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Monica [59]
3 years ago
10

In a city school, 60% of students have blue eyes, 55% have dark hair, and 35% have blue eyes and dark hair. What is the probabil

ity (rounded to the nearest whole percent) that a randomly selected student will have dark hair, given that the student has blue eyes?
Hint:
P(A|B)=P(A∩B) / P(B)

64%

58%

80%

20%
Mathematics
1 answer:
gulaghasi [49]3 years ago
5 0

Answer:

58%

Step-by-step explanation:

This is a problem of conditional probability.

Let A represent the event that student has dark hair.

So P(A) = 55% = 0.55

Let B represents the event that student has blue eyes.

So, P(B) = 60% = 0.60

Probability that student has blue eyes and dark hairs = P(A and B) = 35% = 0.35

We are to find the probability that a randomly selected student will have dark hair, given that the student has blue eyes. Using the given formula and values, we get:

P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\ P(A|B)=\frac{0.35}{0.60}\\\\ P(A|B)=0.58

Therefore, there is 0.58 or 58% probability that the student will have dark hairs, given that the student has blue eyes.

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The hypotenuse of a right triangle measures 14 cm and one of its legs measures 1 cm. Find the measure of the other leg. If neces
torisob [31]

Answer:

b=14 cm

Step-by-step explanation:

Use pythagorean equation

A^2+b^2=c^2

1^2+b^2=14^2

1+b^2=196

b^2=195

b=13.964

7 0
2 years ago
A company has $14,000 in liabilities and $15,000 in equity. Calculate the company's debt to equity ratio as a percentage.
liberstina [14]

The required debt-equity ratio is 14:15

<u>Solution:</u>

<em>Given:</em>

Liabilities of the company = $14000

Equity of the company = $15000

<em>To calculate: </em>The debt-equity ratio

Here, the liabilities are included in the debt of the company. The debt-to-equity (D/E) ratio is calculated by dividing a company's total liabilities by its shareholder equity. Therefore, the debt equity ratio is as follows,

\text { Debt Equity ratio }=\frac{\text { Debt }}{\text { Equity }}=\frac{14000}{15000}=\frac{14}{15}

\text { Debt Equity ratio }=\frac{14}{15} \rightarrow 14: 15

The debt-equity ratio reflects the ability of shareholder equity to cover all outstanding debts in the event of a business downturn.

5 0
3 years ago
Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away. She is _____ per
valkas [14]

Answer:

Tiffany is 34% closer to the school.

Step-by-step explanation:

Given the statement: Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away.

She lived away from the school = 15 km

as, she moved 9.9 km away.

Now, the distance closer to school from where she lived = 15 -9.9 = 5.1 km

To, find how much percent she is closer to school.

Percent states that a number or ratio expressed as a fraction of 100.

percent = \frac{5.1}{15} \times 100 = \frac{51 \times 100}{150} = \frac{51 \times 10}{15}

Simplify:

percent closer to school = 34%

Therefore, she is 34% closer to the school.



5 0
3 years ago
TAKE ANY UNMARKED BOWL OR GLASS AND FILL IT EXACTLY 3/5 FULL WITH WATER.
Wittaler [7]

Answer:

Take a glass, and fill it completely with water.

Now, pour that water in a marked bowl and measure how much water is in the bowl, that amount of water will be 100% of the total water that the glass can have.

Now you need to pour 3/5 of the water back in the glass, it is easier for water until the water in the bowl is exactly 2/5 of the initial amount.

You can do this as follows.

2/5 = 0.4 or 40% in percentage form.

Then if the amount of water in the marked bowl is A, the amount of water that must remain in the marked bowl is A*0.4

Then drop the water in the glass until the water in the marked bowl is the quantity that you found previously.

In this way, you can be sure that the glass is 3/5 full of water.

8 0
3 years ago
Please answer this correctly without making mistakes
faltersainse [42]

Answer:

so to get a third you divide it by 3

first convert it to fraction

so it is 26/3

so do 26/3 divided by 3

so we do keep switch flip

26/3*1/3

so answer is 26/9 or 2 8/9

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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