}\)

Hence, \(2^{60}\) is equivalent to \(16^{15}\).

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(9 x 7) + 7 - 8 = ?
EXPLAIN HOW!

I give you 10 pts

Answers

Answer:

\(\huge\boxed{\bf\:62}\)

Step-by-step explanation:

\((9*7) + 7 - 8 = ?\)

We can solve this by using the PEMDAS concept where,

P = Parentheses E = Exponents M = Multiplication D = Division A = Addition S = Subtraction

So, to solve this, we need to solve the numbers in the parentheses by doing the requested operation (here it is, mutiplucation).

\((9*7) + 7 - 8\\= (63) + 7 - 8\)

Now, by looking at the PEMDAS rule, we can see that the next step is addition (as, we don't have to divide in this question).

\((63) + 7 - 8\\= 63 + 7 - 8\\= 70 - 8\)

Now, subtract 8 from 70 .

\(70 - 8\\= \boxed{\bf\:62}\)

\(\rule{150pt}{2pt}\)

round 10,345 to the nearest hundred

Answers

Answer:

10300

Step-by-step explanation:

the number 4 which is right after the hundred column is not up to 5 therefore it can it change the number.

The temperature of a freezer started at 18ºC. After cooling for a few hours, the freezer had a temperature of –12ºC. What is the difference between the new, colder temperature and the original temperature?
Negative 12 minus 18
Negative 12 minus (negative 18)
18 minus 12
18 + (negative 12)

Answers

Answer:

Its a

Step-by-step explanation:

took the test egde 2021

The difference between the new, colder temperature and the original temperature is 30 ° C.

What is temperature ?

"Temperature, measure of hotness or coldness expressed in terms of any of several arbitrary scales and indicating the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature). Temperature is not the equivalent of the energy of a thermodynamic system; e.g., a burning match is at a much higher temperature than an iceberg, but the total heat energy contained in an iceberg is much greater than the energy contained in a match. Temperature, similar to pressure or density, is called an intensive property—one that is independent of the quantity of matter being considered—as distinguished from extensive properties, such as mass or volume."

Given,

The old temperature is = 18°C

The new temperature is = -12°C

The difference in temperature is \((-12\°C - 18\°C) = 30\°C\)

Hence, A is the correct option.

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Orange Co. is a manufacturer and Pineapple Company the difference in the budgets the two entities will prep is a merchandiser. What is the difference in the budgets the two entitites will prepare?a. Orange Co. will prepare a production budget, and Pineapple Company will prepare a merchandise purchases budgetb. Orange Co. will prepare a sales forecast, and Pineapple Company will prepare a sales budget c. Pineapple Company will prepare a production budget, and Orange Co. will prepare a merchandise purchases budget d. Both compani es will prepare the same types of budgets The feature labeled 7 are ___________________ which are located in ________________. HELP PLS QUICK THIS IS IN K12 Public relations entails communicating with customer, suppliers, employees, and the community with the intent of creating ______.A) controlB) favorable imageC) short term salesD) marketing communicationsE) promotion help me please i need help If a stock falls above the Security Market Line, that indicates that (choose all that apply)...a) it is overpriced b) the stock price is negative c) its returns are negatively correlated with the market d) it is underpriced e) it has a variance that is less than the market's Hot gas at T[infinity]1 = 70C flows in a cast iron pipe (k=80 W/m-K) whose inner and outer radii are r1=3 cm and r2= 4 cm, respectively. Heat is lost to the surroundings at T[infinity]2 =24C by natural convection and radiation with a combined heat transfer coefficient of h[infinity]2=12 W/m2-K. Taking the heat transfer coefficient inside the pipe to be h[infinity]1=35 W/m2-K, determine the rate of heat loss (W) from the gas per unit length of the pipe. Round off your final answer to two (2) decimal places. what is the stereotype about the period of adolescence? what does research find? Calculate the average random kinetic energy of a gas kept at a temperature of 300k Students were asked to solve the following equation: -5x+2=-13 Russell Container Corporation has a $1,000 par value bonds outstanding with 30 years to maturity. The bind carries an annual interest payment of $105 and is currently selling for $880 per bond. Russell Corp. is in a 40 percent tax bracket. The firm wishes to know what the after-tax cost of a new bind issue is likely to be. The yield to maturity on the new issue will be the same as the yield to maturity on the old issue because the risk and maturity date will be similar.a) Compute the yield to maturity on the old issue and use this as the yield for the new issue.b) Make the appropriate tax adjustment to determine the after-tax cost of debt. The net income reported on the income statement for the current year was $203,000. Depreciation recorded on equipment and a building amounted to $60,700 for the year. Balances of the current asset and current liability accounts at the beginning and end of the year are as follows:End of YearBeginning of YearCash$56,030$58,830Accounts receivable (net)71,05072,600Inventories140,080125,070Prepaid expenses7,7908,300Accounts payable (merchandise creditors)62,59065,650Salaries payable9,0208,180Question Content Areaa. Prepare the "Cash Flows from Operating Activities" section of the statement of cash flows, using the indirect method. Use the minus sign to indicate cash outflows, cash payments, decreases in cash, or any negative adjustments. (4xy+6y-4x)-5xy-4x+3y STEP explanation pls 39Alicia has 23 coins. The coins consist of pennies and quarters and total $3.11.Write a system of equations that represents this situation. Pls help me:(:(:(:(:( TEN POINTS A QUESTION!!! Find the perimeter of the figure to the nearest hundredth. What does Rebekah Bruesehoffs book drive accomplish?A. She raises money for LGBTQ authors.B. She earns money from the sales of the books.C. She writes an inclusive curriculum for schools.D. Sheprovidesinclusivestoriestocombatstereotypes.( will give brainliest if you help) Emily and John each ran at a constant speed for a 100-meter race. Emily gave John a 10-meter head start. Use the given data below to determine who won the race and by how many seconds Explain how modern portfolio theory can be applied to lower thecredit risk of an FIs portfolio. Jason is rushed to State General Hospital after a severe car accident. Brenda, a skilled emergency physician, rushes to Jason's aid. She immediately applies the latest knowledge in medical care and makes repeated attempts to alleviate Jason's injuries. After three hours of effort by Brenda and her staff, Jason dies from his injuries. Jason's estate sues Brenda for negligence. Jason's estate will most likely:a. prove negligence because Brenda possessed superior knowledge as a physician.b. prove negligence because Jason died at the hospital.c. not prove negligence because Brenda had no duty of care to Jason.d. not prove negligence because Brenda exercised a standard level of professional knowledge and ability in treating Jason.