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3 years ago

A book club has 10 members.How many ways can they choose a president, vice president, and secretary from among the members?

2 answers:

8 0

A.
30

B.
120

C.
720

D.
100 720 possible combinations if each post is held by one person.
90 possible combinations if one person can have two positions.
10 possible combinations if one person can hold all three.

igor_vitrenko [27]3 years ago

7 0

Assuming that each person holds 1 positiion

slot metho
3 slots (pres, vice, sec)
1st slot:10 optoins
2nd slot:9 ooptions(1 gone to 1st slot)
3rd slot:8 options (1 gone to 1st and 1 to 2nd)

multiply
10*9*8=720

720 ways

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What is the exact volume of a sphere with a diameter of 18 cm? ______ cm3

madam [21]

The formula to find the volume of a sphere is: V= $\frac{4}{3} \pi r^{3}$
Since the diameter is 18 cm, so the radius is equal to r=18/2 = 9
Now we replace r by it's value, so we get:
$\frac{4}{3} \pi 9^{3}$
$\frac{4}{3} \pi 729$
$972 \pi$
And we get approximately $3053.63 cm^{3}$
Hope this Helps :D

4 0

3 years ago

Find the sum of (x + 5),(-4x - 2) and (2x - 1)

Elina [12.6K]

Answer:

-x + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

(x + 5) + (-4x - 2) + (2x - 1)

Step 2: Simplify

Combine like terms (x): -x + 5 - 2 - 1
Combine like terms (Z): -x + 2

7 0

3 years ago

Read 2 more answers

It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the

son4ous [18]

Answer:

85.56% probability that less than 6 of them have a high school diploma

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

50% of adult workers have a high school diploma.

This means that $p = 0.5$

If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma

This is P(X < 6) when n = 8.

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{8,0}.(0.5)^{0}.(0.5)^{8} = 0.0039$

$P(X = 1) = C_{8,1}.(0.5)^{1}.(0.5)^{7} = 0.0313$

$P(X = 2) = C_{8,2}.(0.5)^{2}.(0.5)^{6} = 0.1094$

$P(X = 3) = C_{8,3}.(0.5)^{3}.(0.5)^{5} = 0.2188$

$P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734$

$P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0039 + 0.0313 + 0.1094 + 0.2188 + 0.2734 + 0.2188 = 0.8556$

85.56% probability that less than 6 of them have a high school diploma

7 0

3 years ago

There are 8 runners in a race.

lesya692 [45]

STEP 1:
Total runners originally= 8
# of runners to receive trophies= 4

8-2 drop outs= 6 runners total now

STEP 2:
= # of trophies ÷ total runners now
= 4/6
simplify by 2
= (4÷2)/(6÷2)
= 2/3 runners

ANSWER: 2/3 of the remaining runners will win a trophy.

Hope this helps! :)

6 0

3 years ago

Simplify the expression. 7x+3(x-2)-4x+8 please help quickly!!!

ludmilkaskok [199]

7x + 3(x-2) - 4x + 8

7x + 3x - 6 - 4x + 8

6x + 2

4 0

3 years ago

Read 2 more answers