Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The difference of the range and the interquartile range of the data set represented by the box plot is _______.

Answer:

-3/2,collinear.

Step-by-step explanation:

slope of PQ=(0-3)/(2-0)=-3/2

eq. of line PQ is

y-3=-3/2(x-0)

y-3=-3/2 x

or2y-6=-3x

or 3x+2y=6

if R(4,-3) lies on it,then

3(4)+2(-3)=6

12-6=6

or 6=6

which is true.

Hence points P,Q,R are collinear.

and line has aslope=-3/2

Answer:

-3/2

Step-by-step explanation:

Answer:

I just learned this a few months ago! Your lucky! Answer= 49! happy to help:D

Step-by-step explanation:

c Squared = 6 squared+ 1 squared

c squared= 7 squared

7 squared= 49

c = 49

Answer:

p, because triangle ABC - triangle EDC

Step-by-step explanation:

Answer:

No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate

=> 52 + 3w >= 90

Step-by-step explanation:

Given that Antonina needs to have worked at least 90 volunteer hours to graduate means that she needs to volunteer either for 90 hours or more than that . Mathematically this can be written as

Total volunteer hours required to graduate greater than or equal to 90

Total volunteer hours required to graduate>= 90

No. of hours already volunteered = 52

no. of hours left for volunteering = Total volunteer hours required to graduate - No. of hours already volunteered = 90 - 52 = 38

No. of hours in one week she can dedicate for volunteering= 3

if w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours

then total volunteer hours dedicated in w weeks will be = w*No. of hours in one week she can dedicate for volunteering = w*3 = 3w

Thus,

No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate

=> 52 + 3w >= 90

Answer:

3.5

Step-by-step explanation:

pythagorean therom 1.6^2+3^2=x^2

Answer:

x = 3.4

Step-by-step explanation:

→You can use the Pythagorean Theorem to solve this:

[tex]a^2+b^2=c^2[/tex]

→The "a," and "b," are the legs, 3 and 1.6, and the "c," is the hypotenuse, which we are trying to find.

[tex]1.6^2+3^2=c^2[/tex]

[tex]2.56 + 9 = c^2[/tex]

→Add like terms (2.56 and 9) together:

[tex]11.56 = c^2[/tex]

→We need to get "c," by itself, and to do this we need to square root both sides, like so:

[tex]\sqrt{11.56} =\sqrt{c^2}[/tex]

[tex]3.4 = c[/tex]

Answer:

Yes

Step-by-step explanation:

The function f(x)= -(4/3)^-6x is exponential

Answer:

C!

Step-by-step explanation:

I would split the figure into 2 blocks by the dashed line.

Find the dimensions of each block.

The larger block's dimensions are

3 x 4 x 6

The smaller block's dimensions are

4 x 2 x 4

Now find the volumes.

72

32

Add the volumes

104

Answer:

It is C 104 m3

Step-by-step explanation:

Answer:

54m

Step-by-step explanation:

15+15+9+9+3+3

Answer:

the x should be 10x7-(9x6)

Step-by-step explanation:

because it should be 10x7-(4+30)

Answer:

The first line has a mistake, multiply and divide  before add and subtract

Step-by-step explanation:

10*7 - (4+5*6)

Parentheses first

10*7 - (4+5*6)

Inside the parentheses we multiply and divide first

10*7 - (4+30)

Answer:

A

Step-by-step explanation:

Remember that triangle's area is 1/2 x b x h. But we have 2 congruent triangles so we have 2 x 1/2 x b x h. so the area of 2 triangles is b x h.

You should know the areas of other sides.

5 x 6 + 6 x 12 + 6 x 13 + 5 x 12

Simplify!

30+72+78+60

90+150

240

Answer:

-3y-3

Step-by-step explanation:

The difference:

7y+1 - (4y−12)= 3y + 13

Subtraction:

10- (3y+13)= -3y-3

Answer:

B

Step-by-step explanation:

[tex]-3\sqrt{2}+3\sqrt{8}= \\\\-3\sqrt{2}+3\sqrt{2\cdot 2^2}= \\\\-3\sqrt{2}+6\sqrt{2}= \\\\3\sqrt{2}[/tex]

Hope this helps!

Answer:

y = - 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x - 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (- 1, - 1) into the partial equation

- 1 = 3 + c ⇒ c = - 1 - 3 = - 4

y = - 3x - 4 ← equation of perpendicular line

Answer:

Algebraically

0.5x-7= √(-5x+29)

(0.5x-7)² = -5x+29

(0.5x)² - 2*0.5x*7 + 7² = -5x+29

0.25x² - 7x + 49 + 5x - 29 = 0

0.25x² - 2x + 20 = 0

Its discriminant is:

b² - 4*a*c

(-2)² - 4*0.25*20

-16 < 0

Therefore, the equation has no solutions.

Graphically

In the picture attached, the plots of the functions are shown. We can see that they don't intersect each other, and that is why there is no solution.

Answer:

180*2

Step-by-step explanation:

180*2=260

please mark brainliest

Answer:

The angle of the shaded region is 124.9°

Step-by-step explanation:

Since there's an region inside the circle that is shaded and has an area of 34 pi square units, we can apply the circle's sector area's formula in order to find the angle of this region. The formula is given by:

[tex]\text{sector area} = \frac{\text{angle}*\pi*r^2}{360}\\[/tex]

Applying the data from the problem gives us:

[tex]34*\pi = \frac{angle*\pi*(7*\sqrt{2})^2}{360}\\34 = \frac{angle*(49*2)}{360}\\98*angle = 34*360\\angle = \frac{12240}{98} = 124.9\°[/tex]

The angle of the shaded region is 124.9°

Answer:

x=7

Step-by-step explanation:

9x+20x+16+12x+10+7x-2=360

48x+24=360

48x=360-24

48 x=336

x=336/48=7

Answer:

50degrees

subtract 180with140and with 90 then add

Answer:

50˚ "D"

Step-by-step explanation:

All you have to do is subtract  140 by 90

Your equation should look like this: 140-90

Answer:

3:5 Is the ratio because there are five pieces of cheese.

Step-by-step explanation:

If there are 12 pieces, then you can add 4 and 3 together and get 7 and then you can take 7 from 12 and get 5 which is how many cheese pieces there are. Now you know that there are 3 slices of pepperoni and 5 pieces of cheese. Therefore the ratio is 3:5.

Answer:

127 1/2 feet

Step-by-step explanation:

A model lighthouse uses a scale of 1/4 inch = 5 feet.

This means that 1/4 inch on the model represents 5 feet in actual life.

The height of the model lighthouse is  6 3/8 inches i.e. 51/8 inches.

The height of the actual lighthouse is:

1/4 inch = 5 feet

51/8 inches = x

Cross-multiply:

51/8 * 5 = 1/4 * x

=> x = 51/8 * 4 * 5

x = 127 1/2 feet

The height of the actual lighthouse is 127 1/2 feet.

Answer: 1 3/5

Step-by-step explanation:

if you have 8 cookies and want to share it with 5 total people you divide it so 8/5 is 1.6

Answer:

Both are correct because after substituting the same value into both expressions, the result is the same.

Step-by-step explanation:

Given the expression:

(1/6)*(6*x + 12) - (1/2)*(4*x + 2)

Applying distributive property:

(1/6)*6*x + (1/6)*12 - (1/2)*4*x - (1/2)*2 =

= x + 2 - 2x - 1 =

= -x + 1

Then, for any number substituted into both equations, the result is the same

Answer:

c: Both are correct because after substituting the same value into both expressions, the result is the same.

Step-by-step explanation:

did it on edge 2020

Answer :35,000

Step-by-step explanation:

I’m not sure if this is correct but I think you just have to multiply the two

Answer:

I think it's 5-2i

Step-by-step explanation:

=(2+3i)+(3-5i)

=2+3i+3-5i

=2+3-5i+3i

=5-2i

hope it helps

Answer: x-intercept

The x-intercept is the point where a line crosses the x-axis.

All x-intercepts have a y-coordinate of 0.

As an ordered pair, we can write this as (-19.164, 0).

Answer:

239.556

Step-by-step explanation:

Difference of ratio=9-5=4

Sum of ratio=9+5=14

we know that Eric got $56 more

which means

4/14=56

1/14=56/4

1/14=14

1=14*14

=196

now we need to find

9/14=(196*14)/9

      = 239.556

Answer:

I found it on quizlet and it helped me out a lot :)

Step-by-step explanation:

just look up your question on quizlet then tap on a quiz then tap on view flashcards and once you see your question stop and tap the flashcard then the flashcard will flip and your answer will be on the back of it

Answer:

41

Step-by-step explanation:

3 unit= 15

4unit = 15/3 x 4= 20

20+21=41

Answer:

The correct answer is 41.

Step-by-step explanation:

unit 3: 15

unit 4: 15/3 x 4= 20

Then add 20 and 21 together and you get 41.

For the given set, the average is 13.5 years, and the standard deviation is 17.02 years.

Here we know that the ages of the bears are {5, 4, 6, 39}, then the average of these 4 values is:

[tex]A = \frac{5 + 4 + 6 + 39}{4} = 13.5[/tex]

So the average age of the bears is 13.5 years.

The standard deviation for the given set will be:

[tex]S_X = \sqrt{\frac{(5 - 13.5)^2 + (4 - 13.5)^2 + (6 - 13.5)^2 + (39 - 13.5)^2}{4 - 1} } \\\\S_X = 17.02[/tex]

The standard deviation is 17.02 years.

If you want to learn more about sets of data, you can read:

https://brainly.com/question/475676