Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively, and 7% of all plant employees work in the finishing department and are absent excessively.
1. If a plant employee is selected randomly, and F is the event "works in the finishing department," then P(F) = ________.
A. 0.07
B. 0.10
C. 0.20
D. 0.13
2. A plant employee is selected randomly; F is the event "works in the finishing department" and A is the event "is absent excessively." The probability of intersection of A and F, (P∩F) = __________.
A. 0.07
B. 0.10
C. 0.20
D. 0.23

Answer:

Family. Family is what you make of it in Heart of a Samurai.

Language and Communication.

Principles.

Art and Culture.

Identity.

Change.

Society and Class.

Step-by-step explanation:

Hope this helps:)

Answer:

A

Step-by-step explanation:

Lids

It is not clear how many lids the cylinder has or perhaps it is a solid. I'll say it has 2 lids.

The surface area of one lid = pi * r^2

r = 4

The surface area of one lid is pi*4^2 =16 pi

The surface area of two lids is 32*pi

Body

Length of the body = pi * d

Length of the body = 8 * pi cm

Height of the body = 18 cm

Area = l*h

Area = 8pi * 18 cm

Area = 144 pi

Total

Total Area = 32 pi + 144pi

Area = 176 pi cm^2

Answer:

11  because 10x2=20 and the 220 divided by 20 =11

Step-by-step explanation:

Let the speed of the train going from Boston to New York = X

Let the distance from Boston to when the trains meet = Y

The distance to New York when they meet would be 220 - Y

The Boston to New York train would be: Y = (2X-10)*2

New York to Boston train would be : 220 -Y = 2X

Using substitution:

220-(2X-10)*2 = 2X

Simplify the left side:

220 - 4X+20 = 2X

Add 4x to both sides and combine like terms:

240 = 6X

Divide both sides by 6:

x = 40

Now find distance from Boston by replacing x with 40"

Y = (2(40)-10)*2

Y = 160 -20

Y = 140 miles

Answer:

y = x/60

Step-by-step explanation:

y = kx

k = y / x = 10/600 = 1/60

y = x/60

[tex]y[/tex] is directly proportional to [tex]x[/tex] when [tex]x=600[/tex] and [tex]y=10[/tex] then the formula for [tex]y[/tex] in terms of [tex]x[/tex] is given  as  [tex]y=\frac{1}{60} x[/tex] .

We say that, [tex]y[/tex] and [tex]x[/tex] are directly proportional, if  [tex]\frac{y}{x} =k[/tex]  or [tex]y=kx[/tex].

So,

According to the question;

[tex]x=600[/tex]

[tex]y=10[/tex]

From the above statement;

[tex]\frac{10}{600} =k[/tex]

[tex]k = \frac{1}{60}[/tex] ,

So,

[tex]y[/tex] in terms of [tex]x[/tex] is given by,

[tex]y=\frac{1}{60} x[/tex]

Hence, we can say that [tex]y[/tex] is directly proportional to [tex]x[/tex] when [tex]x=600[/tex] and [tex]y=10[/tex] then the formula for [tex]y[/tex] in terms of [tex]x[/tex] is given  as  [tex]y=\frac{1}{60} x[/tex] .

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Answer:1/4

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

[tex]\dfrac{\frac{2}{3}}{\frac{1}{3}}=\frac{2}{3}\cdot \frac{3}{1}=\frac{6}{3}=2[/tex]. Hope this helps!

Answer:

2/3 divided by 1/3

Multiply the reciprical



2/3 x 3/1 = 6/3

6/3=2

2 is your answer

Step-by-step explanation:

Answer: 50 cups of coffee

Step-by-step explanation:

Let x represent the number of cups of coffee that it will take for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups.

He orders a coffee from Dunkin Donuts and it costs him $3.50 everyday. It means that the cost of ordering x cups would be 3.5x.

The Keurig is $150 and each k-cup costs $0.50. It means that the cost of ordering x cups would be 150 + 0.5x.

For the ordering cost to be the same, it means that

3.5x = 150 + 0.5x

3.5x - 0.5x = 150

3x = 150

x = 150/3

x = 50

Answer:

Step-by-step explanation:

If you read through the bottom paragraph, you see it concludes with, "the equations describe the same line." This means the system has infinite solutions, because the two lines intersect everywhere.

__

The rest of the solution is described in the paragraph. Starting with the rearranged form

  -ax +ay +9a = 0

"subtract 9a from both sides" means you now have ...

  -ax +ay +9a -9a = 0 -9a

or

  -ax +ay = -9a . . . . . . . . "-9" goes in the first box

__

Now, dividing by -a gives you ...

  (-ax)/(-a) +(ay)/(-a) + (-9a)/(-a)

  x - y = 9 . . . . . . . . . . . . "9" goes in the second box, confirmed by the following statement that the equations (this, and x - y = 9) "describe the same line".

Answer:

-3 please brainliest me PLease i expain it too

Step-by-step explanation:

Let's put the equation into point slope for 

-3y < -2x + 12

Divide by -3

y < 2/3x - 4

The answer is the first one because the shades are pointing down.

y < -3 means the shade points down y because y is less than -3

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The inequality 2x – 3y <12 and y < –3 is shown in the third graph.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The inequalities are:

2x -3y ≤ 12

y < -3

First, for the second inequality, we can see that y must be strictly less than -3, so we should see a dotted line at y = 3, and a shaded section under that line.

From this, we can discard the second graph (the middle one).

The first inequality can be rewritten as:

2x - 3y ≤ 12

-3y ≤ 12 - 2x

Now we divide by -3 into both sides, as we are dividing by a negative number, the direction of the ≤ sign changes:

y ≥ (12/-3) + (-2/-3)x = -4 + (2/3)*x

This means that the shaded section must be above the line:

y = -4 + (2/3)*x

Therefore, the inequality 2x – 3y <12 and y < –3 is shown in the third graph.

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Answer:

20

Step-by-step explanation:

There is 6-2 =4 years between them

24-4 =20

The sister is 20

Answer: 20 years old

Step-by-step explanation: So, we know the girl is 4 years older than the sister...how do we know that? Because...

6 - 2 = 4

She's 4 years older...we know the girl is 24, then the sister must be 20.

24 - 4 - 20...

The sister is 20 years old, I hope this helps

Answer:

The sister is 20

Step-by-step explanation:

The sister is 4 years younger than the girl.

Step-by-step explanation:

don't forget about PEMDAS

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction

first you're going to want to do 56 / 14.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:I don't say you must have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...

Answer:

2.5*4.6*0.5

= 2.5*2.3

= 5.75

Rounded to one decimal = 5.8

Answer:

Step-by-step explanation:

If you don't consider how the wood might be cut, or how the tray might be assembled, you can look only at the area requirements.

A tray that is 10.5 inches square will have an area of ...

  (10.5 in)^2 = 110.25 in^2

That base will have a perimeter that is 4×10.5 in = 42 in. If the perimeter piece(s) are 2 inches high, the area of the sides of the tray will be ...

  (42 in)(2 in) = 84 in^2

Then the total area of wood required for the proposed tray is ...

  110.25 in^2 +84 in^2 = 194.25 in^2

__

The area of the wood Stephan has is ...

  A = LW = (18 in)(12 in) = 216 in^2 . . . . . . more than required

__

Stephan does have enough wood to make the tray, because he has 216 square inches, which is more than he needs to make the tray, 194.25 square inches.

Answer:

Several ways, take the diameter and divide it by half.

Take the circumference "C" and r = C/2π

Step-by-step explanation:

Recall the Pythagorean identity,

[tex]\sec^2\theta=1+\tan^2\theta[/tex]

So we have

[tex]\sec^2\theta=4+2\tan^2\theta[/tex]

[tex]1+\tan^2\theta=4+2\tan^2\theta[/tex]

[tex]-3=\tan^2\theta[/tex]

But squaring any real number always gives a non-negative number, so there are no real solutions to this equation.

Answer:

2.09, 2.59, 2.9

Step-by-step explanation:

Answer:

2.09, 2.59, 2.9

Step-by-step explanation:

hope this helps have a wonderful day

Step-by-step explanation:

If T:Rn→Rm is a linear transformation and if A is the standard matrix of T, then the following are equivalent:

 1.  T is one-to-one.

 2. T(x) = 0 has only the trivial solution x=0.

 3.  If A is the standard matrix of T, then the columns of A are linearly independent.

Here, A is a mxn matrix where m ≥ n and the rank of A equals n. It implies that the columns of A are linearly independent, for, otherwise, the rank of A would be less than n. Hence the linear transformation represented by A is one-to-one.

Answer:

  A:  y= -4/3x+120

Step-by-step explanation:

The blue line on the plot has a y-intercept of +120, matching choices A and B only.

The line has a negative slope, matching choice A. If you count grid squares, you find the slope is -40/30 = -4/3, also matching choice A.

Answer:

 A:  y= -4/3x+120

Answer:

28.81cm

Step-by-step explanation:

c=2TTy

Answer: 6

Explanation: The mean of a data set is the sum of the numbers in the data set divided by however many numbers are in the data set.

So, let's begin by adding the numbers.

So we have 3 + 2 + 2 + 12 + 6 + 5 + 14 + 4 which is 48.

Now we divide 48 by the number of numbers in the set which is 8.

48 ÷ 8 is 6.

So the mean of the given data set is 6.

Answer:

  32.5% sugar

Step-by-step explanation:

You want to know the sugar concentration in the mix of two 250-mL cans of soft drink, one of which is 20% sugar, and the other of which is 45% sugar.

The fraction of sugar in the mix is the weighted average of the fractions in the contributors. The weights are the volumes. Since the volumes are equal, the weights are equal, so the fraction in the final mix is simply the average of the two fractions:

  (20% +45%)/2 = 65%/2 = 32.5%

The sugar concentration of the mixed soft drink is 32.5%.

Answer:

[tex] Range =1.41-0.66 = 0.75[/tex]

[tex] \bar X = 1.171 W/Kg[/tex]

[tex] s^2 = 0.0607[/tex]

And taking the square root we got the sample deviation:

[tex] s = \sqrt{0.0607}= 0.246 W/kg[/tex]

Step-by-step explanation:

For this case we have the following datset given:

0.83 1.39 1.39 1.03 0.66 1.26 1.39 1.18 1.41 1.19 1.15

We need to find the range, and the range is defined by:

[tex] Range = Max -Min[/tex]

And replacinng we got:

[tex] Range =1.41-0.66 = 0.75[/tex]

Then we can find the sample variance, but firt we need to find the sample mean with this formula:

[tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

And replacing we got:

[tex] \bar X = 1.171 W/Kg[/tex]

Now we can find the sample variance with this formula:

[tex] s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}[/tex]

And replacing we got:

[tex] s^2 = 0.0607[/tex]

And taking the square root we got the sample deviation:

[tex] s = \sqrt{0.0607}= 0.246 W/kg[/tex]

Answer:

ZYX- CBA

Step-by-step explanation:

ZYX is backwards

so cba needs to be too

Answer:

ZYX-CBA

Step-by-step explanation:

welcome

Answer:

4.3 cm

Step-by-step explanation:

length - width: 11.9 - 7.6 = 4.3

The required answer is 4.3 cm.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Here given that,

He draws a rectangle that has a length of 11.9 cm.

And, a width of 7.6 cm

The required answer is:

length - width: 11.9 - 7.6 = 4.3

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Answer:

10 and 5

Step-by-step explanation:

k=2

Step-by-step explanation:

since all the base are 10 you use the powers to solve it.

so it would be -3+1+k=-3=-3

Answer:

k = -1

Step-by-step explanation:

I did the test, good luck! :)