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natulia [17]
3 years ago
13

According to the record of the registrar's office at a state university, 35% of the students arefreshman, 25% are sophomore, 16%

are junior, and the rest are senior. Among the freshmen,sophomores, juniors, and seniors, the portion of students who live in the dormitory are,respectively, 80%, 60%, 30%, and 20%. What is the probability that a randomly selected studentis a freshman who lives in a dormitory?
A) 0.28
B) 0.32
C) 0.52
D) 0.38
Mathematics
1 answer:
Art [367]3 years ago
6 0

Answer:

the probability is 0.28

Step-by-step explanation:

using Bayes's theorem

P(A|B)=P(A∩B)/P(B)

where

P(A∩B) = probability that events A and B happen

P(A|B) = probability that event A happen if B already happened

P(B)= probability of event B

therefore

P(A∩B)=P(A|B)*P(B)

if event A= selection of a student that lives in a dormitory  and event B = selection of a freshmen student

P(A|B) = 0.8 (live in a dormitory knowing that is a freshmen student )

P(B) = 0.35 (freshmen student)

P(A∩B)=P(A|B)*P(B) = 0.8* 0.35 =0.28

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Step-by-step explanation:

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How do you solve 4x+10=3x+37
lisov135 [29]

Answer:

x = 27

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x + 10 = 3x + 37

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 3x on both sides:                    x + 10 = 37
  2. Subtract 10 on both sides:                     x = 27

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    4(27) + 10 = 3(27) + 37
  2. Multiply:                        108 + 10 = 81 + 37
  3. Add:                               118 = 118

And we have our final answer!

7 0
3 years ago
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