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jek_recluse [69]
3 years ago
10

Decide if the situation involves​ permutations, combinations, or neither. Explain your reasoning. The number of ways a four dash

member committee can be chosen from 13 people. Does the situation involve​ permutations, combinations, or​ neither?
Choose the correct answer below.

a. Combination. The order of the committee members does not matter.

b. Permutation. The order of the committee members matters.

c. Neither A line of people is neither an ordered arrangement of objects, nor a selection of objects from a group of objects.
Mathematics
1 answer:
TEA [102]3 years ago
6 0

Answer: a. Combination. The order of the committee members does not matter.

Step-by-step explanation:

From the question we were only asked to look for a way to select four people from a 13 members committee the order for which it is selected wasn’t stated this makes it a perfect combination problem. Because permutations always have to do with order.

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David will spend at most $39 on gifts. So far, he has spent $22. What are the possible additional amounts he will spend? Use c f
iren2701 [21]

Answer:

c\leq \$17

Step-by-step explanation:

Let

c -----> the additional amount (in dollars) David will spend

we know that

The word " at most" in this context means "less than or equal to"

The amount David has spent plus possible additional amounts he will spend must be less than or equal to $39

so

The inequality that represent this situation is

22+c\leq 39

solve for c

subtract 22 both sides

c\leq 39-22

c\leq \$17

The maximum amount he could spend is $17

7 0
3 years ago
Chen kept track of how many baskets were made in a basketball game. After 6 minutes, 5 baskets were made. How long did it take u
Mekhanik [1.2K]

Answer:

Assuming the same pace was kept, it would take 9.6 minutes.

Step-by-step explanation:

We can find this by setting up a proportion and then cross multiplying.

5 baskets/6 mins = 8 baskets/x mins

5 * x = 6 * 8

5x = 48

x = 9.6

5 0
3 years ago
Volume of a cone
Monica [59]

Answer:

Answer

Step-by-step explanation:

Answered below :

V

=

π

r

2

h

3

6 0
2 years ago
Read 2 more answers
A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 14

Variance is 9.

The standard deviation is the square root of the variance.

So

\sigma = \sqrt{9} = 3

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{12 - 14}{3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

6 0
3 years ago
PLEASE HELP QUICK
faust18 [17]

in(36)=h/220 ft

220 ft/in(36) = h

h=129.3 ft


3 0
3 years ago
Read 2 more answers
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