All categories

3 years ago

Probability, help, please

Mathematics

1 answer:

Butoxors [25]3 years ago

5 0

Problem 1

<h3>Answer: Choice A) 1/3</h3>

-------------------

Explanation:

The notation "P(tune-ups | AC repair)" is the same as saying "P(tune-ups given AC repair)".

The "given" means we only focus on the "AC repair" circle.

Add up the numbers in that circle to get: 1+3+2+0 = 6

There are 6 ASE certified mechanics that can do AC repair.

Of those 6 people, only 2+0 = 2 can do engine tune-ups. Note I added the values in the "AC repair" and "tune-ups" overlapped region.

Therefore, we get the probability 2/6 = 1/3

==========================================================

Problem 2

<h3>Answer: B) 2/3</h3>

-------------------

Explanation:

First, we'll add the numbers found in either the "brakes" or "tune-ups" circles.

4+1+2+2+3+0 = 12

There are 12 mechanics that can handle brakes or tune-ups or both.

Now add up all of the numbers shown regardless of their location. We have 4+1+3+2+2+0+3+3 = 18 mechanics total.

So,

m = number who can do brakes or tune-ups or both

m = 12

n = number of mechanics total

n = 18

And,

P(brakes or tune-ups) = m/n

P(brakes or tune-ups) = 12/18

P(brakes or tune-ups) = (6*2)/(6*3)

P(brakes or tune-ups) = 2/3

You might be interested in

A parking garage charges four dollars each hour, but parking is free for the first hour. What expression can I use to match the

EleoNora [17]

Answer:

4x-4

Step-by-step explanation:

7 0

3 years ago

Which of the following describe the cohesion of workers in a given unit or department, to their commitment to their individual g

ruslelena [56]

Answer:

The correct answer for Which of the following describe the cohesion of workers in a given unit or department, to their commitment to their individual goals and to their coworkers even in the face of adversity, and to the pride that one feels by being a member of the organization is Esprit De Corp

Step-by-step explanation:

Esprit De Corp is a french word that is translated to mean "group spirit".

It became a popular phrase in management when Henri Fayol added it to his fourteen principles of management concept.

Henri Fayol was a had a successful career in a mining company between the end of the 19th century until the early 20th century.

From his experience from a junior staff all the way to the Managing Director, he coined Esprit De Corp as a Principle.

"The principle states that an organization must make every effort to maintain group cohesion in the organization. It notes that dividing your competition is a clever tactic, but dividing your own team is a serious error".

Esprit De Corp fosters the cohesion of workers in their departments and engenders the commitment to achieve set goals and support for colleagues even in the face of adversity thereby breeding a kindred spirit.

6 0

3 years ago

Find the area of an equilateral triangle with radius 5√3 m. Leave your answer in simplest radical form.

nevsk [136]

In an equilateral triangle the radius of inscribed circle is equal to
$r= \frac{a \sqrt{3} }{6}$ , so
$5 \sqrt{3} = \frac{a \sqrt{3} }{6}$ and
$a=30$ .
The area of this equilateral triangle is $A= \frac{a^2 \sqrt{3} }{4} =\frac{30^2\cdot \sqrt{3} }{4}=225 \sqrt{3}$ square units.

6 0

3 years ago

Read 2 more answers

What is the slope of the lines segment with the endpoint (2,-5) and (-8,3)

lilavasa [31]

Answer: - 0.8
Explanation I subtracted y2 and y1
(3-(-5) = 8
then subtracted x2 and x1
((-8) -2) =-10
Then I divide 8 and -10
And I got -0.8

3 0

3 years ago

Fully describe what it means to have a positive slope and a negative slope. Your description should be given from a graphical pe

Akimi4 [234]

Answer:

A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.

Step-by-step explanation:

3 0

3 years ago

Probability, help, please ​

Probability, help, please