Use long division to find the quotient below.
(x^2 + 17x+72) - (x+8)

Use Long Division To Find The Quotient Below.(x^2 + 17x+72) - (x+8)

Answers

Answer 1

Answer:

x + 9

Step-by-step explanation:

(x²+17x+72)/(x+8)

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

(x2 + 8x + 9x + 72)= (x + 9)(x+8)

(x²+17x+72)/(x+8) =  x + 9

Answer 2

Answer:

IT IS D.

Step-by-step explanation:

(x2 + 8x + 9x + 72)= (x + 9)(x+8)

(x²+17x+72)/(x+8) =  x + 9

HAVE A NICE DAY! :)))

P.S PLEASE PICK ME AS BRAINLIEST

THX!


Related Questions

2. Find the LCM of 3, 11, and 12.
O 396
0 264
O 132
O 33

Answers

Answer:

132

Step-by-step explanation:

3 x 44= 132

11 x 12 = 132

Answer:

C)132

Hope this helps

Explanation) LCM(3, 11, 12) = 132

What is the numerator of the simplified sum? StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction

Answers

Answer:

4x + 6

Step-by-step explanation:

Given

[tex]\frac{x}{x^2+3x+2}[/tex] + [tex]\frac{3}{x+1}[/tex]

Before we can add the fractions we require them to have a common denominator.

Factor the denominator of the first fraction

[tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3}{x+1}[/tex]

Multiply the numerator / denominator of the second fraction by (x + 2)

= [tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3(x+2)}{(x+1)(x+2)}[/tex] ← fractions now have a common denominator

Add the numerators leaving the denominators

= [tex]\frac{x+3(x+2)}{(x+1)(x+2)}[/tex]

= [tex]\frac{x+3x+6}{(x+1)(x+2)}[/tex]

= [tex]\frac{4x+6}{(x+1)(x+2)}[/tex] ← simplified sum with numerator 4x + 6

A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two airplanes are separated by an angle of 58°. The large plane is 5.2km from the observation tower. a. Draw a diagram to represent this situation. b. How far is the small plane from the observation tower, to the nearest tenth of a kilometer?

Answers

Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

[tex]\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ[/tex]

Next, we determine the value of Angle B.

[tex]\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ[/tex]

Finally, we find b.

[tex]\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)[/tex]

The distance between the small plane and the observation tower is 7.9km.

What is the standard form for the quadratic function? g(x)=(x+1)2−2 g(x)=x2−1 g(x)=x2−2x−4 g(x)=x2+2x−1 g(x)=x2−3

Answers

Answer:

x^2 + 2x - 1

Step-by-step explanation:

g(x)=(x+1)2−2 would be a quadratic if you'd write it like this:  g(x)=(x+1)^2−2.

This expands to g(x) = x^2 + 2x + 1 - 2  =  x^2 + 2x - 1

Match the measureable quantity given by its formula with the appropriate unit(s).
speed = distance/time
square meters
area = (length)(width)
meters per second
volume = (length) (width)(height)
UUOO
meters
perimeter = 2 (length) + 2 (width)
cubic centimeters
Intro
rity
Done

Answers

Answer: i hope this helps (answer is down below)

Step-by-step explanation:

Area goes to square meters

speed goes to meters per second

volume goes to cubic centimetres

perimeter goes to meters

A function is represented by the table. x y 3 -2 5 -26 7 -50 The rate of change of the function represented in the table is . For the given x- and y-values, the function is .

Answers

Answer:

Step-by-step explanation:

Here is your x/y table, a bit more organized:

  x |  3       5       7

  y | -2    -26    -50

The rate of change is the same thing as the slope. If the slope between coordinates 1 and 2 is the same as the slope between coordinates 2 and 3, we have a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. We will have to solve for b if we want to use this form. Or we could use the point-slope form and not have to solve for b. Let's do that. But first things first. The slope:

Between the first 2 coordinates (3, -2) and (5, -26):

[tex]m=\frac{-26-(-2)}{5-3}=\frac{-24}{2}=-12[/tex]

Between coordinates 2 and 3 which are (5, -26) and (7, -50):

[tex]m=\frac{-50-(-26)}{7-5} =\frac{-24}{2}=-12[/tex]

The slopes are the same, so this in fact a linear function with m = -12. But that's all we have, so let's use the point-slope form of a line to write the equation:

[tex]y-y_1=m(x-x_1)[/tex] where [tex]x_1[/tex] and [tex]y_1[/tex] are coordinates found in the table. Plugging in the first coordinate along with the slope of -12:

[tex]y-(-2)=-12(x-3)[/tex] and

y + 2 = -12x + 36 and

y = -12x + 36 - 2 so the equation for the line in slope-intercept form is

y = -12x + 34

Regardless of which coordinate point you choose as your x1 and y1, I promise you that you will still get the same equation for the line!

Answer:

hi its  -12 and decreasing.

ASAp !!!!!!!!!!! Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of P(h)? {h| 0 ≤ h ≤ 40} {h| 0 ≤ h ≤ 60} {P(h)| 0 ≤ P(h) ≤ 1,400} {P(h)| 0 ≤ P(h) ≤ 1,800

Answers

The set the describes the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}

How to determine the domain?

In this case, the domain represents the set of hours he is permitted to work

From the question, we understand that he cannot work more than 60 hours

This means that, the least number of hours to work is 0, and the highest is 60

So, the domain is 0 to 60

When represented properly, the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}

Read more about domain at:

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The table shows the ages of players on a football team.
Age
Frequency
a) Work out the mean age of the team.
Round your answer to 1 decimal place.
19
2.
20
3
21
1
b) A new player joins the team and raises
the mean age to 22.
22
4
23
1
Work out the age of this new player.

Answers

Answer: A) 20.9 ; B) 34years

Step-by-step explanation:

Given the following :

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

A)

MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY

F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11

MEAN(X) = 230 / 11

X = 20.9

B)

WHEN A NEW PLAYER WAS ADDED :

MEAN (X) = 22

Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

What would the busked of x be?

Answers

Answer:

x = 9

Step-by-step explanation:

Step 1: Look at graph

You can see that both ∠B's are the same. Therefore, both side lengths AD and CD are the same

Step 2: Set equations equal to each other

3x = 2x + 9

Step 3: Solve

x = 9

And we have our answer!

Answer:

9

Step-by-step explanation:

Here are Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151,
149
What is the variance rounded to the nearest tenth?

Answers

Answer:

The variance rounded to the nearest tenth is 691.8

Step-by-step explanation:

Xavier's bowling scores:

135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149

No. of observations n = 11

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{135+140+130+190+112+200+185+172+ 163+ 151+149}{11}\\Mean =157[/tex]

Formula of variance : [tex]\sigma^2=\frac{\sum(x_i-\bar{x})^2}{n}[/tex]

[tex]\sigma^2=\frac{(135-157)^2+(140-157)^2+(130-157)^2+(190-157)^2+(112-157)^2+(200-157)^2+(185-157)^2+(172-157)^2+(163-157)^2+(151-157)^2+(149-157)^2}{11}[/tex]

[tex]\sigma^2=\frac{7610}{11}[/tex]

[tex]\sigma^2=691.81[/tex]

Hence the variance rounded to the nearest tenth is 691.8

Line A passes through the points (-8, 5) and (-5, 4). Line B passes through the points (0, 1) and (4, -1). Which of the following describes the relationship between line A an line B?
.
Lines A and B are parallel, because they have the same slope
.
Lines A and B are parallel, because they have opposite reciprocal slopes.
.
Lines A and B are perpendicular, because they have opposite reciprocal slopes.
.
Lines A and B intersect, because their slopes have no relationship.

Answers

Answer:

Last option is the correct choice.

Step-by-step explanation:

Slope of line A = [tex]m=\frac{4-5}{-5-\left(-8\right)}=-\frac{1}{3}[/tex]

Slope of line B = [tex]m=\frac{-1-1}{4-0}=-\frac{1}{2}[/tex]

Lines A and B intersect, because their slopes have no relationship.

Best Regards!

Lines A and Line B intersect, because their slopes have no relationship.

What is slope of line?

Slope of line is defined as the angle of line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given,

Line A passes through the points (-8, 5) and (-5, 4)

Let

x₁ = -8, y₁ = 5

x₂ = -5, y₂ = 4

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in formula

m₁ = (4 - 5)/(-5 - (-8))

m₁ = (4 - 5)/(-5 + 8)

m₁ = -1/3

So, the slope of the line A is -1/3

Line B passes through the points (0, 1) and (4, -1).

m₂ = (-1 - 1)/(4 - 0)

m₂ = (-2)/(4)

m₂ = -1/2

So, the slope of the line B is -1/2

Hence, Lines A and Line B intersect, because their slopes have no relationship.

Learn more about Slope of Line here:

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Brian and his son have a total age of 84.Brian is 26 years older than his son .how old is Brian? ​

Answers

Brian and his son are 42. 84/2=42

Answer:

Brian = 55

Son = 29

Step-by-step explanation:

Let the ages of Brian and his son be

x +26 and x

Given that :

x + x + 26 = 84

2x + 26 = 84

2x = 58

x = 29.

We know that x is the age of Brian's son. so, Brian's age is 29 + 26 = 55

Hope this helps.

Good Luck

The probability that Paul wins in a raffle is given by the expression
p.

Write down an expression for the probability that Paul does not win.

Answers

Answer:

[tex]1 - p[/tex]

Step-by-step explanation:

Consider the [tex](\Omega, \mathcal{F}, \mathbb{P})[/tex] where [tex]\mathcal{F}[/tex] is sigma algebra and [tex]\mathbb{P}[/tex] is probabilistic measure. Denote [tex]A \subset \Omega[/tex] where Paul wins. By additivity of measure we know that

[tex]\mathbb{P}(A) + \mathbb{P}(\Omega \setminus A) = \mathbb{P}(\Omega) = 1[/tex].

So

[tex]\mathbb{P}(\Omega \setminus A) = 1 - \mathbb{P}(A) = 1 - p[/tex].

But [tex]\Omega \setminus A[/tex] is exactly the set where Paul does not win. Q.E.D.

HELP PLSSSS,I DON'T GET IT​

Answers

Answer:

Step-by-step explanation:

I THINK IT C

There are 135 people in a sport centre. 73 people use the gym. 73 people use the swimming pool. 67 people use the track. 36 people use the gym and the pool. 35 people use the pool and the track. 32 people use the gym and the track. 14 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility?

Answers

Answer:

P = 11/135 = 0.0815

Step-by-step explanation:

we can said that:

14 people use all three facilities18 people use just gym and track (32 people use the gym and the track less the 14 people that use all three facilities)21 people use just pool and track (35 people use the pool and the track less the 14 people that use all three facilities)22 people use just gym and pool (36 people use the gym and the pool less the 14 people that use all three facilities)14 people use just the track (67 people use the track less the 18 people that use just the gym and the track, the 21 people that use just the pool and the track and 14 people that use all three facilities)16 people use just the pool (73 people use the swimming pool less the  the 21 people that use just the pool and the track, the 22 people that use just the gym and the pool and 14 people that use all three facilities)19 people use just the gym (73 people use the gym less the 18 people that use just the gym and the track, the 22 people that use just the gym and the pool and 14 people that use all three facilities)

So, there are 124 people that use the gym, the pool or the track. This is calculated using the information above as:

14 + 18 + 21 + 22 + 14 + 16 + 19 = 124

Finally, there are 11 ( 135 - 124 = 11 ) people that don't use any facility, so the probability that a person doesn't use any facility is:

P = 11/135 = 0.0815

Answer:

0.0815

Step-by-step explanation:

Calculate the mean and standard deviation of the data set ...

Answers

Answer:

Mean: 12.9

Standard deviation: 14.8

Step-by-step explanation:

The mean is calculated adding all of the values and dividing by the number of elements:

[tex]m=\frac{2+3+7+12+1+4+27+49+11}{9}=\frac{116}{9}=12.9[/tex]

to find the standard deviation, we first find the variance (which is defined as the sum of all the elements subtracting the mean and squared and then dividing by the total amount of elements):

[tex]v=\frac{(2-12.9)^2+(3-12.9)^2+(7-12.9)^2+(12-12.9)^2+(1-12.9)^2+(4-12.9)^2+(27-12.9)^2+(49-12.9)^2+(11-12.9)^2}{9}\\[/tex]

[tex]v=\frac{1978.89}{9}\\[/tex]

[tex]v=219.88[/tex]

Noe that we have the variance, we can calculate the standard deviation.

The stardard deviation is defined as the squared root of the variance:

[tex]standardDeviation=\sqrt{v}[/tex]

we substitute the variance:

[tex]standardDeviation=\sqrt{219.88} \\standardDeviation=14.8[/tex]

Thus, the answer is:

Mean: 12.9

Standard deviation: 14.8

20 points!!!! match the justification to each statement in the solution of x + 12.7 =-25.2.

Answers

Answer: x + 12.7 = -25.2 ✓given

x + 12.7 -12.7 = -25..2 -12.7 ✓ Subtraction property of equality

x + 0 = -37.9 ✓ Additive inverse and simplification

x = -37.9 ✓ Identity property

Step-by-step explanation: Put the steps in order. Then it makes some sense. Why is the step "legit"?

Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 823, makes the most sense

Answers

Answer:

He's wrong, he should have divided both sides by 3

b≤8.66666

Step-by-step explanation:

Answer:

Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 8 2/3, makes the most sense?

Step-by-step explanation:

A given line has the equation .

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?




Answers

Answer:

y-6x = 9

Step-by-step explanation:

The question is incomplete. Here is the complete answer.

A given line has the equation 2x + 12y = −1.

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?

General formula of equation of a line is exspressed as y = mx+c

m = gradient or slope  

c = intercept

Step 1: we need to first get the slope of the given equation of a line by rewriting the equation in standard form y = mx+c

2x + 12y = −1

12y = -1-2x

y = -1/12-2x/12

y = -1/6 x - 1/12

From the equation above, it can be seen that the slope (m) of tghe line is -1/6.

Since both lines are perpendicular, the slope of the unknown line will be;

M = -1/m

M = -1/(-1/6)

M = 6

Step 2: We will find the intercept c by substituting the point (0,9) and the slope into the equation y = mx+c

9 = 6(0)+ c

c = 9

Stwp 3: We will find the equation of the line perpendicular to the given line by substituting the value of m and c into the equation y = mx+c

y = 6x+9

y-6x = 9

The equation in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9) is y-6x = 9

Answer:

y-6x=9

Step-by-step explanation:

Which of the following linear equations passes through points (-1,5) and (1,-5)?

Answers

Answer:

y = -5x

Step-by-step explanation:

I would greatly appreciate the help of these two questions!!
Please hurry? :')

Answers

Answer:

b

Step-by-step explanation:

Δ QRP and Δ XRY are similar, thus ratios of corresponding sides are equal, that is

[tex]\frac{XY}{QP}[/tex] = [tex]\frac{RY}{RP}[/tex] , substitute values

[tex]\frac{XY}{4}[/tex] = [tex]\frac{4}{8}[/tex] ( cross- multiply )

8XY = 16 ( divide both sides by 8 )

XY = 2

i’ve tried multiple ways to answer this question, and i’m so stuck! :( could anyone help me please!

Answers

Answer:

160 ounces

Step-by-step explanation:

32 ounces x 5=160  ounces

A system of equations consists of a line s of the equation y = x – 5 and a line t that passes through the points (0, 2) and (8, –4). Answer the questions about line t to write the equation.

Answers

Answer:

Slope = [tex]-\frac{3}{4}[/tex]

y-intercept = 2

Equation of the line 't': [tex]y=-\frac{3}{4}x+2[/tex]

Step-by-step explanation:

Slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is represented by,

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

Since line 't' is passing through two points (0, 2) and (8, -4),

Slope of the line 't' = [tex]\frac{2+4}{0-8}[/tex]

                           m = [tex]-\frac{6}{8}[/tex]

                           m = [tex]-\frac{3}{4}[/tex]

Since y-intercept of a line is the value of 'y' for x = 0 [from point (0, 2) lying on this line]

Therefore, Y-intercept of line 't' = 2

Slope intercept of an equation is,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, equation of the line 't' will be,

[tex]y=-\frac{3}{4}x+2[/tex]

Ash and Misty are both travelling by train. Ash's train travels 80 km in 50 minutes. Misty's train travels 160 km. It leaves at 12:35 and arrives at 15.05. Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer:

∆v = 32 km/h

the difference, in km/h, between the average speed of their trains is 32 km/h.

Step-by-step explanation:

For Ash's Train;

Distance travelled d1 = 80km

Time taken t1 = 50 minutes = 5/6 hour

Average speed = distance travelled/time taken

v1 = d1/t1

Substituting the values;

v1 = 80/(5/6)

v1 = 96km/h

For Misty's train;

Total distance travelled d2 = 160 km

Time taken t2 = 15:05 - 12:35 = 2 hours 30 minutes

t2 = 2.5 hours

v2 = d2/t2 = 160/2.5

v2 = 64 km/h

the difference, in km/h, between the average speed of their trains is;

∆v = v1 - v2 = 96km/h - 64 km/h = 32 km/h

∆v = 32 km/h

the difference, in km/h, between the average speed of their trains is 32 km/h.

Answer:

32km/h

Step-by-step explanation:

If the sum of first 9 terms of an A.P is equal to sum of its first 11 terms, then what is the sum of its 20 terms?


Pls Anyone help me!!​

Answers

Answer:

Put the values into the formula....let me know if you need help....

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Sum of the first 9 terms = 9/2 (2a + 8d)

Sum of the first 11 terms = 11/2 (2a + 10d)

S9 = S11

9a + 36d = 11a + 55d

2a = -19d

2a + 19d = 0...........(1)

S20 = 20/2 (2a + 19d)

= 20/2 (0) . .. ............from (1)

S20 = 0

Find the factors of 4x2-16x-9.

Answers

Answer:

Step-by-step explanation:

[tex]4x^2-16x-9.\\Writ -16x - as -a -difference\\ 4x^2 +2x-18x -9 \\Factor -out- common- terms\\2x(2x+1)-9(2x+1)\\ Factor -out (2x+1)\\(2x+1)(2x-9)[/tex]

I Hope It Helps :)

Answer:

[tex] \boxed{\sf (2x - 9)(2x + 1)} [/tex]

Step-by-step explanation:

[tex] \sf Factor \: the \: following: \\ \sf \implies 4 {x}^{2} - 16x - 9 \\ \\ \sf Factor \: the \: quadratic \: 4 {x}^{2} - 16 x - 9. \\ \sf The \: coefficient \: of \: {x}^{2} \: is \: 4 \: and \: the \: constant \\ \sf term \: is \: - 9. \: The \: product \: of \: 4 \: and \: - 9 \: is \\ \sf - 36. \: The \: factors \: of \: - 36 \: which \: sum \: to \\ \sf - 16 \: are \: 2 \: and \: - 18. \\ \sf So, \\ \sf \implies 4 {x}^{2} - (18 - 2)x - 9 \\ \\ \sf \implies 4 {x}^{2} - 18x + 2x - 9 \\ \\ \sf \implies 2x(2x - 9) + 1(2x - 9) \\ \\ \sf Factor \: 2x - 9 \: from \: 2x(2x - 9) + 1(2x - 9) : \\ \sf \implies (2x - 9)(2x + 1)[/tex]

Match each whole number with a rational, exponential expression.

Answers

Answer:

1. 343^2/3 = 49

2. (2197^1/3)² = 169

3. 729^2/3 = 81

4. (1000²)^1/3 = 100

5. (³√9261)² = 441

6. ³√216² = 36

Hope this helps.

0.45?
How much do this equal

Answers

Answer:

.45

$0.45

45%

45/100

Step-by-step explanation:

The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.

Which statement is true about the data?

-The mean of Box A is greater than the mean of Box B.
-The mean of Box B is greater than the mean of Box A.
-The median of Box A is greater than the median of Box B.
-The median of Box B is greater than the median of Box A.

Answers

Answer:

D: The median of Box B is greater than the median of Box A.

Step-by-step explanation:

edg2020

The median of Box B is greater than the median of Box A. Then the correct option is D.

What is Mean?

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

The mean is given as the ratio of the sum of the observation and the number of the observation.

The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.

The mean of Box A will be

⇒ (32 + 32 + 28 + 28 + 28 + 28 + 25 + 25 + 35 + 32) / 10

⇒ 29.3

The mean of Box B will be

⇒ (48 + 20 + 32 + 20 + 32 + 32 + 40 + 20 + 21 + 28) / 10

⇒ 29.3

The median of Box A will be

⇒ 25

The median of Box B will be

⇒ 30

The median of Box B is greater than the median of Box A.

Then the correct option is D.

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What are TWO equivalent expressions for 2(3j+ 5 + 6j) Remember I need TWO equivalent expressions.

Answers

Answer:

Hope it helps:) 18j+10

Step-by-step explanation:

(2)(3j+5+6j)

(2)(3j)+(2)(5)+(2)(6j)

6j+10+12j

18j+10

Other Questions
Data on the number of work days missed and the annual salary increase for a companys employees show that, in general, employees who missed more days of work during the year received smaller raises than those who missed fewer days. A detailed analysis shows that the number of days missed explains 60% of the variation in salary increases. What is the correlation between the number of days missed and salary increase? What is the area of the triangle below?18 subract 5 5/21 from 13 1/7 What did the Slaughterhouse Cases do for American businesses? A. They allowed food industries to stay in cities. B. They showed that businesses had rights. C. They opened companies to more shareholders. D. They removed rules from food industries. Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP What is the solution to this equation?7x-2(x - 10) = 40O A. x= 10O B. x= 4O c. x = 12O D. x= 6 A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to compare the typical mortgage owed by their clients against other homebuyers. The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500. Suppose a random sample of 150 Americans is selected. Identify each of the following, rounding your answers to the nearest cent when appropriate:1. $mu=?2. $sigma=?3. $=n=$4. $mu_{overlinex}=$x=?5. $sigma_{overlinex}=$x=? Suppose we take repeated random samples of 50 college students from the same population and determine a 95% confidence interval for the mean GPA from each sample. Which of the following statements is true regarding the confidence intervals?A. The intervals are centered around the population mean GPA.B. The intervals are centered around the sample mean GPA.C. 95% of the intervals will contain the sample mean in the long run.D. 95% of the intervals will contain the population mean in the long run. The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, 2). Blue line goes through (0, 1) and (1, negative 2). Pink line goes through (0, 2), and (2, 1.5). Orange line goes through (negative 2, negative 2.5) and (2, negative 1.5). Nathans Athletic Apparel has 2,000 shares of 5%, $100 par value preferred stock the company issued at the beginning of 2017. All remaining shares are common stock. The company was not able to pay dividends in 2017, but plans to pay dividends of $22,000 in 2018.Required: 1. & 2. Assuming the preferred stock is cumulative and noncumulative, how much of the $22,000 dividend will be paid to preferred stockholders and how much will be paid to common stockholders in 2018? CumlativeNon Cumlativepreferred Dividends for 2018preferred Dividends in arrears for 2017Remaining Dividends to common stockholdersTotal Dividens: Type the correct answer in the box. Spell all words correctly.Fill in the blank with the name of the correct person.______. was the first one to follow the teachings of Prophet Muhammad What does it mean for heat to be transferred by convection?O A. Energy is transferred through moving currents of warmer air orliquid.O B. Energy is transferred through converting bond energy to kineticenergyC. Energy is transferred when molecules absorb electromagneticweesO D. Energy is transferred when one molecule collides with another Consider the following transactions for Partytime Toys:October 8 Partytime Toys buys $141,800 worth of MegoBloack toys on account with credit terms of 2/10, n/30October 11 Partytime Toys returns $14,100 of the merchandise to MegoBlock due to damage during shipment.October 15 Partytime Toys paid the amount due, less the return and discount.Required1. Journalize the purchase transactions. Explanations are not required.2. In the final analysis, how much did the inventory cost Partytime Toys? Why is it important to keep your heart rate in your target heart rate zone A group of campers is going to occupy 4 campsites at a campground. There are 14 campsites from which to choose. In how many ways can the campsites be chosen?There arepossible ways to choose the campsites.CheckEnter your answer in the answer box and then click Check Answer.Clear AllAll parts showing Which equation is represented by the graph below? On a coordinate plane, a curve starts at (0, 1) and then increases and approaches y = 7. y = e Superscript x Baseline + 5 y = e Superscript x Baseline + 4 y = l n x + 4 y = l n x + 5 Opposite in meaning of denied Adjoa denied that he ever committed the offence.(a) emphasized(b) argued(c) sorrow(d) admitted e)The surface area of foot of Bimaba is 150cm? If she weighs 50kg,how much pressure does she exert on the ground, as she stands onher one foot? (32666.67 pa) The last two months have made me a changed human being.essay about 700 words please answer this question Which identify similarities between Pilgrims and Puritans?Select all that apply.Both groups left France for England because of religious persecution.Both groups challenged Calvinists over the issue of predestination.Both were Protestant groups that were persecuted in England for their beliefs.Both groups migrated to the New World to be able to practice their religion freely.