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Mathematics, 23.01.2020 05:31 sonicshon2

Astudent is applying to two different agencies for scholarships. based on the student’s academic record, the probability that the student will be awarded a scholarship from agency a is 0.55 and the probability that the student will be awarded a scholarship from agency b is 0.40. furthermore, if the student is awarded a scholarship from agency a, the probability that the student will be awarded a scholarship from agency b is 0.60. what is the probability that the student will be awarded at least one of the two scholarships?

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Answer from: erikamaldonado661

Probabilities are used to determine the chances of an event.

The probability that the student will be awarded at least one of the two scholarships is 0.35

The given parameters are:

$\mathbf{P(A) = 0.55}$

$\mathbf{P(B) = 0.40}$

$\mathbf{P(A\ and\ B) = 0.60}$

The probability that the student will be awarded at least one of the two scholarships is P(A or B)

So, we have:

$\mathbf{P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)}$

This gives

$\mathbf{P(A\ or\ B) = 0.55 + 0.40 - 0.60}$

$\mathbf{P(A\ or\ B) = 0.35}$

Hence, probability that the student will be awarded at least one of the two scholarships is 0.35

Read more about probabilities at:

link

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Answer from: Thejollyhellhound20

There is a 62% probability that the student will be awarded at least one of the two scholarships.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that the student gets a scolarship from Agency A.

B is the probability that the student gets a scolarship from Agency B.

We have that:

$A = a + (A \cap B)$

In which a is the probability that the student will get an scolarship from agency A but not from agency B and $A \cap B$ is the probability that the student will get an scolarship from both agencies.

By the same logic, we have that:

$B = b + (A \cap B)$

What is the probability that the student will be awarded at least one of the two scholarships?

This is

$P = a + b + (A \cap B)$

We have that:

A = 0.55, B = 0.40

If the student is awarded a scholarship from Agency A, the probability that the student will be awarded a scholarship from Agency B is 0.60.

This means that:

$\frac{A \cap B}{A} = 0.6$

$A \cap B = 0.6A = 0.6*0.55 = 0.33$

----------

$A = a + (A \cap B)$

0.55 = a + 0.33

a = 0.22

--------

$B = b + (A \cap B)$

0.40 = b + 0.33

b = 0.07

$P = a + b + (A \cap B) = 0.22 + 0.07 + 0.33 = 0.62$

There is a 62% probability that the student will be awarded at least one of the two scholarships.

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Answer from: Quest

Istg idk..if there all the same length there all the same number but use google
How do you find the area of similar figures given a side length?

How do you find the area of similar figures given a side length?

ansver

Answer from: Quest

the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72

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