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Andrei [34K]
2 years ago
6

Mr. Ramsey has 14 girls and 10 boys in her class she will randomly create one group of three students to work on a project what

is a probability that the group will be all girls?
Mathematics
1 answer:
Mrrafil [7]2 years ago
4 0

The probability that the group will be all girls is 91/506

<h3 /><h3>Number of ways of selecting 3 students out of the total</h3>

Since there are 14 girls and 10 boys, the total number of students is 10 + 14 = 24.

So, the total number of ways of selecting 3 students from 24 is ²⁴C₃.

<h3 /><h3>Number of ways of selecting 3 girls out of 14</h3>

Also, the total number of ways of selecting a group of 3 of all girls out of the 14 girls is ¹⁴C₃ = 14

<h3 /><h3>Probability of all girls</h3>

So, the probability of selecting a group of 3 of all girls = number of ways of selecting 3 girls/total number of selections = ¹⁴C₃ ÷ ²⁴C₃

= 14 × 13 × 12/3! ÷ 24 × 23 × 22/3!

= 7 × 13/23 × 22

= 91/506

So, the probability that the group will be all girls is 91/506

Learn more about probability here:

brainly.com/question/24756209

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Brrunno [24]
I hope this helps you


0,644


644/1000


161/250
4 0
2 years ago
The measure of angle P is five less than four times the measure of angle Q. Of angle P and angle Q are supplementary angles, fin
Andru [333]

Answer:

m∠P=140°

Step-by-step explanation:

Given:

∠P and ∠Q are supplementary angles.

The measure of angle P is five less than four times the measure of angle Q.

To find m∠P

Solution:

The measure of angle P can be given as:

A) m\angle P=4(m\angle Q-5)

And

B) m\angle P+ m\angle Q=180 [Definition of supplementary angles]

Substituting equation A into B.

4(m\angle Q-5)+ m\angle Q=180

Solving for m\angle Q

Using distribution:

4m\angle Q-20+ m\angle Q=180

Simplifying by combining like terms.

5m\angle Q-20=180

Adding 20 to both sides.

5m\angle Q-20+20=180+20

5m\angle Q=200

Dividing both sides by 5.

\frac{5m\angle Q}{5}=\frac{200}{5}

m\angle Q=40

Substituting m\angle Q=40 in equation B.

m\angle P+ 40=180

Subtracting both sides by 40.

m\angle P+ 40-40=180-40

m\angle P=140

Thus, we have:

m∠P=140° (Answer)

7 0
3 years ago
The price of a microwave oven went up from $75 to $90; then went on sale for $57. What is the percent decrease from the original
Arisa [49]

Answer:

<u>The percent decrease of the microwave from the original price to the sale price is 24%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Original price of a microwave = $ 75

Mark-up price of the microwave = $ 90

Sale price of the microwave = $ 57

2. What is the percent decrease from the original price to the sale price?

For answering this question we will use the Direct Rule of Three this way:

Price         Percentage

75                 100%

57                   x

75x = 57 * 100

75x = 5,700

x = 5,700/75

x = 76

76 = 100 - 24

<u>The percent decrease of the microwave from the original price to the sale price is 24%</u>

5 0
3 years ago
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Represents the distance between -12 and -5 on a number line?
aivan3 [116]
7 units between -12 and -5
3 0
3 years ago
Helppppppppp please<br>thanks ​
tester [92]

Answer:

Here is the answer

Step-by-step explanation:

4^4/(6^6)

3 0
1 year ago
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