What is the sum of |–8| and (the opposite of 6)

There are ten candidates for a job. The search committee will choose three of them, and rank the chosen three from strongest to

saul85 [17]

Answer:

720

Step-by-step explanation:

Since we are choosing a subset of 3 people from a set of 10 people, and arranging the 3 people according to relative strength, the answer can be obtained by computing P(10,3).

P(10,3)=10! / (10-3)!

= 10!/7!

Rewrite 10 ! as

10 * 9 * 8 * 7 ! / 7!

Cancel the common factor of 7 ! and divide ( 10 * 9 * 8 ) by 1

10 * 9 * 8 = 720

8 0

3 years ago

PLEASE HURRY!!!!

Pavel [41]

Answer:

D

Step-by-step explanation:

You are going to roll two dice.

If you roll one die, then there are 6 possible outcomes: $1, 2, 3, 4, 5, 6$

If you roll two dice, then there are $6\times 6=36$ possible outcomes:

$\begin{array}{cccccc}1-1&1-2&1-3&1-4&1-5&1-6\\ \\2-1&2-2&2-3&2-4&2-5&2-6\\ \\3-1&3-2&3-3&3-4&3-5&3-6\\ \\4-1&4-2&4-3&4-4&4-5&4-6\\ \\5-1&5-2&5-3&5-4&5-5&5-6\\ \\6-1&6-2&6-3&6-4&6-5&6-6\end{array}$

Here the first number is the number rolled on the first die, the second number is the number rolled on the second die.

5 0

3 years ago

Read 2 more answers

Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete

icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

In this question:

Fleet of 17 means that $N = 17$

4 are carrying nucleas weapons, which means that $k = 4$

9 are destroyed, which means that $n = 9$

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X > 1) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294$

$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588$

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0

3 years ago

What is the midpoint of the segment below?

In-s [12.5K]

Answer:

Your answer is A.(7,3)

7 0

2 years ago

A water tank in Stewart's

lara [203]

The change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

Since a water tank in Stewart's home had a small, steady leak loss of 1 3/5 mL in 10 min, to find the change in the volume of water in 1 minute, the following calculation must be performed:

The total leak must be calculated and divided by the 10 minutes duration.
3/5 = 0.6
1 + 0.6 = 1.6
1.6 / 10 = 0.16

Therefore, the change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

Learn more in brainly.com/question/19747831

3 0

2 years ago