The double box-and-whisker plot shows the numbers of correct answers on a test for each student in Room 212 and Room 214.


(a) Compare the populations using measures of center and variation.


(b) Express the difference the measures of center as a multiple of each measure of variation.

Step-by-step explanation:

the other answer is correct and simple (based on simply applying definitions and formulas).

to help you with understanding the background there are actually 2 direct ways to solve this.

trigonometry is always about angles in a circle. even if and when we are taking about angles in other shapes like triangles. we simply need to imagine a circle around the shape in question going through the important points.

so the first way is to imagine a circle with the center in point C and going through point A.

the radius of that circle is 40 (AC).

so, sin(C) × 40 = 24

cos(C) × 40 = 32

tan(C) = sin(C)/cos(C) = (sin(C)×40)/(cos(C)×40) = 24/32

= 3/4

fit the second way imagine a circle with the center again in point C and going through point B.

the radius of that circle is 32 (BC).

here now tan(C) × 32 = 24 (AB).

yes, AB would in that scenario be directly tan(C), but it is multiplied by the radius.

so, to get the "pure" tan(C), we need to divide this length by the radius.

=> 24 / 32 = 3/4

Question

Even wants to make a kneeling pad cushion for when he gardens for long periods of time. How much fabric should he buy to cover the cushion?​

Answer:

Surface area, 440 in 3

Step-by-step explanation:

I just did this question on my assignment on Edge 2021

Step-by-step explanation:

surface area, 440 in.2

Angle E and D are supplementary and need to equal 170 when added together.

Angle D = 180-35 = 145

Angle D is split into two with part of it being 44

The missing angle is 145-44 = 101 degrees

The answer is 101

Answer:

Step-by-step explanation:

36/16=90/r(since they are similar use this ratio)

do cross multiplication

16*90=36*r

1440=36r

1440/36=r

40=r

Answer:

[tex] \frac{36}{16} = \frac{90}{x} \\ x = 40 \: mm[/tex]

Answer:

52.6°

Step-by-step explanation:

cos(theta)= adj/hyp

hyp=28

adj=17

The first thing we need is the formula. SO what's the formula? the formula for Volume of all geometry object is Base * height, but because this is a sphere. The formula is actually 4/3πr^3! Remember, we also need units. so lets start solving. The radius is 5  meters so . 4/3π*5m^3. Therefore we have about 523.6meters^3. Hope you like my question

Answer = 523.6meters^3

The volume of the given sphere with radius 5 meters is given by 523.33 m³.

Any three-dimensional solid's volume is the area it takes up. The shapes of these solids include cubes, cuboids, cones, cylinders, and spheres. Forms come in a wide range of volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylinders, cones, and more.

As per the given data:

Radius of the sphere = 5 meters

Value of π as given in the question = 3.14

{always use the same value of π as given in the question}

For finding the volume of a sphere with a given radius:

[tex]V = \frac43 \pi r^3[/tex]   {where r is the radius}

[tex]V = \frac43 \times 3.14 \times 5^3[/tex]

V = 523.33 m³

Hence, The volume of the given sphere with radius 5 meters is given by 523.33 m³.

Learn more about Volume here:

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Answer:

6x

Step-by-step explanation:

each day she cuts 6 trees so the equation would be y=6x

Answer:

84 in.

Step-by-step explanation:

6*6=36/2=18

6*11=66

18+66=84

Answer:

1

Step-by-step explanation:

Answer:

6) x = 11;  y = 11[tex]\sqrt{2}[/tex]

7) x = 9;  y = 9

Step-by-step explanation:

Answer:

(6,7)

Step-by-step explanation:

The great thing about rectangles is that they are super simple.  For the top right point, it is going to share an x-value with the bottom right vertex and and y-value with the top left.  This maintains the parallel lines that define a rectangle.  So just find the x coordinate of the bottom right vertex (6) and the y coordinate of the top left (7) and put them together: (6,7)

Answer:

m<D = 26

Step-by-step explanation:

Exterior angles thm:

83 + 6x - 4 = 21x + 4

6x + 79 = 21x + 4

6x - 21x = 4 - 79

-15x = -75

x = 5

m<D:

6x - 4

6(5) - 4

30 - 4

26

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

Explanation:

We won't involve the g(x) function at all.

We're composing the f(x) function with itself, which means we're replacing every x with f(x) and then simplifying.

See the attached image below for the steps.

Answer:

2/12

Step-by-step explanation:

fraction 1 = 1/3

fraction 2 = 1/12

Half-way of both fraction = (1/3 + 1/12)/2 = 15/72 = 5/24

Answer:

q= 1/2 or 0.5 depending

Step-by-step explanation:

Step-by-step explanation:

Use distributive property to rewrite 6m(3n+1) in its equivalent form

Answer:

Sate why the measure of angle d is 120 degrees

Answer:

168

Step-by-step explanation:

number that prefer four-door cars = percentage of car owners that prefer  four-door cars x total number of people surveyed

56% x 300

0.56 x 300 = 168

Answer:

C

Step-by-step explanation:

C is the right one

Answer:

a) 677,040 b) 17,160

Step-by-step explanation:

a) this is a combinations problem as it deals with selection, rather than order. you can use a calculator to solve this:

there are 65 objects (colors) taken 4 at a time

(see photo)

there are 677,040 possible ways to arrange the boxes.

b) unlike question a, this is a permutation. the order matters.

since Ali can only visit the cities once, you must multiply by decreasing values starting from 13 down to 10 (4 "slots" for the 4 days)

13*12*11*10 = 17,160 possiblities

Answer:

267

Step-by-step explanation:

First, take 37 and multiply it by 7, which gives you 259. Next, add 8 to get your answer, 267.

Answer:

c=12,564

m=1,047

Step-by-step explanation:

Answer:

1st option

Step-by-step explanation:

The length of the arc is calculated as

arc = circumference of circle × fraction of circle

      = 2πr × [tex]\frac{210}{360}[/tex]

      = 2π × 13 × [tex]\frac{21}{36}[/tex]

      = 26π × [tex]\frac{7}{12}[/tex]

      = [tex]\frac{26\pi (7)}{12}[/tex]

      = [tex]\frac{182\pi }{12}[/tex]

      = [tex]\frac{91\pi }{6}[/tex]

Answer:

from what I'm seeing the answer is C

Answer:

Half of 3 is 1.5(new radius)

1.5^2 = 2.25

2.25 x 3.14 = 7.065

7.065 x 2 = 14.13(area of two circles)

2 x 3.14 x 1.5 = 9.42

9.42(circumference)  x 4(height) = 37.68(area of lateral)

Add the given areas:

37.68 + 14.13 = 51.81 cm2 is your answer.

Answer:

Step-by-step explanation:

surface area=(a+b+c)*h

=(5+5+6)*5

=16*5

=80 cm^2

Answer: 360

Step-by-step explanation:

Answer:

120 cubic feet

Answer:

Spurious relationship

Step-by-step explanation:

A spurious relationship is a relationship between a dependent and independent variable that seems to be causal (have a cause and effect relationship) but is actually not, which is made evident by a third factor or variable which was not initially apparent at the point of comparison or examination of the dependent or independent variables

Answer:

Make me Brainliest

Step-by-step explanation:

=5*65-7

=325-7

=318