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2 years ago

The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many

Mathematics

1 answer:

Law Incorporation [45]2 years ago

5 0

Answer:

There are 25 girls in the class.

Step-by-step explanation:

Number of girls=5x

Number of boys=3x

Number of students in the class= 5x+3x=8x=40

So, x= 40/8=5

Number of girls= 5x=5*5=25

Therefore, there are 25 girls in the class.

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Suppose box A contains 4 red and 5 blue poker chips and box B contains 6 red and 3 blue poker chips. Then a poker chip is chosen

sergejj [24]

Answer:

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Coin chosen from box B is red.

Event B: Blue poker chip transferred.

Probability of choosing a red coin:

7/10 of 4/9(red coin from box A)

6/10 of 5/9(blue coin from box A). So

$P(A) = \frac{7}{10}*\frac{4}{9} + \frac{6}{10}*\frac{5}{9} = \frac{28 + 30}{90} = 0.6444$

Blue chip transferred, red coin chosen:

6/10 of 5/9. So

$P(A \cap B) = \frac{6}{10}*\frac{5}{9} = \frac{30}{90} = 0.3333$

What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3333}{0.6444} = 0.5172$

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

5 0

2 years ago

Find the area of the regular polygon. Round to the nearest tenth.

JulsSmile [24]

Answer:

$110.9\ ft^{2}$

Step-by-step explanation:

we know that

If the triangle of the figure is a regular polygon

then

Is an equilateral triangle

Remember that

The equilateral triangle has three equal sides and three equal interior angles

The measure of each interior angle is 60 degrees

To find the area of the equilateral triangle apply the law of sines

$A=\frac{1}{2} b^{2}sin(60\°)$

we have that

$b=16\ ft$

substitute

$A=\frac{1}{2} (16^{2})sin(60\°)=110.9\ ft^{2}$

8 0

2 years ago

PLEASE HELP ME

Kitty [74]

Answer:

hope it help^_^(♡˙︶˙♡)

5 0

2 years ago

A new truck costs $32,000 if the truck is worth 24,500 after three years write an explicit formula for the value of the car afte

Debora [2.8K]

Answer:

Step-by-step explanation:

depreciation for three years = 32000 - 24500 = $ 7500

depreciation per year = 7500/3 = $ 2500

depreciation % = (2500/32000)*100 = 7.81%

Value of truck after n years = 32000 * (7.81%)*n

8 0

2 years ago

Anyone got an answer for this math question?

Dennis_Churaev [7]

Answer:

So you have a scale

you multiply: 8×(3/4)

And your x= 6

6 0

3 years ago