The probability of a randomly selected employee of a company being male is 60%. The probability of the employee being less than 30 years old is 70%. If the probability of the employee being less than 30 years old given that the employee is a male is 40%, what is the probability that the employee is a male, given that the employee is less than 30 years old?Show your work.

Answers

Answer 1

Answer: By the definition of conditional probability,

$\mathbb P(<\text{30}|\text{male})=\frac{\mathbb P(<\text{30}\cap\text{male})}{\mathbb P(\text{male})}$

which means

$\frac{\mathbb P(<\text{30}\cap\text{male})}{0.6}=0.4\implies \mathbb P(<\text{30}\cap\text{male})=0.24$

This then means

$\mathbb P(\text{male}|<\text{30})=\frac{\mathbb P(\text{male}~\cap<\text{30})}{\mathbb P(<\text{30})}=(0.24)/(0.7)\approx0.34$

Answer 2

Answer:

The probability of randomly selected employee shows the happening of that event. The probability that the employee is a male, given that the employee is less than 30 years old is 0.34.

What is Conditional probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

The probability of event A, given that the event B is occurred.

$P(A|B)=(P(A\cap B))/(P(B))$

Given information-

The probability of a randomly selected employee of a company being male is 60%.

The probability of the employee being less than 30 years old is 70%.

The probability of the employee being less than 30 years old (employee is a male) is 40%.

The probability that the employee is a male, given that the employee is less than 30 years old has to be find out.

As, the probability of a randomly selected employee of a company being male is 60% and the probability of the employee being less than 30 years old (employee is a male) is 40%.

Thus the probability of employee is less than 30 years old given that the employee is male is,

$P(<30|M)=0.4*0.6\nP(<30|M)=0.24\n$

As the probability of the employee being less than 30 years old is 70%. Thus, the probability that the employee is a male, given that the employee is less than 30 years old is,

$P(M|<30)=(0.24)/(0.7)\nP(M|<30)\cong0.34$

Hence the probability that the employee is a male, given that the employee is less than 30 years old is 0.34.

Learn more about the probability here;

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What is another way to write 4 hundreds?

Answers

There is 3 form that mostly used in math: standard form, expanded form and word form. In this question, 4 hundred would be word form. So, to write 4 hundred in a different form the answer would be:

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If two 6-sided number cubes are rolled, what is the probability that a 2 is rolled on the first cube and a 5 is rolled on the second cube?

Answers

There are 6 sides on the number cubes, numbered 1-6.

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P(2)=1/6

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Find the side length and round your answer to the nearest hundredth.

Answers

Answer:

√180 or 5√6

Step-by-step explanation:

Plug in: a^+b^2=c^2

a^2+12^2=18^2

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Solve the equation.x^2 = 150

A. ± 25√6

B. 15

C. -15,15

D. ± 5√6

Answers

x^2 = 150
√x^2 = √150
x = 5√6 (or) ≈12.25

HOPE THIS HELPS!!!!

Hi Brainiac

x²= 150

Just take the square root of 150

x= +/- 5√6 or x= -5√6

I hope that's help:0

Jamaal buys his clothes at Super Discounts. On Saturday, he bought shoes regularly priced at $40 for 25% off, and a jacket regularly priced at $100 for 30% off. Including a 6% sales tax, what total amount will Jamaal pay?

Answers

100-25=75%

$40-100%
$ x -75%

100x=3000
x=$30

100-30=70%

$100-100%
$ y - 70%

100y=7000
y=$70

total: x+y=70+30=$100

+ sales tax
100% +6%=106%

$100-100%
$ z - 106%

10600=100z
z=$106

Answer: Jammal will pay $106.

He would pay $30 for the shoes, and $70 for the jacket.

So, in total 106.

Please help asap its due in one minuteLarry’s Landscaping charges $235 for spring cleanups and $30 for weekly lawn maintenance. Joe’s Landscaping charges $185 for spring cleanups and $35 for weekly lawn maintenance. The system that models this situation is given, where c is the cost of lawn maintenance and w is the number of weeks.
c = 235 + 30w
c = 185 + 35w
The solution to the system is (10, 535).
Which interpretation correctly describes the solution to the system of equations?
a. Larry’s Landscaping will charge more money on the tenth week by charging $535.
b. Joe’s Landscaping will charge more money on the tenth week by charging $535.
c. The cost for lawn maintenance is the same, $535, for both landscaping companies after 10 wk.
d. A customer can have his or her lawn maintained for a maximum of 10 wk. The customer will pay a total of $535.

Answers

The first thing you would do is substitute the 10 in for 'w' and 535 in for 'c'.
535 = 235 + 30(10)
535 = 185 + 35(10)
Then, you would just solve the equations.
535 = 235 + 30(10)
30(10) = 300
300 + 235 = 535
So the first equation is true, and we know for a fact that Larry's Landscaping charges $535 for a spring cleaning and weekly yard maintenance for 10 weeks.
On to the next equation.
535 = 185 + 35(10)
35(10) = 350
185 + 350 = 535
So, the second equation is true also. And we also know for a fact that Joe's Landscaping charges $535 for a spring cleaning and weekly yard maintenance for 10 weeks.
So, now that we know that they will end up charging the same amount of money for a spring cleaning and weekly yard maintenance, the only answer that fits that is C. The cost for lawn maintenance is the same, $535, for both landscaping companies after 10 weeks.
Hope this helps!

535 for both in ten weeks sorry if I am lake took a while to think.

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