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Snowcat [4.5K]
1 year ago
14

Out of 498 applicants for a job, 187 have over 10 years of experience and 127 have over 10 years of experience and have a gradua

te degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience
Mathematics
1 answer:
Kitty [74]1 year ago
3 0

Answer:

the probability that randomly selected applicants over 10 years of experience is 0.6791

Step-by-step explanation:

The computation of the probability that randomly selected applicants over 10 years of experience is as follows:

Total would be

= 187 have 10 + years experience

Now

P(graduate | 10+) = (graduate and 10+ years experience) ÷ (10 + years of experience)

= 127 ÷ 187

= 0.6791

Hence, the probability that randomly selected applicants over 10 years of experience is 0.6791

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Problem 5 (4+4+4=12) We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely. 1) Fin
tekilochka [14]

Answer:

1

p(b) =  \frac{1}{6}

2

p(k) =  \frac{1}{3}

3

P(a) =  \frac{1}{3}

Step-by-step explanation:

Generally when two fair 6-sided dice is rolled the doubles are

(1 1) , ( 2 2) , (3 3) , (4 4) , ( 5 5 ), (6 6)

The total outcome of doubles is N = 6

The total outcome of the rolling the two fair 6-sided dice is

n = 36

Generally the probability that doubles (i.e., having an equal number on the two dice) were rolled is mathematically evaluated as

p(b) =  \frac{N}{n}

p(b) =  \frac{6}{36}

p(b) =  \frac{1}{6}

Generally when two fair 6-sided dice is rolled the outcome whose sum is 4 or less is

(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)

Looking at this outcome we see that there are two doubles present

So

The conditional probability that doubles were rolled is mathematically represented as

p(k) =  \frac{2}{6}

p(k) =  \frac{1}{3}

Generally when two fair 6-sided dice is rolled the number of outcomes that would land on different numbers is L = 30

And the number of outcomes that at least one die is a 1 is W = 10

So

The conditional probability that at least one die is a 1 is mathematically represented as

P(a) =  \frac{W}{L}

=> P(a) =  \frac{10}{30}

=> P(a) =  \frac{1}{3}

3 0
2 years ago
The parent function f(x) = x3 is transformed to g(x) = (x – 1)3 + 4. Identify the graph of g(x).
Dominik [7]

we have f(x)=x^3 which is a cubic function.

and =(x-1)^3+4.

from f(x) and g(x) we know that both are cubic and g(x) has shrink of 1 and up by 4 units in x axis .

4 0
2 years ago
Read 2 more answers
Calculate δe, if q= 0.764 kj and w= -830 j . express your answer using two significant figures.
Deffense [45]
Given:
Q = 0.0764 kJ = 764 J, heat input
W = -830 J, useful work done

From the 1st Law of Thermodynamics, the change in internal energy is
δE = Q - W
     = 764  - (-830)
     =  1594 J = 1.594 kJ

Answer: 1.59 kJ (two sig. fig.)
8 0
2 years ago
George is saving for a mortgage on a $125,000 house. He needs 20 percent for a down payment. He currently has $22,000. How long
Katarina [22]
<span>George will have enough money in 3 years. This is because at 5 percent interest per year, in one year he will have $23,100. In two years, he will have $24,155. In 3 years he will have $25,362.75 which will put him slightly over his goal of a 20% down payment.</span>
3 0
2 years ago
Read 2 more answers
The diagonals of kite ABCD intersect at E. If ∡EBC=30°, what is ∡BCE?
lukranit [14]

Answer:

∡BCE = 60

Step-by-step explanation:

Here, we want to find the angle marked BCE

From our diagram, the angle marked BCE is y

Looking at triangle BCE, we have the right angle, an angle measure of 30 and the angle marked y which we say is BCE

mathematically, the sum of all these will give 180 as the sum f the interior angles of a triangle is 180

Thus, we have that;

y + 30 + 90 = 180

y = 180-120

y = 60

8 0
1 year ago
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