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matrenka [14]
3 years ago
13

Micheal has 4 red shirts, 3 green shirts, and 5 blue shirts in his closet. If he randomly selects a shirt, what is the probabili

ty he chooses green or red.
a) 1/3
b) 1/4
c) 5/12
d) 7/12
Mathematics
1 answer:
LenKa [72]3 years ago
8 0

Answer:

D. 7/12

Step-by-step explanation:

First, find the total number of shirts in his closet:

4 + 3 + 5

= 12

Now, find how many are green or red:

4 + 3

= 7

Since 7 out of 12 shirts are green or red, the probability that Micheal chooses green or red is D. 7/12

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Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the
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Answer:

\frac{48+5j}{j}

Step-by-step explanation:

<u>Complete Question:</u>

Angela shared a cab with her friends . When they arrived at their destination, they evenly divided the $48 fare among "j" of them . Angela gave the cab $5 tip. How much did Angela pay in total?

<u>Solution:</u>

The fare was $48 and including Angela, there were j people, so each paid:

48/j

Also, Angela paid $5 additionally.

So, Angela paid:

48/j  ---  when dividing evenly

5  ---   as a tip

Total Angela Paid:  =\frac{48}{j}+5\\=\frac{48+5j}{j}

Total Payment:  \frac{48+5j}{j}

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which pair of these points defines a line with a slope 2/3? A. (2, 6) and (3, 0) B. (6, 2) and 3, 0) C. (6, 2) and (0, 0) D. (2,
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Answer:

B. (6,2) and (3,0)

Step-by-step explanation:

To find the slope the equation is \frac{y_{2-y_{1} } }{x_{2} -x_{1} } so for (6,2) and (3,0) the equation would look like this \frac{0-2}{3-6} which simplies down to \frac{-2}{-3} and a negative divided by a negative is a positive so you're slope is \frac{2}{3} and it matches the question.

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A club consists of 21 Republicans and 25 Democrats. If four people are chosen at random to be on a​ committee, what is the proba
Allushta [10]

Answer:

88.58% probability that at least one person from each political party will be​ chosen

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Also, the order which the people are chosen is not important. So the combinations formula is used to solve this problem.

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)!}

If four people are chosen at random to be on a​ committee, what is the probability that at least one person from each political party will be​ chosen?

Either only Republicans or Democrats are chosen, or at least one member from each party is chosen. The sum of these probabilities is 100%.

The easier way to solve this is first finding the probability that members are only from one party.

Probability of having members from only one party:

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4 from a set of 25.

Only Republican:

4 from a set of 21.

So

D = C_{25,4} + C_{21,4} = \frac{25!}{4!21!} + \frac{21!}{4!17!} = 18635

Total outcomes:

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T = C_{46,4} = \frac{46!}{4!42!} = 163185

Probability:

p = \frac{D}{T} = \frac{18635}{163185} = 0.1142

11.42% probability of having people from only one party in the committee

Probability of at least one person from each party:

p + 11.42 = 100

p = 88.58

88.58% probability that at least one person from each political party will be​ chosen

5 0
3 years ago
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