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rjkz [21]
3 years ago
15

Employee retention is a major concern for many companies. A survey of Americans asked how long they have worked for their curren

t employer (Bureau of Labor Statistics website, December 2015). Consider the following example of sample data of 2000 college graduates who graduated five years ago.
Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer:

Step-by-step explanation:

Discrete probability distribution can be written as follows

X. Number P(X)

1 . 506 (506/2000) = 0.253

2 390 (390/2000) = 0.195

3 310 (310/2000) = 0.155

4 218 (218/2000) = 0.109

5 576 (576/2000) = 0.288

Solution(b)

For valid discrete probability distribution total probability should be 1

P= 0.253+0.195+0.155+0.109+0.288 = 1

So it is a discrete probability distribution.

Solution(c)

Probability for more than 3 years = p(X=4) + P(X=5) = 0.109+0.288 = 0.397 or 39.7%

You might be interested in
there are 36 capenters in a crew. Ona certain day,29 were present .What percent showed up for work?[round to the nearest tenth
aliina [53]

Answer:


Step-by-step explanation:

We assume, that the number 36 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 36, so we can write it down as 100%=36.

4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.

5. Now we have two simple equations:

1) 100%=36

2) x%=29

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=36/29

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for 29 is what percent of 36


100%/x%=36/29

(100/x)*x=(36/29)*x - we multiply both sides of the equation by x

100=1.24137931034*x - we divide both sides of the equation by (1.24137931034) to get x

100/1.24137931034=x

80.5555555556=x

x=80.5555555556


now we have:

29 is 80.5555555556% of 36 to the nearest tenth is 81%

4 0
3 years ago
The 3kg object in Figure is released from rest at a height of on a curved frictionless ramp.
yanalaym [24]

The object compresses the spring up to 0.8577m.

<h3>What is Potential Energy?</h3>

Potential Energy is the energy possessed by an object at rest.

The object is falling from the rest and it is assumed that the friction on the ramp is zero and the air resistance is also considered to be zero so only the gravitational force acts and the total potential energy gets converted to Kinetic Energy.

The total amount of potential energy at the top of the ramp is given by

Ep=mgh

Ep=3 * 9.81 *5

Ep=147.15 Joules

This is equal to kinetic energy.

From the formula for elastic potential energy

The distance up to which the spring is compressed is determined

The force constant = 400N/m

147.15 =(1/2)k(x²)

294.3=(400)(x²)

0.73575=x²

x=0.8577 m

So, the object compresses the spring up to 0.8577m.

  • When the object compresses the spring, the potential energy of the spring is converted into Kinetic Energy so it will push the object back again.

To know more about Potential Energy

brainly.com/question/24284560

#SPJ1

3 0
1 year ago
I am stuck on |x+3|&lt;5. Can someone help?
NeTakaya
the answer would be -8<x<2
5 0
3 years ago
Given the function defined below, what is the value of the 4th term?
MakcuM [25]

Answer:

The 4 t h term is   f(4)   = 143

Step-by-step explanation:

<em>Explanation</em>:-

Given  function f(1) = -4

Given 'nth' term is  f(n) = -3f(n-1) +5

Put n =2         <em> f(2) = -3 f(2-1) +5</em>

                             = -3 f(1) +5

                             = -3 (-4) +5

                             = 12 +5

                       f(2) = 17

put n= 3      

                         f(n) = -3f(n-1) +5  

                      <em>   f(3) = -3 f(3-1) +5</em>

                            = -3f(2) +5

                           = -3(17) +5

                           = -51+5

                      f(3) = -46

Put n=4

                  f(n) = -3f(n-1) +5

               <em>  f(4)  = -3f(4-1) +5</em>

<em>                  f(4)  = -3f(3)+5</em>

                f(4)   = -3(-46)+5

                f(4)   = 138 +5

                f(4)   = 143

<u><em>Final answer</em></u>:-

<em>The 4 t h term is   f(4)   = 143</em>

         

6 0
2 years ago
A small resort is situated on an island that lies exactly 3 miles from P, the nearest point to the island along a perfectly stra
Artemon [7]

Answer:

The distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost is 0 m, or the pipe should be routed to the point P

Step-by-step explanation:

We note that, cost to lay pipe in water = 2.3 × cost to lay pipe on land

Distance of the small resort on the island from point p on the shoreline = 3 miles

Location of the closest source of fresh water is 10 miles along the shoreline from p

∴ The small resort, the point p and the closest source of the fresh water on the shoreline together form a right triangle with sides

Height = 3 miles

Base = 10 miles and

Hypotenuse = \sqrt{3^2 + 10 ^2} = \sqrt{109} =  10.44 \, m

To find the cost of laying the pipeline by the various route, we multiply the water routes by 2.3 and the land routes by 1 and we get

Costs:

Height =  Water route = 2.3 × 3 miles = 6.9

Base = Land route = 1 × 10 miles = 10

Hypotenuse = Water route = 2.3 × 10.44 miles = 24.012

Therefore, the two routes are either

10 miles to point p and 3 miles across the water to the resort with a cost = 10 + 6.9 = 16.9 or

Directly to the small resort through 10.44 miles across the water with cost = 24.012

Therefore, to minimize cost, the pipe should come from the resort to P from there to the fresh water source.

That is the distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost = 0 m.

7 0
3 years ago
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