After a company celebrated its ten year anniversary, the president of the company wanted to know how long employees have been with the company. Human resources provided the president with the box plot below.
Using the box plot, determine the best measures of the data.

The best measure of center is the (blank)
, and the best measure of variability is the (blank)
.

The number that best summarizes the data is (blank)
years of service.

The number that best describes how the data varies is (blank)
years of service.

Answer:

864 km

Step-by-step explanation:

Hope this helps! (I would appreciate brainliest, if not that's okay!!)

Answer:

1. 18

2. 181

3. 101

Step-by-step explanation:

They want you to take each equation, and replace the letter with the number they give you after the equation.

3m + 2n + 4; m = 2, n = 4

This becomes

3(2) + 2(4) + 4

We multiply before we add, according to the order of operations. So next, the equation becomes:

6 + 8 + 4

= 18

———-

D^2 + 9k ; D = 10, k = 9

Numbers squared are numbers multiplied by themselves.

(10)(10) + 9(9)

= 100 + 81 = 181

——————-

3m + 4y x 2 ; m = 7, y = 10

3(7) + 4(10) x 2

21 + 40 x 2

Remember, multiplication always comes before addition.

21 + 80 = 101

Please let me know if you have questions on this.

Answer:

(a) Their rates of change differ by 2

Step-by-step explanation:

Given

See attachment for functions M and P

Required

Determine what is true about the rates of M and P

First, we calculate the slope (i.e. rate) of both functions.

Slope is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

From the table of M, we have:

[tex](x_1,y_1) = (-2,-9)[/tex]

[tex](x_2,y_2) = (2,11)[/tex]

So, the slope is:

[tex]m_M = \frac{11 --9}{2--2}[/tex]

[tex]m_M = \frac{20}{4}[/tex]

[tex]m_M = 5[/tex]

For function P, we have:

[tex]y = 7x + 9[/tex]

A function is represented as:

[tex]y = mx + b[/tex]

Where:

[tex]m = slope[/tex]

So, by comparison:

[tex]m_P = 7[/tex]

At this point, we have:

[tex]m_M = 5[/tex] --- Slope of M

[tex]m_P = 7[/tex] --- Slope of P

Only option (a) is true because both slopes differ by 2. i.e. 7 - 5 = 2

Other options are not true

Answer:

x = 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1. distribute 7 to x and 5.

42 = 7x + 35

2. subtract 35 on both sides.

7 = 7x

3. Divide by 7 for both sides.

1 = x

Answer:

1/2

Step-by-step explanation:

Answer:20=x i played around with the angles a bit untill it all fit in 360 (the angles all together equal up to 360 in a polygon)

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

7/8*2/5<2/5

Answer:

F

Step-by-step explanation:

10^2+24^2=676

26^2=676

Answer:

There are 16 nickels, 7 dimes, and 9 quarters.

Step-by-step explanation:

Aight, so lets set dimes as "x". Since there are 2 more quarters than dimes, quarters is "x+2". And since nickels is equal to dimes plus quarters, nickels takes the role of "(x+2)+x". We can simplify this by adding x and x together, so nickels is "2x+2" In this example, I'm converting these variables to cents, since it's easier than converting to dollars. Since a dime is 10 cents, 10 times x is"10x". Quarters are worth 25, so first we do x times 25 (25x) and then 2 times 25 (50). Then nickels. 2x+2 times 5 is 10x + 10. Alright, so now we have our cent values. $3.75 is 375 cents, so now we can make an equation:

10x + 25x + 50 + 10x + 10 = 375 cents.

I'm guessing you already know how to solve an equation, first combine like terms, then figure out how many times the variable goes into the numerical value. You should end up with 7, which is dimes. If we go back to our problem, we see that there are 2 more quarters, so 7+2= 9 quarters. As for nickels (9+7) there are 16 nickels.

There's probably a more efficient way to do this, but since I'm so... uh... inefficient, this is the best explanation I can do :p

Answer:

16 nickels 7 dimes 9 quarters

Step-by-step explanation:

im just that smarttttttt lol!! hope this helped

Answer:

B and C

Step-by-step explanation:

Answer: He bought 1 magazine and 3 comic books.

Step-by-step explanation: If comic books cost $1 and magazines cost $3, the equation for the problem should look like this: 2(m) + 1(c) = 5, since you know that the brother spent $5 in total. "m" represents the number of magazines purchased while "c" represents the number of comic books purchased. If you plug in 1 for "m" and 3 for "c", the equation would be true and would equal a total of $5. Also, 1 magazine and 3 comic books would mean that the little brother did, in fact, purchase 4 items.

Answer:

Step-by-step explanation:

5*12=60

60*22=1320

Answer:

1 5/7

Step-by-step explanation:

12 ÷ 7 = 1R5, therefore, we have 1 whole and 5/7

Hope I helped

Answer:

Step-by-step explanation:

If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form

V=lwh/3

=3*1*7/3

=21/3

=7

Hope you like my answer.

Answer:

V=7 (Volume)

Step-by-step explanation:

V=lwh/3=3*1*7/3=7

Answer: $1,200

Step-by-step explanation:

If you use the simple interest formula, I = (p)(r)(t), you’ll replace it with I = 4,000 x 0.06 x 5 it’ll give you $1,200 :)

Answer:

Simplifying

6z2 + -8z + 1 = 0

Reorder the terms:

1 + -8z + 6z2 = 0

Solving

1 + -8z + 6z2 = 0

Step-by-step explanation:

Answer:

$31.50

Step-by-step explanation:

So first thing, it's necessary to figure out what 30% of 45 is.

You can set this up as an algebraic expression or your can multiple 45 by 3/10 to find out what that 30% is.

The algebraic expression would be 30% of 45 is x.

Using one of these two options; we would discover that 30% of 45 is 13.5.

However, this is not the answer, yet.

The question is looking for the price of the dress after the 13.5 is taken away.

Therefore, you would subtract.

45 - 13.5 = 31.5

Sooooo... your answer is "The sale price of the dress is $31.50."

Answer:

es la B. El numerador es cuatro veces menor que el denominador, que corresponde al resultado de 8 · 2.

Answer:

What is x? I will tell you the answer in the comments!! Thank you!!

Step-by-step explanation:

sin z = 5/6

since sin= opposite/hypo

Answer:

decimal form = 56.4426....

degree form = 56 degrees 26 minutes 33.68 seconds

Step-by-step explanation:

sin theta = opposite/hypotenuse

sin theta = 5/6

theta = sin-1 (5/6)

Answer:

4.4

Step-by-step explanation:

The mean absolute deviation is 4.4, and you can just search "mean absolute deviation calculator ".

Answer:

the last one the red one or is that orange is right

Step-by-step explanation:

Answer:

Discriminant = 49, two real solutions

Step-by-step explanation:

Discriminant = b² - 4ac = (5)² - 4(3)(-2) = 25 + 24 = 49

Since 49>0, then the quadratic equation has two real solutions.

Answer:

D=49  

x=1/3

x= -2

Answer:

0.481

Step-by-step explanation:

P(A U B) = P(A) + P(B) - P(A∩B)

              = 0.3 + 0.43 - 0.249

              = 0.73 - 0.249

              = 0.481

Answer: B, 120

Step-by-step explanation:

look at x-value 8 and find y-value

Answer:

the cost of 8 shirts would be $120.

Step-by-step explanation:

if you go to the 8 on the bottom where it says "number of shirts" and you follow that line up to the blue dot and then over, you reach 120 on the side where it says "cost" so your answer would be $120.

Answer:

No, Cindy is not correct.

Step-by-step explanation:

1/4 divided by 12 is dividing by a fraction

So:

1/4 / 12/1 = 1/4 x 1/12=1/48

1/48 is not equal to 3

Answer:

D) 6.8 inches

Step-by-step explanation:

1.7 x 4 = 6.8 inches