The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can this be accomplished if there are 25 members on the board of directors

Answers

Answer 1

Answer:

2400 ways

Step-by-step explanation:

Combination has to do with the idea of selection. Here we need to select a president, a secretary, and a treasurer.

This means to select three out of twenty five persons.

From;

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

Thus we have;

25C3 = 25!/(25 - 3)! 3!

=

1.6× 10^25/1.1×10^21 × 6

= 2400 ways


Related Questions

Delia bought 32 fluid ounces of fruit juice. How many gallons of juice did she buy?


A. 1
B. 0.5
C. 0.25
D. 0.2

Answers

Answer:

the answer is C. 0.25.

Step-by-step explanation:

simply converting the fluid oz into gallons.

The answer is c. 0.25

Which rule explains why these triangles are congruent?

Answers

SSS
hope this helps!!

10) Using Limit Comparison Test (LCT), the following series
+00
M:
-1 + 2n5
n6 + 1
n=1​

Answers

Compare to the divergent series,

[tex]\displaystyle\sum_{n=1}^\infty\frac1n[/tex]

Then by the limit comparison test, the given series also diverges, since the limit

[tex]\displaystyle\lim_{n\to\infty}\frac{\frac{2n^5-1}{n^6+1}}{\frac1n} = \lim_{n\to\infty}\frac{2n^6-n}{n^6+1}=\lim_{n\to\infty}\frac{2-\frac1{n^5}}{1+\frac1{n^6}}=2[/tex]

is positive and finite.

HELP! Please!

Create an equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will it take to reach 1,000,000 cells?

Answers

Answer:

it will take 100,000 more days.

you can do this by dividing 10 and 1,000,000

what are the prime factors of the greatest 4 digit number?​

Answers

Answer:

The prime factors of the greatest 4 digit number are 3, 11 and 101.

Step-by-step explanation:

Hope it helps

The prime factors of greates 4 digit is 3,11 101

PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!

Answers

Answer:

Step-by-step explanation:

you have two disks, and one rectangle

area of the disk = π [tex]r^{2}[/tex]

47 π x 2 = 94 π (for the two disks....

rectangle area = L x W

width = 14

Length = 2*π*r = 14π

area = 14*14π = 196 π

total = 196 π + 94 π = 290 π

Answer:

The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].

Step-by-step explanation:

The formula for the surface area of a cylinder is this :

[tex]A = 2\pi rh+2\pi r^{2}[/tex]

"R" is 7, and "h" is 14. Knowing these values, let's solve.

[tex]A = 2\pi rh+2\pi r^{2}[/tex] = 2 · π · 7 · 14 + 2 · π ·72 ≈ 923.62824

The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].

Hope this helps, please mark brainliest! :)

A local dealership provides you with statistics that show the number of each color car they sold last year along with the percentages that those sales represented relative to their inventory for that color car.

For each color, how many cars did the dealership have in its inventory before they started selling them?

Answers

Answer:

red: 20

white: 30

black: 25

silver: 40

other: 12

Step-by-step explanation:

To find the original number of cars per color in the inventory, divide the sold number of cars by the percent of the inventory.

red: 20 = 10/0.5

white: 30 = 21/0.7

black: 25 = 19/0.76

silver: 40 = 10/0.25

other: 12 = 4/0.33

Find the difference,
(20m+ 3) - (7m - 5)
A. 27m - 2
B. 13m +8
C. 27m +8
D. 13m - 2
SUBMU

Answers

Answer:

B 13m+8

Step-by-step explanation:

(20m+3) - (7m-5)

20m+3-7m+5

13m+8

The answer is B. 13m+8

Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 15 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Kyle, Carol, and Adam are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

Answer:

1 / 1365

Step-by-step explanation:

Given that :

Number of employees to choose from = 15

Number of employees to be chosen = 4

Probability of choosing You, Kyle, Carol and Adam

Recall ;

P(A) = number of required outcome / Total possible outcomes

Number of required outcome = 4C4

Total possible outcomes = 15C4

nCr = n! ÷ (n-r)!r!

Using calculator to save computation time :

15C4 = 1365

4C4 = 1

P(choosing you, Kyle, Carol and Adam) :

1 / 1365

Write a statement that indicates that the triangles in each pair are congruent. NO LINKS!!​

Answers

Answer:

23

UVW congruent to WFG

and

24

FHG congruent to LMN

Answer:

23 ) UVW is congruent to WGF

24 ) FHG is congruent to LMN

What is the measure of angle AIN?
O
A. 95°
B. 125°
C. 55
o
O
D. 30°

Answers

Answer:

30

Step-by-step explanation:

AIN is a vertical angle to FIL, which means they ae equal

FIL = 30 so AIN = 30

7) Point P is located at (4,8) on a coordinate plane. Point P will be relfected over y = x. What will bee
the coordiantes of the image of point P?
A. (28,4)
B. 24,8)
C. (4,28)
D. (8,4)

Answers

I think the answer is A 28,4 I hopes this helps


Please help please and thanks

Answers

This will help a lot if you go to desmos! Just graph the equation on there! It’s much easier to see on computer

Find the surface area of the prism. 13 in. 3 in 7 in.​

Answers

Answer:

182+78+42=302 ... 302's ya answer...Give me brainiest answer to say ty! :)

Step-by-step explanation:

what is 5a +14=3(a +2)​

Answers

Answer:

a=-4

Step-by-step explanation:

See image below:)

This is my workings

I just need to know what is m=

Answers

Answer:

- 2

Step-by-step explanation:

Given :

Point A = (-1, 4)

Point B = (1, 0)

x2 = - 1 ; y2 = 4 ; x1 = 1 ; y1 = 0

Rise = (y2 - y1) = 4 - 0 = 4

Run = (x2 - x1). = - 1 - 1 = - 2

Slope = Rise / Run = 4 / - 2 = - 2

The slope, m = - 2

Use the Pythagorean theorem to find the value for ( show work )

Answers

Answer:

x = 12

Step-by-step explanation:

x^2 + (x - 7)^2 = (x + 1)^2

x^2 + x^2 - 14x + 49 = x^2 + 2x + 1

x^2 - 16x + 48 = 0

(x - 4)(x - 12) = 0

x - 4 = 0 or x - 12 = 0

x = 4 or x = 12

One side has length x - 7.

For x = 4, x - 7 = 4 - 7 = -3.

Since a side of a triangle cannot have a negative length, x = 4 must be discarded.

Answer: x = 12

HELP THIS IS FOR MY FINAL GRADE

Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?

Answers

Answer:

Ida makes $ 6960 in 5 weeks.

Step-by-step explanation:

Let the profit of the first week is p.

p = $ 600

Total profits of the five weeks

= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)

= 11 p + 0.6 p

= 11 x 600 + 0.6 x 600

= 6600 + 360

= $ 6960

So, Ida makes $ 6960 in 5 weeks.

What are the coordinates of the point plotted on this graph?

Answers

Answer:

C

Step-by-step explanation:

Correct answer

What is the sum of the polynomials?
(m + n + 3) + (m + n + 4)

Answers

Answer:

i honestly dk but need help

Step-by-step explanation:

ls

Answer:

2m+2n+7

Step-by-step explanation:

See image below:)

John made a small rectangular table for his workroom. If the sides of the table are 32 inches and 26 inches, what should the table measure diagonally?

Answers

Answer:

The table should measure diagonally about 41.23 inches.

Step-by-step explanation:

To find the diagonal of a rectangle we use the formula :

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.

[tex]32^{2}[/tex] + [tex]26^{2}[/tex] = [tex]c^{2}[/tex]

1024 + 676 = [tex]c^{2}[/tex]

1700 = [tex]c^{2}[/tex]

The square root of 1700 is (rounded to the hundreth's place) = 41.23

Answer:

c41

Step-by-step explanation:

Which summation properties or formulas must be used to evaluate this summation? Check all that
apply

Answers

Given:

Summation problem is:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

To find:

The properties or formulas must be used to evaluate the given summation.

Solution:

We have,

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

In can be rewritten as:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n[/tex]        [tex]\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}[/tex]  [tex]\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=396900+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=397530[/tex]

Therefore, the properties and formula used are:

[tex]\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2[/tex]

Answer: see attachment below

Step-by-step explanation:

HELP DUE SOON 20 POINTS

Answers

Answer:

x = 10

Step-by-step explanation:

m∠KNL = 90

10x - 10 = 90

10x = 100

x = 10

The stock of Company A gained 6% today to $87.45. What was the opening price of the stock in the beginning of the day?

25 POINTS!!!!!!!!!!!!!!!!

Answers

Answer:

$82.50

Step-by-step explanation:

gainsd 6%=106%

$87.45×100%/106%=$82.50

Hope can help!!!

Answer:

$82.50

Step-by-step explanation:

gained6%=100%+6%

100%+6%=$87.45

100%=?

solution :

$87.45×100/106=$82.50

The average height of corn stalks in a field is 71 inches with a standard deviation of 4.3 inches. Sketch a normal curve labeling the horizontal axis at one, two, and three standard deviations from the mean.

Answers

Answer:

The answer is below

Step-by-step explanation:

The empirical rules states that for a normal distribution, 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviations from the mean.

Given that:

mean (μ) = 71 inches, standard deviation (σ) = 4.3 inches

One standard deviation = μ ± σ = 71 ± 4.3 = (66.7, 75.3)

Two standard deviation = μ ± 2σ = 71 ± 2*4.3 = (62.4, 79.6)

Three standard deviation = μ ± 3σ = 71 ± 3*4.3 = (58.1, 83.9)

The graph is attached

The y value is two less than twice the x-value

Answers

Candice .... who’s Candice...alll .for nothing at all

The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line? 5 m = O A. 4 B. -4 O c. 1 4 D. 4​

Answers

Answer:

-4

Step-by-step explanation:

If the lines are parallel, then they have the same slope.

If the green line has a slope of -4, then the red line has a slope of -4

Find the value of the expression (4x – 12)+(1/3xy – 5) when x = 6 and y=2

Answers

Answer:

11

Step-by-step explanation:

GIVEN

x = 6

y = 2

STEPS

(4x - 12) + (1/3xy - 5 )

(4(6) - 12 ) + ( 1/3(6x2) - 5)

(24 - 12) + ( 1/3(12) - 5)

12 + (4 - 5)

12 + (-1)

(12 - 1)

11

Which completely describes the polygon ? equilateral equiangular regular congruent

Answers

Answer: C) regular

Explanation:

Any regular polygon is both equilateral and equiangular.

Equilateral = all sides are equal

Equiangular = all angles are equal

3p(2p - 9) - 2p(-9 + p)​

Answers

Answer:

4p² - 9p

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3p(2p - 9) - 2p(-9 + p)

Step 2: Simplify

[Distributive Property] Distribute 3p:                                                               6p² - 27p - 2p(-9 + p)[Distributive Property] Distribute -2p:                                                             6p² - 27p + 18p - 2p²[Subtraction] Combine like terms (p²):                                                            4p² - 27p + 18p[Addition] Combine like terms (p):                                                                   4p² - 9p
3p(2p-9)-2p(-9+p)
6p -27p -2p^2+12p
4p^2 -27p+18p
Combine like terms
Your answer is 4p^2 -9p
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If you have a choice to earn simple interest on $10,000 for three years at 8% or annually compounded interest at 7% for three years which one will pay more and by how much approximately?a. Simple interest by $50.00b. Compound interest by $22.97c. Compound interest by $150.75d. Compound interest by $150.00e. None of the above. For people who have taken PreCalc/Calc: Find the constant a such that the function is continuous on the entire real line. (Summer Math Packet) help please! the question is in the picture below for reference when answering! thank you so much! The social class of France that faced the most discrimination and oppression was theA. 1st estateB. 2nd estateC. 3rd estate A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 92.4% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem!If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated.prob =At least 4 digits!If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them graduated.prob =At least 4 digits!Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate?no, it is not unusualyes, it is unusualIf 12 of the students from the special programs are randomly selected, find the probability that at most 9 of them graduated.prob =At least 4 digits!Would it be unusual to randomly select 12 students from the special programs and get at most 9 that graduate?yes, it is unusualno, it is not unusualWould it be unusual to randomly select 12 students from the special programs and get only 9 that graduate?no, it is not unusualyes, it is unusual Need help, please help me ASPA!!! tell this !!!!............ Can someone help me with this please? I will mark you brainliest what methods can you use to better support your inferences and interpretations of a text as a whole? how are these methods different for literary and informational texts Help me PLEASEEEEfind the the angles Alcohol is being heated on the stove and distillates at 172.4F . What is this temperature on the Celsius degree? Shannon was born on 12/21/1982. How many eight digit codes could she make using the digits in her birthday? 26/50 convert to a decimal Triangle A is reflected in the x-axis to give B.Triangle B is reflected in the y-axis to give C.Describe fully the single transformation that maps A onto C.PLZ HELP pleaseeee helppppppp Match the description with either a dehydration reaction or a hydrolysis reaction. 1. Water is used to split a compound into two parts. 2. Water is a product in this reaction. 3. Synthesis reaction 4. Decomposition reaction Estimate by rounding to nearest 100 5428 + 6378 = ? What is a counterargument?an argument that is in opposition to the writers thesisa statement of the writers positiona summary of the writers main pointsan assumption that connects the grounds to the claim In 8 to 12 sentences, did President Lincoln believe that states had a right to secede from the Union? Why or why not? whom did Tom Ramsay rely on for his expenses?