In 2010, your company paid overtime wages or hired temporary help during 32 weeks of the year. Overtime was paid for 26 weeks and temporary help was hired for 15 weeks. If at year’s end an auditor
checks your accounting records and randomly selects one week to check the company’s payroll, what is the probability that the auditor will select a week in which you paid overtime wages and hired
temporary help?

Answers

Answer 1

The probability that the auditor will select a week in which you paid overtime wages and hired is 0.28

In 2010, your company paid overtime wages or hired temporary help during 32 weeks of the year. Overtime was paid for 26 weeks and temporary help was hired for 15 weeks.

What is probablitity?


Probability, can be define as the ratio of favorable outcomes to the n number of total events.

Here, p(a) = Overtime was paid for 26 weeks = 26/32= 0.81
       p(b) =  temporary help was hired for 15 weeks = 0.46
Required probability = P(a) + P(b) - 1
                                  =   0.81 + 0.46 -1
                                  =   0.28

The the required probability that the auditor will select a week in which you paid overtime wages and hired is 0.28

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Related Questions

7 times 36 = 21 times ?

help needed asap :)

Answers

Answer:

7*36=21*x

252=21x

x=12

Hope it helps!

Answer:

12

Step-by-step explanation:

Let x be the unknown number.

Method 1

[tex]\implies \sf 7 \times 36 = 21 \times x[/tex]

[tex]\implies \sf 252 = 21x[/tex]

[tex]\implies \sf \dfrac{252}{21} = \dfrac{21x}{21}[/tex]

[tex]\implies \sf 12=x[/tex]

[tex]\implies \sf x=12[/tex]

Method 2 (using mental arithmetic)

[tex]\implies \sf 7 \times 36 = 21 \times x[/tex]

As 7 and 21 are both multiples of 7, divide both sides by 7:

[tex]\implies \sf 36=3x[/tex]

Divide both sides by 3:

[tex]\implies \sf 12=x[/tex]

[tex]\implies \sf x=12[/tex]

Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. then, the remaining rope should be cut into 8 1/4 - inch sections to tie the tent to stakes in the ground. Mario will use all of the rope as instructed. write and solve n equation to determine the number of 8 1/4 - inch sections of rope Mario can cut from the rope

Answers

An equation is formed of two equal expressions. The number of sections that Mario can cut from the rope is 6.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of 8 1/4 - inch sections of rope Mario can cut from the rope be x.

Since the total length of the rope is 7 feet, which is equal to 84 inches(1 foot=12 inches), the instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. Therefore, the rope for the 8 1/4 inches section is,

Rope left = 84 inches - 34.5 inches

Since the length of a single section is 8 1/4 inches(8.25 inches), therefore the number of sections that can be made from the remaining section is,

The number of sections, n = Rope left/8.25 inches

                                             = (84 -34.5)inches /8.25 inches

                                              = 6

Hence, the number of sections that Mario can cut from the rope is 6.

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3(2x − 8) – 11x
equivalent to

Answers

Answer:

-5x - 24

Step-by-step explanation:

3(2x − 8) – 11x =

Distribute the 3.

= 6x - 24 - 11x

Combine like terms.

= -5x - 24

adam has 18 counters he gives 10 to lesleay how many of the 18 counters does lesleay get give your answer in simplest form

Answers

The fraction of the counters that Lesleay gets is 5/9.

What is the fraction?

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. An example is 1/2.

The fraction of the counters that Lesleay gets = number of counters she gets / total number of counters

10/18 = 5/9

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please help I need so much help right now I feel like crying ​

Answers

Answer:

ok the first point there is (-4;-3)

the second point is(0;-6)

write out y=-4x-y……………

In the cafeteria, 100 milk cartons were put out for breakfast. At the end of breakfast, 27 remained.
a. What is the ratio of the number of milk cartons taken to the total number of milk cartons?
b. What is the ratio of the number of milk cartons remaining to the number of milk cartons taken?

Answers

Answer:

a. 73:100

b. 27:73

Step-by-step explanation:

total: 100

number remaining: 27

number taken: 100 - 27 = 73

a. taken:total = 73:100

b. remaining:taken = 27:73

#a

total milk cartons used=100-27=73

Total=100

So the ratio is

73:100

#b

It's already mentioned in question

The ratio is 27:73

Which graph represents the following system of inequalities?

Answers

Answer:

D

Step-by-step explanation:

On graphing the 3 equations, we find that the central area (triangle) formed by the 3 inequalities is the solution.

Answer:

D

Step-by-step explanation:

When graphing inequalities:

< or > : dashed lines≤ or ≥ : solid line< or ≤ : shading under the line> or ≥ : shading above the line

Given inequalities:

[tex]\begin{cases}y > \dfrac{1}{2}x-1\\\\y\leq -x+1\\\\y > -2x-1 \end{cases}[/tex]

From inspection of the given graphs, the red dashed line is the first inequality as it is the only inequality with a positive slope.

The blue sold line is the second inequality, as it is the only inequality with the sign that suggest a solid line.

Therefore, by process of elimination, the green dashed line is the third inequality.

Using the inequality signs and their definitions for shading, find the graph that has:

Shading above the red dashed lineShading below the blue solid lineShading above the green dashed line

The only graph that matches these conditions is graph D

Can someone help me with this, it’s urgent. It’s geometry.

Answers

Answer:

10. Ray ED and Ray EF (two rays)

11. DE and EF (two line segments)

Step-by-step explanation:

hope this helped

Answer:

Ray ED and Ray EF

DE and EF

Step-by-step explanation:

For doing a certain a Job​

Answers

Answer:

added in picture

Step-by-step explanation:

added in picture

Answer:

$71,744.53

Step-by-step explanation:

The earnings triple every day, so you can calculate them for the 15 days. For the total, you also have to add them up.

See the calculations in below picture.

Calculate the area of the Parallelogram.


I will mark as brainliest, Please help quick!

Answers

Answer:

A = 42 cm²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 6 and h = 7 , then

A = 6 × 7 = 42 cm²

A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°

Answers

Answer:

In the given Triangle problem, the three options are:

1.  m∠5 + m∠6 = 180°

2. ∠2+ ∠3 = ∠6

3. m∠2 + m∠3 + m∠5 = 180°

Step-by-step explanation:

Concept: Consider Δ ABC with Exterior angles ∠1, ∠4 and ∠6.

Use the Exterior angle Property of Triangle which says that an exterior angle of a triangle is equal to the sum of the opposite interior angles.

For Exterior angle ∠1 we have:

∠1 = ∠5 + ∠3

Similarly, for Exterior ∠4 we have:

∠4 = ∠5 + ∠2

Similarly, for Exterior ∠6 we have:

∠6 = ∠2 + ∠3

Now, use the Triangle Sum Property which states that in a triangle sum of the measures of angles is equal to 180°

m∠2 + m∠3 + m∠5 = 180°

Linear Pair:

The measure of a straight angle is 180°, so a linear pair of angles must add up to 180°.

m∠5 + m∠6 = 180°

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(6, -5) reflected aross the y axis

Answers

Answer:

Then the new point is (-6,-5)

Step-by-step explanation:

i need help what's 8*3^2 i will mark brainiest if someone can answer it in 72-minute s

Answers

Answer:

72

Step-by-step explanation:

8 x 3² = 8 x 3 x 3

          = 8 x 9

          = 72

[P.S. If you meant (8 x 3)² the answer is:

(8 x 3)² = (24)²

            = 24 x 24

            = 576     ]  

Solve the system of equations: 3x + 6y=6 and 2y - 3x = 6.

Answers

Answer:

x = -1, y = 1.5

Step-by-step explanation:

3x + 6y = 6 -----> x + 2y = 2

-3x + 2y = 6 -----> -3x + 2y = 6

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

4x = -4

x = -1, y = 1.5

true or false 5x +11 = 7 is an expression

Answers

Answer: False

Step-by-step explanation: An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Expressions do not have an equal sign because they do not have an answer.

Please Help Me! What is cos B?

Answers

Answer:

cos B = 0.4706

Step-by-step explanation:

The cosine of an angle in a right-angled triangle is the ratio of its adjacent side and the hypotenuse, so:

 [tex]cos B = \frac{adjacent}{hypotenuse}\\\\cos B = \frac{8}{17} \\\\cos B = 0.4706[/tex]

cosØ=Base/HypotenusecosB=BC/ABcosB=8/17cosB=0.4706

Option B

Solve a^5=?
Please thank and thank you

Answers

Answer:

341.8801

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!help!!!!!!!

Answers

Answer: Answer below.

Step-by-step explanation: Attached is my work. Hope it is helpful!

Which set of graphs can be used to find the solution set to 3e* > >-x?

Answers

The attached graph represents the solution set of [tex]3e^x > \frac 12^x[/tex]

How to determine the graph?

The complete options are not given.

So, I would plot the graph that represents the solution set

The inequality is given as:

[tex]3e^x > \frac 12^x[/tex]

Start by splitting the inequalities as follows:

[tex]f(x) > 3e^x[/tex]

[tex]g(x) > \frac 12^x[/tex]

The above means that we plot the graphs of f(x) and g(x) to represent the solution set

See attachment

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Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear equation: 1/4a+1/3a+8=22

Answers

Answer:

a=24

Step-by-step explanation:

Start by subtracting 8 from both sides giving:

1/4a+1/3a=14

Then find a common denominator between the two a terms which is 12 giving:

3/12a+4/12a=14

Combine the two terms:

7/12a=14

Then divide by 7/12 giving you a=24

Pls Help! Will Give Brainliest for the right answer!

Answers

a. The survey method is unlikely to result in a representative sample

b. Interview people on all days of the week.

What is a Representative Sample?

A representative sample is a sub-section of a larger population and has similar characteristics of the main group population.

a. The population of the study is the entire consumers that shop at the supermarkets who shop all days of the weeks. Therefore, asking only shoppers who shopped on Monday will most likely give you a bias response as most customers may select Wednesday. The sample doesn't represent the entire population.

b. A better survey method is picking samples on all days of the week and ask them.

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A friend of yours, a senior, took the Graduate Record Exam in September and scored in the 99th percentile. In February, your friend took the same exam over again. This time your friend scored in the 90th percentile. As a research methods student, you told your friend that his/her lowered score was most likely due to:

Answers

His/her lowered score was most likely due to statistical regression.

How to determine the reason?

The missing options in the question are:

A. compensation rivalry  B. Demoralization C.  Differential selection

D.  Testing E.  Statistical regression

From the question, we have:

September = 99th percentileFebruary = 90th percentile

A change (whether higher or lower) in the score is caused by statistical regression.

This is so because several variables could attribute to the change in the score.

The relationship between these variables is referred to as statistical regression

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what is the area of aregular hexagon with side length of 10units square?

Answers

Answer:

h ≈ 259.81

Step-by-step explanation:

i used the hexagon calculator

Answer:

150 sqrt 3        = 259.8076  units^2

Step-by-step explanation:

Interior angles of hexagon = 120 degrees ....now look at the Right  1/2 of the hexagon...  see illustration....this is a trapezoid...

One base is 10 units

the other labelled 'base' is

 10 cos 60    +   10 cos 60   + 10    = 20 units

the height of this trapezoid is  10 sin 60 = 10 * sqrt(3)/2 = 5 sqrt(3)

   the area of this trapezoid is then   1/2 ( 10+ 20) * 5 sqrt (3)  = 75 sqrt 3

there are TWO of these trapezoids in the hexagon so total area is then

   2 * 75 sqrt 3

        150 sqrt 3

30 POINTS AND BRAINLIEST PLS HELPP - Vanessa's bedroom floor is a rectangle 3m wide and 5m long. She chooses a new carpet that costs £20 per m squared. How much does the carpet cost??

Answers

Answer:

Carpet costs = 300£

Step-by-step explanation:

• First calculate the area of the floor:

Area of floor = length x width

                     = 5m² x 3m²

                     = 15m²

• As one m² of carpet costs £20, 15m² of carpet costs:

15 x 20

= 300£

What additional information could be used to prove that the triangles are congruent using aas or asa?.

Answers

Answer:

Two angles and a side

Step-by-step explanation:

In order to prove triangles congruent, you'd have to either have an angle, angle, and then a side in that exact order for AAS or you can have two angles and a side in the middle of them for ASA.

Each of 36 students at a school play bought either a cup of orange juice or a sandwich. A cup of orange juice costs $1 and a sandwich costs $3. The total amount collected was $76. How many students bought orange juice, and how many bought a sandwich?

Let represent the number of students who bought a cup of orange juice and represent the number of students who bought a sandwich. Then the problem can be represented by this system of equations:

+ 3 = 76
+ = 36

Answer the questions to solve the problem.

1. Explain what you should do with the two equations to eliminate one of the variables.

Answers

In order to eliminate one of the variables, subtract one of the equation from the other equation.

How to eliminate one of the variables?

Given these equations:

o + 3s = 76 equation 1

o + s = 36 equation 2

Where:

o = number of orange juice bought

s = number of sandwiches bought

In order to eliminate one of the variables, subtract equation 2 from equation 1. The result is :

2s = 40

s = 20

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y = 3x - 5.1, (-1.2, -3.1)

Answers

Answer:

This point is not on the line, NOT TRUE

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

          b represents the y-intercept

where the format of a point is (x, y)

Given: y = 3x - 5.1, (-1.2, -3.1)

we can plug in the point (-1.2, -3.1)

-3.1 = 3(-1.2) - 5.1

-3.1 = -3.6 - 5.1

-3.1 = -8.7

-3.1 does not equal -8.7 so this point is not on the line

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Two taps, *A* and *B* are of different sizes. Tap A fills a container with water in 3 minutes and Tap B fills the same container in 5 minutes. How much time Will it take if both the taps are turned on at the same time.
answer with working​

Answers

On its own tap A fills 1/3 of the container each minute.
On its own tap B fills 1/5 of the container each minute.
Both taps together will fill 1/3 + 1/5 = 5/15 + 3/15 = 8/15 of container per minute.
Filling the whole container using both taps will take 15/8 minutes = 1 7/8 minutes = 1 min 52.5 secs

If f(x) = 3x^2 - x, find f(-2).

Answers

Answer:

14

Step-by-step explanation:

to find f(value), we plug that x value into the equation

so, if..

f(x)= 3x² -x

f(-2)= 3 · (-2)² - (-2)

f (-2) = 3 · 4 + 2

f (-2) = 12 + 2

f (-2)  = 14

Answer:

14

Step-by-step explanation:

f(x) =3x^2-x

here,

f(-2)= 3(-2)^2 -(-2)

=3*4+2

=12+2

=14 Answer.

wonder woman made a reglangular fence around her invisable airplane so it would not get hurt by her dog. her fence was 4ft long, 2 ft wide, and 3 ft high. how much material did she use t make her fence

Answers

Answer:

36 ft^2

Step-by-step explanation:

Perimeter = 4 + 4 + 2 +2 = 12 feet

  12 feet x 3 feet high = 36 ft^2

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