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fredd [130]
2 years ago
12

One less than twice a number is four less than its square.

Mathematics
1 answer:
IrinaK [193]2 years ago
8 0

Answer:

The correct answer is 3.

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A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial off
Zolol [24]

Answer:

(a) There are 32,760 different ways to appoint the officers.

(b) 3003 different ways can the committee be​ appointed.

(c) ​Probability of getting the five youngest of the qualified ​candidates is 0.00033.

Step-by-step explanation:

We are given that a corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial officer​ (CFO). It must also appoint a planning committee with five different members.

There are 15 qualified​ candidates, and officers can also serve on the committee.

(a) The number of officers are 4, i.e; A president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial officer​ (CFO).

There are 15 qualified candidates.

To find the number of ways to appoint the officers, we will use permutation because here the order of selecting the officer's matters.

So, the number of ways to appoint the officers = ^{15}\text{P}_4

            =  \frac{15!}{(15-4)!}              {\because  ^{n}\text{P}_r = \frac{n!}{(n-r)!} }

            =  \frac{15!}{11!}  =  32,760 ways

(b) The number of committee numbers to appoint include five members.

There are 15 qualified candidates.

To find the number of ways in which the committee can be​ appointed, we will use combination because here the order of selecting the members doesn't matter.

So, the number of ways to appoint the committee = ^{15}\text{C}_5

            =  \frac{15!}{5! \times (15-5)!}              {\because  ^{n}\text{C}_r = \frac{n!}{r! \times (n-r)!} }

            =  \frac{15!}{5! \times 10!}  =  3003 ways

(c) The probability of randomly selecting the committee members and getting the five youngest of the qualified​ candidates is given by;

Number of ways of selecting the committee = 3003

Selecting the five youngest of the qualified​ candidates = 1

So, the required probability =  \frac{1}{3003}

                                              =  <u>0.00033</u>

4 0
3 years ago
What is 45*90<br><br><br><br>Answer: 4,050
konstantin123 [22]

Answer:

?wdym

Step-by-step explanation:

5 0
2 years ago
How to solve this problem<br> -3 1/3 x (-2 7/10)
xz_007 [3.2K]

Answer: 9

Step-by-step explanation:

-3 1/3 x (-2 7/10)

-3  = -3*(3/3) = -9/3

-3 1/3 = -10/3

(-2 7/10)

-2  = -2(10/10) = -20/10

-2 7/10 = -27/10

(-10/3)*(-27/10) = (270/30) = 9

8 0
3 years ago
Five times a number plus 5 has the same value as twice the number plus 10
NemiM [27]

Answer: x=5/3

Step-by-step explanation:

For this problem, we can use teh information given to write out an equation and solve. Let's use x for the unknown number.

5x+5=2x+10

The left side of the equation comes from the part that says "five times a number plus 5". That is modeled above. The right side of the equation comes from "has the same value as twice the number plus 10".

5x+5=2x+10                     [subtract both sides by 2x]

3x+5=10                           [subtract both sides by 5]

3x=5                                [divide both sides by 3]

x=5/3

Now, we have found the unknown number, x=5/3.

6 0
3 years ago
Write a real world problem that compares 0.4 and 0.29. Then solve the problem.
ira [324]
Lizzy's new neckalce cost 0.4 cents less than lucy's neckalce that cost 0.29. cents.How many cents did lizzy's neckalce cost.
5 0
3 years ago
Read 2 more answers
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