Mathematics College

A company found that monthly reimbursements to their employees could be adequately modeled by a uniform distribution over the interval $10,000 < x < 15,000.
What is the probability of employee reimbursements exceeding $12,000 next month?

A Company Found That Monthly Reimbursements To Their Employees Could Be Adequately Modeled By A Uniform

Answers

Answer 1

Answer:

0.6 = 60% probability of employee reimbursements exceeding $12,000 next month

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

A company found that monthly reimbursements to their employees could be adequately modeled by a uniform distribution over the interval $10,000 < x < 15,000.

This means that, in thousands of dollars, [tex]a = 10, b = 15[/tex]

What is the probability of employee reimbursements exceeding $12,000 next month?

[tex]P(X > 12) = \frac{15 - 12}{15 - 10} = \frac{3}{5} = 0.6[/tex]

0.6 = 60% probability of employee reimbursements exceeding $12,000 next month

Related Questions

Diver Dan enjoys scuba diving. He dives to 34 feet below the surface of a lake. His friend "Jump in Jeff" dives to 40 feet below the surface, but then descends 20 feet. What is the vertical distance between Dan and Jeff?

Answers

the distance between Dan and jeff is 26 feet

A team won 8 games and lost 5 games.
What’s the Fraction of the games lost?

Answers

Answer:

5/8 or 0.625 for wins

3/8 for lost

5/8 lost 3/8 won is your correct answer btw I would appreciate Brainly answer

Find the value of X. WILL GIVE BRAINLIEST

Answers

Answer:

X = 12

Step-by-step explanation:

the total degree of any triangle is 180.

therefore I took (7x + 4) + (5x + 3) + ( 2x + 5) = 180

I replace the Xs with 12 and then the answer is 180

(7(12) + 4) + (5(12) + 3) + ( 2(12) + 5) = 180

Tell which set or sets the number below belongs​ to: natural​ numbers, whole​ numbers, integers, rational​ numbers, irrational​ numbers, or real numbers. 0

Answers

Answer:

if what you're asking if 0 belongs to anyone of the sets then zero belongs to whole numbers.

whole numbers is 0,1,2,3,4 etc

Natural numbers are 1,2,3,4 etc

integers are -3,-2,-1,0,1,2,3 etc

rational numbers are like fractions etc

irrational numbers are when you don't necessarily get a exact or whole numbers for example like π/pie

Look at the two rectangles on the centimetre square grid.
B
A
a)
Which rectangle (A or B) has the larger area? a
b) Explain how you know.

Answers

Answer:

A has the larger area.

Step-by-step explanation:

You can find a rectangle's are by multiplying its width by its height.

For triangle A the width is 5, and the height is 3.  5 × 3 = 15

For triangle B the width is 6 and the height is 2.  6 × 2 = 12

15 is greater than 12, so rectangle A has a larger area than rectangle B.

The area of rectangle [1] is greater than rectangle [2].

What is a rectangle?

A rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

Given are two rectangles.

Assume that the side of the square block is 1 unit.

Now, for rectangle [1], we can write -

A [1] = L x B = 5 x 3 = 15 units square

For rectangle [2], we can write -

A [2] = L x B = 6 x 2 = 12 units square

Now, A[1] > A[2]

Therefore, the area of rectangle [1] is greater than rectangle [2].

To solve more questions on 2 - D figures, visit the link below-

brainly.com/question/16739227

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Robert takes medicine for an ear infection. There are 250,000 bacteria present when he begins taking the medicine. 35% of the bacteria are destroyed every hour. How many hours will it take for 70% of the original bacteria to be destroyed?

Answers

Answer:

2 hours because if 35% is killed every hour than you would have 70% killed in 2 hours because 35+35=70

Step-by-step explanation:

pls mark brainliest

The figure below shows a shed in the shape of a rectangular prism.
Note that the shed has a floor.

Answers

Answer:

Step-by-step explanation:

a). Volume of a rectangular prism = Length × width × height

                                                        = 13 × 8 × 12

                                                        = 1248 cubic ft

     Surface area of a rectangular prism = (lb + bh + hl)

     Here, l = length, b = width and h = height of the rectangular prism

     Surface area of the given prism = (13×8 + 8×12 + 12×13)

                                                           = 356 square ft

b). If the shed is made of metal,

    Metal needed to make the shed = Volume

c). The shed is used for the storage.

    Measure would be used → Surface area

A student decides to spin a dime and determine the proportion of times it lands on heads. The student spins the dime 25 times and records that it lands on heads 17 times. He decides to spin the dime again and spins it 100 times. Which of the following is a correct statement about the variability of the sampling distribution?

Since the sample size is increased, the variability will increase.
Since the sample size is increased, the variability will decrease.
Since the sample size is increased, the variability of the population will increase.
Since the sample size is increased, the variability of the population will decrease.

Answers

Answer:

Since the sample size is increased, the variability will decrease.

Step-by-step explanation:

took the quiz

How many distinct positive integer-valued solutions exist to the equation (x2 - 7x + 11)(x2 - 13x + 42) = 1

Answers

Answer:

The given equation has TWO positive integer valued solutions, {6, 7}

Step-by-step explanation:

Here we are given two trinomial factors, each of which needs to be set equal to zero and in each case the resulting quadratic equation solved.

(x^2 - 7x + 11) has the coefficients {1, -7, 11}, and so the discriminant of this quadratic is b^2 - 4(a)(c), or 49 - 4(11), or 5.

Because this discriminant is positive, we know immediately that this quadratic has two real, unequal roots involving √5 (NO integer roots).

Next we focus on (x^2 - 13x + 42).  The discriminant is b^2 - 4(a)(c), or

169 - 168, or 1.  Again we see that there are two real, unequal roots:

      +13 ± √1                  +13 ± 1

x = ---------------  or  x = -------------

             2                            2

OR x = 14/2 = 7 (integer) or x = 12/2 = 6 (integer).

The given equation has TWO positive integer valued solutions, {6, 7}

Choose the true statement for this system of
linear equations.
A)It has no solution.
B)It has one solution, (2,6).
C)It has one solution, (0,0).
D)It has an infinite number of solutions.

Answers

I am pretty sure it is B since the lines only intersect one time. :)

I think the answer is C :)

Help plzzzzz!!!!!!!!

Answers

Answer:

11,713

Hope that helps!

Answers is 11713 jus plug 5 for t

The instructions say this " for each part below, use the figure to fill in the blanks." The left side square is (a) and the right side square is (b)​

Answers

Answer:

X=110 degree

Step-by-step explanation:

Please mark as brainliest

What is the slope of the line in this graph?

Answers

Answer:

5/7

Step-by-step explanation:

B

This is due in an hour please help me.
3. Identify the parts of the following expression and translate it into a verbal expression: 2(3x – 2y) + 7. Be very specific with your chose of words! (10 points)

Answers

Answer:

not sure if you want this but you can mae the equation of line

y=-6x/2-7/2

Step-by-step explanation:

What are the characteristics of the graph of the inequality x>-2

Answers

Answer:

your answer is option B

Step-by-step explanation:

hope it helps!!

have a nice day ^_^

Please really need help on this please

Answers

Answer:

y + 3= -7(x + 2)

Step-by-step explanation:

...........

Find the area of the shaded region.
8
Area of shaded region = Area of circle - Area of Triangle
A=
square units
Note: Round to the tenth place.
9

Answers

Answer:

????????????......???????.

Factor.
3y^2 – 26y +16

Answers

Answer:

(3y−2)(y−8)

Step-by-step explanation:

Factor 3y2−26y+16

3y2−26y+16

=(3y−2)(y−8)

Answer:

- 17y + 16

Step-by-step explanation:

3y² - 26y + 16

3y × 3y - 26y + 16

9y - 26y + 16

- 17y + 16

Bags of sugar come in 3 sizes:

Small bag: A 250 g bag costs 95p.
Medium bag: A 500 g bag costs £1.80.
Large bag: A 3 kg bag costs £3.70.

Calculate the cost of 3 kg for the small and medium bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments

Answers

Answer:

Medium

Step-by-step explanation:

The computation is shown below:

The cost for the small and medium bag is shown below:

As we know that

1kg = 1000g

So 3kg = 3000g

Now for small bags

= 0.95 ÷ 250 × 3000

= £11.40

For medium bags

= £1.80 ÷ 500 × 3000

= £10.80

So here the medium bag would represent the better value

Elvis Presley is an extremely popular singer. Although he passed away in 1977, many of his fans

Answers

what’s the question????????

There are values of tso that sin t= .6 and cost=.8
A. True
B. False

Answers

The correct answer to the given postulate as required in the task content is; Choice A; True.

Which is correct about the given postulate?

It follows from the task content that it is required to verify if there are values of t such that; sin t= .6 and cost=.8.

Recall from square trigonometric identities that;

sin² x + cos² x = 1.

To verify if sin t= .6 and cost=.8 satisfy the given condition;

sin² t + cos² t = 1;

i.e (.6)² + (.8)² = 1

.36 + .64 = 1.

1 = 1; True.

Ultimately, the statement that t can take values such that sin t= .6 and cost=.8 is True.

Read more on square trigonometric identities;

https://brainly.com/question/30413555

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Solve using law of sines, find the area of wxy.

Answers

Answer:

area = 828.27 cm²

Step-by-step explanation:

add a line from X, perpendicular to WY, call this point A.

angle Y = 180 - 33 - 121 = 26 degrees

sin 26 = XA/49

0.4384 = XA/49

XA = 21.48 which is the height of the triangle

cos 26 = YA/49

0.8988 = YA/49

YA =  44.04

tan 33 = 21.48/WA

0.6494 = 21.48/WA

WA = 33.08

YW = 77.12

(YW)(XA)(0.5) = area

(77.12)(21.48)(0.5) = area = 828.27 cm²

Cos A= 0.4848
A) 61
B)44
C)82
D)54

Answers

Answer:

A 61

Step-by-step explanation:

Cos A = 0.4848

A = cos ^-1(0.4848)

A = 61

Is A. Because I did that already

HELP PLS
determine the measure of angles A and B

Answers

Answer:

Angle A is 52 degrees           Angle B is 78 degrees

Step-by-step explanation:

The angles all have to add up to 180.

2x + 3x + 50 = 180

5x + 50 = 180

Subtract 50 from both sides

5x = 130

Divide each side by 5

x = 26

Solve

A) 2 * 26 = 52

B) 3 * 26 = 78

--------Check--------

52 + 78 +50 = 180

180 = 180

I've been working on a desmos project with a code of, swwwowuqkm, awhile but, I seem to be missing something. If you could please finish line 20, between lines 19 and 21, in a similar fashion to line 22, between lines 18 and 23. It would be much appreciated if you could also explain what I was missing.

Answers

code is incorrect, maybe show a picture and i could help

pick correct graph from multiple choice options. A. B. C. D.

Answers

Answer:

your answer is ...

Step-by-step explanation:

Correct answer is this graph here

3. What three numbers are the Pythagorean triple generated by using 4 for x and 1 for y. Remember to use the formulas:
a = x2 - y2, 6 - 2xy, and C = x2 + y2
O 6, 8, and 10
O 5, 11, and 12
O 8, 15, and 17
O 3, 5, and 8

Answers

Given:

The three equations for the three numbers are

[tex]a=x^2-y^2[/tex]

[tex]b=2xy[/tex]

[tex]c=x^2+y^2[/tex]

To find:

The Pythagorean triple generated by using 4 for x and 1 for y.

Solution:

Substituting x=4 and and y=1 in the given equations, we get

[tex]a=4^2-1^2[/tex]

[tex]a=16-1[/tex]

[tex]a=15[/tex]

In the same way find b and c.

[tex]b=2(4)(1)[/tex]

[tex]b=8[/tex]

The third number is

[tex]c=4^2+1^2[/tex]

[tex]c=16+1[/tex]

[tex]c=17[/tex]

The required Pythagorean triple is 8, 15, and 17.

Therefore, the correct option is C.

Help please! Thank you! :D❤️

Answers

I believe it is GCF because 9v^3 can be factored out of the expression, becoming:
9v^3 (4 - 3v^2)
9v^3 (-3v^2 + 4)
The quadratic in parentheses can be solved, but with the quadratic equation or by graphing.

Pls help me with this one!! :)

Answers

Step-by-step explanation:

no picture just uploade again

The point P(8,-3) lies on the curve with equation y=f(x). Find the image of P on the curve with equation y=f(x-4).

Answers

Answer:

(12, -3)

Step-by-step explanation:

Add 4 to x value because it is a horizontal translation right 4.

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