What is the interquartile range (IQR) of the data set represented by this box
plot?
38
45
50
68
75

Answer:

Simplify the expression.

12xy−72yexponent 2 -6x

Step-by-step explanation:

got it from mathaway

Answer:

About 186,000 miles per second.

Step-by-step explanation:

Answer:

55 MPH

Step-by-step explanation:

55 x 2.4 = 132

33 x 4 = 132

Answer:

Step-by-step explanation:

This is very true because everybody knows when water freezes at 0º and it will boil at a high temperature too so you're right

:)

Answer:28 / 4 = -7.

Step-by-step explanation:

28 / 4 = -7.28 / 4 = -7.28 / 4 = -7.

Answer:

D.

Step-by-step explanation:

Your graph of f(x)= [tex]x^2[/tex] is the parent function. What you need to know for this graph what the stretch or compression is and what the flip is. When you flip somehting over the x-axis, which is g(x), your [tex]x^2[/tex] is negative. Also, since your graph gets skinnier, the number before the x would be a whole number, with no fractions. The only answer that fulfills this is answer choice D.

Answer:

D

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

not sure if the x after the 9 was a variable of the letter x or multiplication i put it as multiplication.

The commission function is an illustration of the absolute functions

The commission for the sales of 7 cars is 16

The function is given as:

[tex]\mathbf{E(x)=\mid 5- \frac{6x}{2}\mid}[/tex]

When an employee sells 7 cars, we have:

x = 7

So, the equation becomes

[tex]\mathbf{E(x)=\mid 5- \frac{6\times 7}{2}\mid}[/tex]

Simplify

[tex]\mathbf{E(x)=\mid 5- 3\times 7\mid}[/tex]

[tex]\mathbf{E(x)=\mid 5- 21\mid}[/tex]

Simplify

[tex]\mathbf{E(x)=\mid- 16\mid}[/tex]

Remove absolute brackets

[tex]\mathbf{E(x) = 16}[/tex]

Hence, the commission for the sales of 7 cars is 16

Read more about absolute functions at

https://brainly.com/question/1389494

Answer:

it is a whole number, 30. please give me more details if you want it as a mixed number.

Step-by-step explanation:

31+-1 (31-1)= 30

Answer:

Step-by-step explanation:

7 students have cats only

6 students have dogs only

9 students have dogs and cats

3 students don't have cats or dogs

+ -----------------------------------------------------

25 students in total

The auditorium will be full after 80 minutes

The total number of seats in the auditorium is the sum of all the people in the auditorium when it is full

Total number of people in the auditorium = 300

Every 10 minutes,15 people leave and 40 people sit down

Number of people joining the room every 10 minutes = 40 - 15

Number of people joining the room every 10 minutes = 25

The number of people originally in the room = 100

Number of people remaining for the auditorium to get full = 300 - 100

Number of people remaining for the auditorium to get full =  200

Number of times 25 people join the auditorium = 200/25

Number of times 25 people join the auditorium = 8

Since 25 people join every 10 minutes for 8 different times:

Time taken for the auditorium to be full = 10(8)

Time taken for the auditorium to be full = 80 minutes

Therefore, the auditorium will be full after 80 minutes

Learn more here: https://brainly.com/question/24962274

Step-by-step explanation:

third quadrant ( option C) is the correct answer.

hope this helps you.

Answer:it’s B cutie

Step-by-step explanation:

Answer:

Answer:

1. x15 (a)

2. 1/x15 (b)

Step-by-step explanation:

multiply exponents

simplify expression

Step-by-step explanation:

Answer:

that's an angle bisector my man

Corresponding Angle is the answer

Answer:

Breadth/width = 1.936cm, length = 7.746cm

Step-by-step explanation:

Perimeter of a rectangle would be [tex]2L*2W=60cm[/tex] in this case. Breadth is width.

But we can rewrite this equation given that the width is 1/4 the length. This means 4 of the widths would equal one length.

[tex]W=\frac{1}{4}L[/tex]

[tex]L=4W[/tex]

We can substitute L with the 4W

[tex]2(4W)*2(W)=60cm[/tex]

Now we can just solve for the width W.

[tex]8W*2W=60\\16W^2=60\\W^2=\frac{15}{4} \\W=\sqrt{\frac{15}{4} } \\W=\frac{\sqrt{15} }{2}=1.936cm[/tex]

We now know the width is about 1.936cm

We can find the length given our formula before of [tex]L=4W[/tex]

[tex]L=4(\sqrt{\frac{15}{2} } )=2\sqrt{15} =7.746cm[/tex]

So the breadth/width is 1.936cm and the length is 7.746cm.

Answer:

D

Step-by-step explanation:

y-y1=m(x-x1) through (4,4)

x-3y= -18 is perpendicular : m1*m2=-1

y=mx+c

-3y=-18-x

3y= 18+x

y=x/3 + 6

y= 1/3x + 6

m1*m2= -1

m1= -1/m2

m1= -1/1/3

m1= -3

y- 4= -3(x - 4)

y-4= -3x +12

y= -3x +12+4

y= -3x + 16

Answer:

0.887 kg

Step-by-step explanation:

3.548/4=0.887

Answer:

.887 kg per container

Step-by-step explanation:

Take the total amount of peanut butter and divide by 4

3.548 / 4

.887 kg per container

Answer:

velosity= distance ÷ time

Step-by-step explanation:

[tex]3 \times \frac{2}{5} \div \frac{2}{3} = \\ \frac{17}{5} \times \frac{3}{2} = \frac{51}{10} = 5.1[/tex]

Answer:

-5

Step-by-step explanation:

4x-3 = 7x+12

4x-15 = 7x

-15 = 3x

-5 = x

=======================================================

Work Shown:

Distance = rate*time

rate = distance/time

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

For Sarah, she runs 324 m in 61.3 seconds. Her speed is:

rate = distance/time

rate = (324 m)/(61.3 sec)

rate = (324/61.3) meters per second

rate = 5.28548 meters per second approximately

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

Repeat the same set of steps for Emily

rate = distance/time

rate = (324 m)/(60.4 sec)

rate = (324/60.4) meters per second

rate = 5.36423 meters per second approximately

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

The last thing to do is subtract the results we got

5.36423 - 5.28548 = 0.07875

This then rounds to 0.08 meters per second when rounding to two decimal places.

Answer:

x=2

Step-by-step explanation:

Answer:

X =2

Step-by-step explanation:

4X=8

X=8/4

X=2

Answer:

n = 1

Step-by-step explanation:

n - 6 = 5(n-2)

n - 6 = 5n - 10

-6 +10 = 5n - n

4 = 4n

n = 4/4

Answer:

$14

Step-by-step explanation:

53.85 divided by 3 is 17.95

63.90 divided by 2 is 31.95

31.95-17.95=14

Answer: $14

Step-by-step explanation:

First find out how much each child's ticket costs. 53.85/3 = 17.95. Then find of the same thing for an single adult ticket. 63.90/2 = 31.95. Finally we subtract both numbers 31.95-17.95= 14 dollars. Thats your answer

Answer:

[tex]6^{2}[/tex]

Step-by-step explanation:

Use power rules.

[tex]\frac{6^{7} }{6^{5} }[/tex]

[tex]6^{7-5}[/tex]

[tex]6^{2}[/tex]

Another way of solving in which the 6s on the numerator cancel with the 6s on the denominator:

[tex]\frac{6*6*6*6*6*6*6}{6*6*6*6*6}[/tex]

[tex]\frac{6*6}{1}[/tex]

6*6

[tex]6^{2}[/tex]

Answer:

A.

Step-by-step explanation:

Because it is a polynomial with highest degree of x = 2.

Answer:

First option: y = 5/6x + 12

Step-by-step explanation:

In the slope-intercept form, y = mx + b:

m = represents the slope

b = represents the y-coordinate of the y-intercept, (0, b).

In your given question, it states that the slope (m) = 5/6, and the y-intercept is (0, 12). This means that the value of (b) for your linear equation is the y-coordinate of (0, 12). Therefore, the correct answer is:

y = 5/6x + 12

Answer:

its 2242.81

Step-by-step explanation:

2.5 (pp. 109-111). 5. y = ax. -21 = a(6). (2,-2) f(x) = -X-1 ... [31 + 25 42 + 36 18+ 127_[56 78 307 ... A = Pert = 2000€(0.04)(5) = $2442.81.