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Rama09 [41]
3 years ago
6

There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The fi

rst student is a girl, the second student is a boy, and the third student is a girl. Find the probability of this occuring.
Mathematics
1 answer:
Damm [24]3 years ago
3 0
The probability that the first student is a girl is 5/10.

The probability of the second selection being a boy is 5/9.

(since the first selection was a girl, there are 9 students left) 

The probability that the third student is a girl is 4/8

(there are 4 girls left after one was selected, and 8 students left in total, after the second selection.

The probability is (5/10)(5/9)(4/8)=0.139


Answer: 0.139

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20(20-x)=300 what is x
neonofarm [45]

Answer:

x = 5

Step-by-step explanation:

20(20-x)=300

1. Divide both sides by 20.

20(20-x)/20 = 300/20

2. Simplify.

20-x=15

3. Subtract 20 from both sides.

20-x-29=15-20

4. Simplify.

-x=-5

5. Divide both sides by -1.

-x/-1 = -5/-1

6. Simplify.

x=5

5 0
2 years ago
PLEASE HELP, 30 points AND brainliest if I get an explanation :)
Nostrana [21]

Answer:

Please check the explanation.

Step-by-step explanation:

BLUE PENTAGON

The blue shape represents the Pentagon

The length of the side a = 7

As there are 5 sides.

Thus,

The Perimeter of the Blue Pentagon = P = 5a = 5(7) = 35

Using the formula to determine the area of the Pentagon

 A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:

A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(7\right)^2\:\:\:\:\:\:

A\approx 84.3\:\:\:

Thus,

The Area of the Blue Pentagon = A\approx 84.3\:\:\:

RED PENTAGON

The red shape represents the Pentagon

The length of the side a = 4

As there are 5 sides.

Thus,

The Perimeter of the Red Pentagon = P = 5a = 5(4) = 20

Using the formula to determine the area of the Pentagon

 A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:

A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(4\right)^2\:\:\:\:\:\:

\:A\approx 27.5

The Area of the Red Pentagon = \:A\approx 27.5

<u><em>Conclusion:</em></u>

The Perimeter of the Blue Pentagon =  35

The Perimeter of the Red Pentagon = 20

Thus, the<u><em> ratio of the perimeter</em></u> is: 35/20 = 7/4

The Area of the Blue Pentagon =  84.3 = 843/10

The Area of the Red Pentagon = 27.5 = 275/10

Thus, the<u><em> ratio of the Area</em></u> is:

 \frac{\frac{843}{10}}{\frac{275}{10}}=\frac{843}{275}

7 0
3 years ago
A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?
Sladkaya [172]

Answer:

  • B- 5/1 boards/minutes

Step-by-step explanation:

<u>Unit rate is the number of circuit boards a minute:</u>

  • 25 boards every 5 minutes >>
  • 25/5 boards every 5/5 minutes >>
  • 5/1 boards/minutes

Correct choice is B

3 0
2 years ago
The currency in switzerland is called a franc. On a certain day, one U.S. dollar equaled 1 1/4 swiss france. Write and solve a m
Rufina [12.5K]

Answer:

<u>The equation is x = y * 4/5  and US$ 12 would equal 15 Swiss Francs</u>

Step-by-step explanation:

<u>1. Let's review all the information provided for solving this question:</u>

1 US$ equivalent to 1 1/4  Swiss Franc

2. Let's write and solve a multiplication equation to find the amount  of US$ that would equal 15 Swiss Francs

x = Amount of US$ equivalent

y = Amount of Swiss Francs

x = y /1.25

x = y / 5/4 (1.25 = 5/4)

<u>x = y * 4/5</u>

Now, let's replace with the real values:

x = 15 * 4/5

x = 60/5

<u>x = 12</u>

<u>US$ 12 would equal 15 Swiss Francs</u>

6 0
3 years ago
Help please find the circumference of the circle
GREYUIT [131]

Answer:

10 i believe

Step-by-step explanation:

5 0
2 years ago
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