The Teknomite Corporation must appoint a president, chief executive officer (CEO), a chief operating officer (COO). It must also appoint a planning Committee with three different members. There are eight qualified candidates, and officers can also serve on the committee. How many ways can the officers be appointed? How many different ways can the committee be appointed?

Answers

Answer 1

Answer:

336 ways ;

56 ways

Step-by-step explanation:

Number of ways to have the officers :

Number of qualified candidates, n = 8

Number of officer positions to be filled = 3

A.)

Using permutation (since the ordering matters):

nPr = n! ÷(n-r)!

8P3 = 8! ÷ (8-3)!

8P3 = 8! ÷ 5!

8P3 = (8*7*6)

8P3 = 336 ways

B.) Different ways of appointing committee: (ordering doesn't count as officers can also be appointed)

Using the combination relation :

nPr = n! ÷(n-r)!r!

8C3 = 8! ÷ (8-3)! 3!

8C3 = 8! ÷ 5!3!

8C3 = (8*7*6) ÷ (3*2*1)

8C3 = 336 / 6

8C3 = 56 ways


Related Questions

-2w - 5w=
Please help

Answers

Answer:

-7w

Step-by-step explanation:

Answer:

-7w

Step-by-step explanation:

what is 4x+3x-12+1x

Answers

Answer:

8x-12

Hope it helped plz mark me brainliest PlzPlz

Answer:

8x-12

Step-by-step explanation:

You need to find a number/numbers that have the same variable if the variable is the same then you can add or subtract them

You can add 4x, 3x and 1x

4x plus 3x plus 1x is 8x

Since -12 is alone you can leave it as it is

8x-12

HELPPP PLEASEE SMART PEOPLE ON HERE

Answers

Answer: C

Step-by-step explanation:

Answer:

the answer is C I swear to yo mama

is m=-3 the solution to m+1=-2m-8

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

m+1=-2m-8

-3+1=-2(-3)-8

-2=-2(-3)-8

-2=6-8

-2=-2

10 points!! Please help :) will mark brainlist

Answers

Answer:

it is 90 degrees

Step-by-step explanation:

Well I don't know about these angles, but if you were an angle you'd be acute one ;)

PLEASE HELLPPPPPPP!!!!!!!!
Find the equivalent for −(3)^-4

Answers

Answer:

C.  - ([tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex])

Step-by-step explanation:

-3 ^-4 = -1/3 ^4

This equal - ([tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex])

The difference of 8 and six times a number is a minimum of sixty-eight

Answers

Answer:

Let's represent the unknown number with the variable, x.

The word "difference" indicates subtraction and "times" indicates multiplication.

The "difference of 8 and six times a number" would be represented as:  8 - 6x

NOTE: The order of the terms is important (8- 6x is not the same as 6x - 8).

This expression 8 - 6x must be at least 68 to meet the requirement of being at least a "minimum".

The final inequality will be:   8 - 6x  ≥ 68

Step-by-step explanation:

hope this helps   :)

Answer:

6x-8>=68

Step-by-step explanation:

Luke and Nora can peel 20 carrots in 6 min, working together. Luke can peel 5 carrots in 2 min,
working alone. How many minutes would it take Nora to peel 10 carrots, working alone?

THE ANSWER IS 12

Answers

The answer is 12 carrots

Kim earns $25.00 per hour at her job. How much money will Kim earn if she works
for 8.5 hours?

Answers

Answer:

$212.50

Step-by-step explanation:

So you have to multiply 8.5 by 25 because for every hour she gets $25. And if she works for 8.5 hours then you multiply both numbers to get your answer.

Hope this helps!

please help with geometry! i will give brainlist!

Answers

Answer:

        x = 9,  y = 2.5

Step-by-step explanation:

[tex]m\angle T+m\angle P=180^o\\\\(12x-4)^o+(7x+13)^o=180^o\\\\12^o\cdot x-4^o+7^o\cdot x+13^o=180^o\\\\(12^o+7^o)\cdot x=180^o+4^o-13^o\\\\19^o\cdot x=171^o\\\\x=9[/tex]

[tex]MO=\dfrac{TR+AP}2\\\\\\16y+1=\dfrac{12y+1+18y+6}2\\\\(16y+1)\cdot2=30y+7\\\\32y+2-30y=7\\\\2y=7-2\\\\2y-5\\\\y=2.5[/tex]


[tex] \sqrt{3} \sin(x) - \cos(x) = \sqrt{2} ( < 0 \leqslant x \leqslant 360[/tex]
solve it​

Answers

............!!!!!!!!!

Answer:

Look at the answer above.

Which is the correct Classification of 18

Answers

You forgot to add the attachment?

Answer:

is there something that goes with it or?

Step-by-step explanation:

URGENT!! PLEASE HELP!! What method could be used to prove the below triangles similar?

Answers

Answer:

Step-by-step explanation:

If an = n(an-1) and a1 = 1, what is the value of as?
1) 5
2) 20
3)
120
4) 720

Answers

It should be 3)120 I tried to show the work best as possible just in case

The value of a5 is a5=120.

Here, we have,

given that,

an = n(an-1) and a1 = 1,

now, we have,

a1 = 1

so, we get,

a2 = 2(a1)

    = 2

and, a3 = 3(a2) = 6

a4 = 4(a3) = 24

so, we get,

a5 = 5(a4) = 120

Hence, the value of a5 is a5=120.

To lean more on Arithmetic progression click:

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7/8 x 3/5 simplified

Answers

Answer:

21/40

Step-by-step explanation:

First you multiply the numerators (7 & 3) to get 21, then denominators (8 & 5) to get 40, unfortunately it cannot be reduced

In the scenario that it could be reduced, I was taught to cross reduce. lets say we had 2/8 x 4/6

You could divide by four for the 8 (denominator) and 4 (numerator) getting you 2/4 and 1/6

Then you do the same thing for 2 (numerator) and (6 denominator) so 2/2 is 1 and 6/2 is 3

Leaving you with 1/4 x 1/3 making it easier to multiply, and you don't have to reduce! Hope this helps!!

PLEASEE HELP ASAP ITS DUE
TODAY

Answers

Answer:
Answer D, x > -6

Can yall help me please

Answers

Answer:

6, 7, 2, 3

Step-by-step explanation:

supplementary means that two or more angles add together to equal 180 degrees

a straight line equals 180 degrees so the intersecting of a line creates two angles that are supplementary. That means <5 is supplementary with 6 and 7.

<5=<1 because the lines intersecting it are parrell. Using the same thinking process for angle 1 as above, it is supplementary with 2 and 3. and since 1 is equal to 5 it is also supplementary to 2 and 3.

8(1/2u+3/4)
Use the distributive property to remove the parentheses.
Simplify your answer as much as possible.

Answers

Answer:

4u+3

Step-by-step explanation:  8/1*1/2= 8/2=4u

                                              8/1*3/4= 24/8=3    

What is ¨0.83% of n is 18.26¨ (just tell me the value of n)

Answers

Answer:

N = 2,200

'Percent (%)' means 'out of one hundred':

0.83% = 0.83 'out of one hundred',

p% is read p 'percent',

0.83% = 0.83/100 = 0.83 ÷ 100

Calculate percentage:

'Percentage' is obtained by multiplying 2,200 by 0.83%

0.83% × 2,200 =

(0.83 ÷ 100) × 2,200 =

(0.83 × 2,200) ÷ 100 =

1,826 ÷ 100 =

18.26

Step-by-step explanation:

Hope it is helpful....

Jacob has $50,000 in a savings account. The interest rate is 6% per year and is not
compounded. To the nearest cent, how much interest will he earn in 1 year?

Answers

He will earn $3000 in interest in one year. This is because when you find 6 percent of 50000 it is 3000.

Savannah is 9 years older thanDevante. The sum of their ages is 53. How old are Savannah and Devante?
(A) First write an equation you can use to answer this question. Use x as your variable.
The equation is _______
Answer: Devante is _______
and Savannah is ______

Answers

Answer:

Devante is 23 and Savannah is 32.

Step-by-step explanation:

We can set up a system of equations.

s - savannah's age

d - devante's age

s = d + 9

s + d = 53

Now we can substitute (d + 9) for s in the second equation.

(d + 9) + d = 53

2d + 9 = 53

2d = 46

d = 23

To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)

23 + 9 = 32

s = 32

18 people need to buy tickets in order to get the group rate.Which inequality shows the number of people ,p, that need to buy tickets in order to get the group rate?

Answers

Answer:

[tex]p \ge 18[/tex]

Step-by-step explanation:

The question has missing details. See comment for missing information

Given

[tex]People = 18[/tex] -- at least

Required

Represent as an inequality

In inequalities:

At least means [tex]\ge[/tex] i.e. greater than or equal to

From the question, the number of people is represented with p.

So, at least 18 people is represented as:

[tex]p \ge 18[/tex]

Find the area of the shape shown below

Answers

Answer:

32 square units

Hope it helps!!!

the answer is 32 units 12+4=16 16*4=64 64/2 is 32 units

Find the missing side
13 ft
5 ft
x

Answers

Answer:

Assuming you're referring to the sides of a right triangle, the missing side X would be 12.

Step-by-step explanation:

The Pythagorean Theorem states that the two legs of a right triangle squared and added together is equal to the hypotenuse squared. [tex]13^{2}[/tex] is 169, [tex]5^{2}[/tex] is 25, 169 - 25 = 144. Take the square root of 144 and you'll get 12, which is the missing side of the right triangle.

A contractor must haul a large amount of dirt to a work site. She collected information from two hauling companies. EX Excavation gives its prices in a table. Happy Hauling Service gives its prices in a graph.

Answers

Answer:

$24.5

Step-by-step explanation:

Its $24.5 for the rate of change for EZ Excavation

The  EX Excavation will charge $980 for 40 cubic yards of dirt.

What is unit rate?

A unit rate means a rate for one of something.

Given a graph showing cost for per cubic yard of dirt.

The unit rate = 196/8 = 490/20 = 637/26 = 24.5

Therefore, for 40 cubic yards of dirt = 40*24.5 = 980

Hence, The  EX Excavation will charge $980 for 40 cubic yards of dirt.

For more references on unit rate, click;

https://brainly.com/question/11258929

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1 point
The speed of light is about 3 . 10^8 meters/second. How far is a lightyear?
(How many meters does light travel in one year?)
3.1 x 10^11
6.1 x 10^13
9.5 x 10^15
4.2 x10^16

Answers

3.1 x 10^11 is the answer

What is the slope of the line that passes through the points (-2,-5) and (-3,-6) write your answer in simplest form

Answers

Answer:

y = x - 3

Step-by-step explanation:

Explain whether or not a continuous function can be considered a sequence.

Answers

Answer:

A function is considered continuous when it has no drastic changes in the sequence  known as discontinuities. If not continuous, a function is said to be discontinuous.

40000 people visited the Emirates Park Zoo in Abu Dhabi last Year. Ratio of number of visitors of children to women to men is 4: 7: 9. Find the number of children, women and men who visited the zoo.

Answers

Answer:

40000 total visitors

Step-by-step explanation:

Let p represent a multiplier. Then the total number of visitors to the park is

4p + 7p + 9p = 40000.

This simplifies to 20p = 40000, so that p = 2000.

Then the number of children who visited is 4p = 8000; the number of women is 7p = 14000, and the number of men is 9p = 18000.

Summing up these results gives us the total number of chidren, women and men who visited the zoo last year: 8000 + 14000 + 18000, or 40000.

PLEASE HELP ME ILL GIVE BRAINLY

Answers

Answer:

I will give answers

Step-by-step explanation:

1. b=5

2.g=7

3.t=8

4.r=7

5.r=10

6.f=5

7.t=2.2

8.y=2.9

9.a=4.3

10.b=2/4

11.w=1/14

12.k=2/10

please mark brainliest

Answer:

1. B= 5

2. G= 7

3. T= 8

4. R= 7

5. R= 10

6. F= 5

7. T= 2.2

8. Y= 2.9

9. A= 4.3

10. B= 1/2 (one half)

11. W= 1/14 (one fourteenth)

12. K= 1/5 (one fifth)

13. N= 12

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