g Benton Industries manufactures carpets and draperies in the Atlanta area. Employee absenteeism was becoming a problem, so HR conducted a study involving a random sample of employees. The number of absences during the past year was tabulated by marital status. What is the probability that an employee is not married and has between 1 and 5 absences in the past year

Answers

Answer 1

Answer:

The probability that an employee is not married and has between 1 and 5 absences in the past year is 0.204.

Step-by-step explanation:

The probability of an event, say E is the ratio of the favorable number of outcomes to the total number of outcomes.

[tex]P(E)=\frac{n (E)}{N}[/tex]

The number of absences during the past year tabulated by marital status is as follows:

Marital Status      0 Absences     1 - 5 Absences     More than 5 Absences

  Married                     100                     98                              52

Not Married                  77                     102                              71

Compute the probability that an employee is not married and has between 1 and 5 absences in the past year as follows:

[tex]P(\text{NM}\cap 1-5\ \text{Absences})=\frac{n(\text{NM}\cap 1-5\ \text{Absences})}{N}[/tex]

                                       [tex]=\frac{102}{100+98+52+77+102+71}\\\\=\frac{102}{500}\\\\=0.204[/tex]

Thus, the probability that an employee is not married and has between 1 and 5 absences in the past year is 0.204.


Related Questions

Form a polynomial function f(x) with the given degree and zeros. You can leave your answer in factored form.
Degree 7; zeros: -7, i, 3-1, -6i

Answers

Answer:

Your search - Form a polynomial function f(x) with the given degree and zeros. You can leave your answer in factored form. Degree 7; zeros: -7, i, 3-1, -6i - did not match any image results.

Suggestions:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

round 673738 to the nearest ten thousand

Answers

Answer:670000

Step-by-step explanation:

Rounding 673738 to the nearest ten thousand is 670000

The place value of the number 673738 from the right is given below:

8 stands for unit

3 represents tens

7 represents hundreds

3 represents tens thousands

7 represents ten thousands

6 represents hundred thousands

Since the number beside the 7 is 3 and it isn't up to 5, then the number to the nearest ten thousand will be 670000.

In conclusion, rounding 673738 to the nearest ten thousand is 670000.

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Let f and g be the functions defined by f(t) = 2t2 and g(t) = t3 + 4t.
1) Determine f'(t) and g′(t).
2) Let p(t) = 2t2 (t3 + 4t) and observe that p(t) = f(t) ⋅ g(t). Re-write the formula for p by distributing the 2t2 term. Then, compute p′(t) using the sum and constant multiple rules.
3) p′(t) = f′(t) ⋅ g′(t).
A. True
B. False
4) Let q(t) = t3 + 4t2/2t2 and observe that q(t) = g(t)/f(t). Rewrite the formula for q by dividing each term in the numerator by the denominator and simplify to write q as a sum of constant multiples of powers of t. Then, compute q′(t) using the sum and constant multiple rules.
5) q′(t) = g′(t)/f'(t).
A. True
B. False

Answers

Answer:

1) [tex]f'(t)=4t,\ g'(t)=3t^2+4[/tex]

2) [tex]p(t) =2t^5+8t^3[/tex]

[tex]p'(t)=10t^4+24t^2[/tex]

3) False

4)[tex]q(t) =\dfrac{1}{2}t+2t^{-1}[/tex]

[tex]q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]

5) False

Step-by-step explanation:

Given that:

[tex]f(t) = 2t^2[/tex] and [tex]g(t) = t^3 + 4t[/tex]

Formula:

[tex]1. \dfrac{d}{dx}x^n=nx^{n-1}[/tex]

[tex]2. \dfrac{d}{dx}C.f(x)=C.f'(x)\ \{\text{C is a constant}\}[/tex]

1) Using above formula:

[tex]f'(t)=2\times 2 t^{2-1}=4t[/tex]

[tex]g'(t)=3t^{3-1}+4\times 1 t^{1-1}=3t^2+4[/tex]

2) [tex]p(t) =2t^2(t^3+4t)[/tex]

Rewriting the formula by distributing the [tex]2t^2[/tex] term:

[tex]p(t) =2t^2.t^3+2t^2.4t=2t^5+8t^3[/tex]

[tex]p'(t) = 10t^4+24t^2[/tex]

3) By using answers of part (1):

[tex]f'(t).g'(t)=12t^3+16t[/tex]

[tex]p'(t) = 10t^4+24t^2[/tex]

Therefore it is False that [tex]p'(t) = f'(t).g'(t)[/tex]

4) [tex]q(t)=\dfrac{t^3+4t}{2t^2}[/tex]

Writing by distributing:

[tex]q(t)=\dfrac{t^3}{2t^2}+\dfrac{4t}{2t^2}\\\Rightarrow q(t) =\dfrac{t}{2}+\dfrac{2}{t}\\\Rightarrow q(t) =\dfrac{1}{2}t+2t^{-1}[/tex]

Using the formula:

[tex]q'(t)=\dfrac{1}{2}t^{1-1}+2\dfrac{-1}{t^2}\\\Rightarrow q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]

(5)By using answers in part (1):

[tex]\dfrac{g'(t)}{f'(t)}=\dfrac{3t^2+4}{4t}=\dfrac{3}{4}t+\dfrac{1}t[/tex]

[tex]q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]

Therefore, it is False that:

[tex]q'(t)=\dfrac{g'(t)}{f'(t)}[/tex]

Question 1 (1 point)
Select all the tables that could represent proportional relationships.
x/y
a
2/3
b
5/7.5
Oc
10/15

Answers

Answer: ik 2/3 Ian one but don’t know about the others

Solve the system of equations. show your work/explain how you found your answer.
2x-4y=10
x+5=40

Answers

Answer:

Look at step-by-step explanation

Step-by-step explanation:

Work on the second equation first.

x + 5 = 40

Get all variables on one side:

x = 35

You now have the answer for the variable of x, use this on the first equation:

2x-4y=10

2(35)-4y=10

Subtract 70 from both sides:

70-4y=10

Divide both sides by neagtive 4:

-4y=-60

y=15

Suppose set A contains 336 elements and the total number elements in either set A or set B is 642. If the sets A and B have 78 elements in common, how many elements are contained in set B?

Answers

Answer:

math

Step-by-step explanation:

Miguel gave 5 items to the clerk at the store. Before taxes were added the total was 36.00. If each item was priced the same, what is the cost of one of the items?

Answers

Answer:

$7.20

Step-by-step explanation:

$36.00 for 5 items.

Divide $36.00 by 5 to find the price of 1 item.

$36/5 = $7.20

I need a few help on these questions...

Answers

Look it up on google

How long is the blue ribbon if the red ribbon is 12 inches

Answers

Answer:

can I have more info plz

make a table and graph the solutions of each equation y=3x+1

Answers

Answer:

i can't graph it but i'll give you the points to graph

Step-by-step explanation:

(-2, -5) (-1,-2) (0,1) (1,4) (2,7)

start at the point in bold

A box measures 4 inches by 2 inches by 6 inches .Find the volume of the box in cubic centimeters

Answers

Answer:

121.92 cm cubed

Step-by-step explanation:

all you have to do is multiply all 3 measurements to find the simple shapes volume, and then convert to centimeters using the simple 2.54 cm=1 in conversion rate

Answer:

1/36 cubic ft

Step-by-step explanation:

4 inches = 12/3 inches = 1/3 ft

2 inches = 12/6 inches = 1/6 ft

6 inches = 12/2 inches = 1/2 ft

jessica has 56 arcade tickets to give away she gives them all to her 8 friends who share them equally how many tickets does each friend get?

Answers

Each of the friends get 7 tickets

Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with ¾ yard of fabric. The fabric costs $8 per yard. You'll apply properties of multiplication in the following steps to find the total cost of the fabric.​

Answers

Answer:

Step-by-step explanation:

1 pair of wings = 3/4 yard fabric

We know that 1 yard of fabric = $8

1 pair of wings = $8 x 3/4 = $6

Therefore total cost = $6 x 13 = $78

The total cost of the fabric is $ 78

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of pairs of butterfly wings = 13 pairs

The amount of fabric used in 1 pair of butterfly wings = 3/4 yards

The cost of 1 yard of fabric = $ 8

Now , the equation will be

The cost of 3/4 yard of fabric = 3/4 x cost of 1 yard of fabric

                                                = 3/4 x 8

                                                = 3 x 2

                                                = $ 6

Now , the equation is

The total cost of fabric for 13 pairs of butterfly wings =
13 x cost of 3/4 yard of fabric

The total cost of fabric for 13 pairs of butterfly wings = 13 x 6

                                                                                       = $ 78

Therefore , the cost is $ 78

Hence , The total cost of the fabric is $ 78

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PLEASE HELP URGENT !! (What is the slope of the line on the graph?)

What is the slope of the line on the graph?

Answers

Answer:

2/6

1/3 simplified

Rise over run

choose any two points on the graph and do rise over run

The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. Find an equation for the parabola that passes through the points (−1, −11), (1, −5), and (2, −8).

Answers

Putting (-1, -11) in given equation, we get :

-11 = a + -b + c    ....1)

Similarly putting (1, −5) and (2, −8) we get :

-5 = a + b + c      ....2)

-8 = 4a + 2b + c ....3)Adding equation of 1) and 2) we get :

2( a + c ) = -6

a + c = -3

Solving equation 1 , 2 and 3 ,we get :

a = -2 , b = 3 , c = -6

Therefore, equation of parabola is :

y = -2x² + 3x -6

Hence, this is the required solution.

1. A CD in the financial sense is
(1 point)
O a certificate of deposit
O a checking account
a record of your transactions
O a small sarings account
2. When calculating interest earned on a CD, you (1 point)
O multiply the principal by the interest rate
Omultiply the principal by the interest rate and time
O use an online calculator
O multiply the principal by time

Answers

Answer:

  1.  a certificate of deposit

  2.  multiply the principal by the interest rate and time

Step-by-step explanation:

1. A CD is a savings vehicle called a "Certificate of Deposit." It generally specifies a certain rate of interest for a given period of time. It usually carries an interest penalty for early withdrawal.

__

2. The interest on a CD is calculated the way it is calculated for any other investment. The amount of interest in a given time is the product of the principal, the interest rate, and the time period. Interest on a CD with a period of more than 1 year is generally compounded. (The compounding interval will be part of the terms of the CD agreement.)

A certificate of deposit, When calculating interest earned on a CD and multiply the principal by the interest rate and time

What is Finance?

Finance is defined as the management of money and includes activities such as investing, borrowing, lending, budgeting, saving, and forecasting.

A CD in the financial sense is a certificate of deposit.

When calculating interest earned on a CD, you multiply the principal by the interest rate and time.

This is because interest on a CD is usually compounded, meaning it is added to the principal balance over time and earns interest itself.

The formula for calculating the total amount earned on a CD is:

[tex]Total amount = Principal \times (1 + Interestrate)^T^i^m^e[/tex]

Where the interest rate is expressed as a decimal and Time is the number of years the CD is held.

Hence, a certificate of deposit, When calculating interest earned on a CD and multiply the principal by the interest rate and time

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Question 6 (5 points)
TD
What is the distance between point C and point D?
A) 185 units
O
B) 12 units
C) 17 units
D) 13 units

Answers

Answer:

C

Step-by-step explanation:

Answer:13

Step-by-step explanation:

What is 18 x 2 x (3 + 4) x 3 + 6

Answers

Answer:

762

Step-by-step explanation:

[tex]18 \times 2 \times (3 + 4) \times 3 + 6[/tex]

Follow PEMDAS order of operation

[tex]3 + 4 = 7 \\ 18 \times 2 \times 7 \times 3 + 6 \\ 18 \times 2 \times 7 \times 3 = 756 \\ 756 + 6 = 762[/tex]

Answer:

762

Step-by-step explanation:

We need to use BODMAS method

B - Brackets

O - Power

D - Division

M - Multiplication

A - Addition

S - Subtraction

__________________

Workout

First Brackets

- (3 + 4) = 7

Then multiplication

18 x 2 = 36

36 x (3 + 4) = 36 x 7 = 252

252 x 3 = 756

Lastly Adding

756 + 6 = 762

Answer = 762

___________________

Hope you understand

:-)

The ratio of the number of boys and girls in a college is 6 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio. ​

Answers

Answer:

Let the initial number of boys and girls be 600 and 800 respectively, so that

(no. of boys) : (no. of girls) = 6:8.

Final number of boys (Fb) = 600+ 20% of 600 = 720

Final number of girls(Fg)  = 800+ 10% of 800 = 880

The new ratio = Fb / Fg = 720 / 880 = 9/11 = 9:11

So, the new ratio will be 9 : 11

15.9687194227 rounded to the nearest tenth

Answers

Answer:

i think its 16

Step-by-step explanation:

Answer:

16.0

Step-by-step explanation:

Nearest tenth place value is the digit directly to the right of the decimal point. Locate the tenth place value. It will be underlined and bolded:

15.968194227

Look at the number directly right of the given term. Note that:

If the digit is 5 or greater, round up.

If the digit is 4 or less, round down.

Since the digit is 6, round up.

15.968194227 rounded to the nearest tenth is 16.0

~

Find the distance between the two point
(-6,6) and (3,-6)

Answers

Plug the math into the calculator, round if you need to you didn’t specify

PLEASE HELP AS FAST AS YOU CAN ASAP DUE IN 30 MINUTES!!!!

the prism is made up of unit cubes. the side length of the unit cube is 1/4 inch

what us the volume of the prism

A. 3/8
B. 8
C. 24
D. 1/64

please explain as well

Answers

Answer:

C

<$&#&#;#;#;#;#

Step-by-step explanation:

1/4= 4x6=24

Answer:

C

Step-by-step explanation:

I need help please ​

Answers

Answer:

n=1/3

Step-by-step explanation:

Answer:

There’s no error

Step-by-step explanation:

(x7) - 3 = 4
What does x =
How do I solve for x
x divided by 7 - 3 = 4
how do i find out what X equals

Answers

Answer:

detailed one

Please mark as the BRAINLIEST

(ㆁωㆁ)

A regular pentagon (5 sides) is rotated about its center. By which angle could the pentagon be rotated so that it is mapped onto itself?
A
45 degrees

B
60 degrees

C
72 degrees

D
90 degrees

Answers

Answer: Your answer is C, 72 degrees.

Step-by-step explanation:

A pentagon is a polygon with 5 vertices. A polygon can be rotated 360 degrees in total. Since this shape has 5 vertices, it can be rotated on every vertex to get the same figure, or in other words, it being mapped onto itself. Therefore, 360 degrees divided by 5 vertices is 72 degrees.

Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?​

Answers

Answer:

See referenced question

Step-by-step explanation:

Refer to this answer:

https://brainly.com/question/18638278

Attached is the question in original form

Jacob's hourly salary is $11.00. If Jacob works more than 40 hours a week, then Jacob gets overtime pay at 1 and 1/2 times the regular hourly rate for each hour worked over 40 hours. Last week, Jacob worked 49 hours. What was the total pay last week?

Answers

Answer:

588.50

Step-by-step explanation:

11.00 x 40 = 440

16.50 x 9 = 148.5

Brian May, guitarist for Queen, does not know how to price his signature Antique Cherry Special that cost him £340 to make. He knows he wants 80% markup on cost. What price should Brian May ask for the guitar?

Answers

9514 1404 393

Answer:

  £612

Step-by-step explanation:

If Brian wants to add 80% of the cost to the cost, the selling price will be ...

  £340(100% +80%) = £340·1.80 = £612

Brian May should ask £612 for the guitar.

Change the given equation into slope-intercept form:
1. - 2 + y = -x

Answers

rearrange the equation, so it would be y = -x+2

you want to give it into a y=mx+b form

A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. What integer represents a
loss of 750 points?

Answers

-750 because a loss which is negative and if you do -750-(9000) you will get a total of 9750.

An integer is a whole number that can be positive, negative, or zero and is not a fraction. The integer that represents a loss of 750 points is -750.

What is an integer?

An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

Given that a contestant in a game show has 9,000 points. Further, The contestant answers the next question incorrectly and loses 750 points.

Now, since the 750 points are a loss and will be deducted from the total points, therefore, these 750 points can be represented by -750.

Hence, the integer that represents a loss of 750 points is -750.

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