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Question 3(Multiple Choice Worth 5 points)

(08.03 MC)


The two dot plots below compare the forearm lengths of two groups of schoolchildren:


Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length followed by inches in parentheses. There are markings from 11 to 14 on each line at intervals of one. For the top line there are 3 dots above the second mark, 4 dots above the third mark, and 3 dots above the fourth mark. For the bottom line there are 3 dots above the first mark, 5 dots above the second mark, and 2 dots above the third mark.


Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?


Group B, because three children in the group have the least forearm length of 11 inches

Group A, because three children in the group have the least forearm length of 11 inches

Group A, because seven children have a forearm length longer than 12 inches

Group B, because two children have a forearm length longer than 12 inches

To find the perimeter of a shape you add all the side lengths together.

Perimeter of A is 20cm because 7+7+3+3=20

Perimeter of B is 27cm because 9+8+10=27

Perimeter of C is 17cm because 6+6+5=17

Perimeter of D is 34cm because 10+10+4+4+3+3=34

On shape E there is one side length that we do not know. To find that do 8-3=5 because 5+3 would be the opposite side of the 8. Now do 5+8+8+4+12+3=40 cm which is the perimeter of shape E.

I hope this helps you have a good day

Answer;

10

Step-by-step explanation:

from the question we observed that the shape is a right angled triangle.

and according to Pythagoras theorem, In a right angled triangle the square of the hypothenus is equal to the square of the sum of the other two side

hypothenus = 10

10^2= 8^ + X^2

100= 64 +X^2

X^2 = 100-64

X^2 = 36

X = √36

X= 6

An inverse matrix is drawn from the concept of reciprocity in which the product of a number and its reciprocal will sum up to one (1). Note that an identity matrix is equal to the product of a square matrix and its inverse.

In mathematics you have the following types of matrices:

It is to be noted that the information required to solve the equation is incomplete hence the general answer.

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Answer:

193 m²

Step-by-step explanation:

Let us separate the figure into three parts:

One right angled triangle, square and rectangle.

right angle triangle having height(h) = (10+5+3)m = 18m

base of right angled triangle(b) = 25-(8+4)m = 13m

length of square(l) = 8m

length of rectangle (a) = 4m

breadth of rectangle (w) = 3m

[tex]total \: area \: of figure = area \: of \: triangle + area \: of \: square + area \: of \: rectangle[/tex]

[tex] = \: ( \frac{1}{2} \times b \: \times h ) \: + ({l}^{2} )\: + (a \: \times w)[/tex]

[tex] = (\frac{1}{2} \times 13 \times 18) + {8}^{2} + (4 \times 3)[/tex]

[tex] = 193 \: {m}^{2} [/tex]

Answer:

48 lots

Step-by-step explanation:

Answer:

337

Step-by-step explanation:

I remember this from UKMT maths challenge.

Let the number of kangaroos in each of the seven parks be , , , , , and with the

corresponding number of koalas being , , , , , and . The question tells us that the

number of kangaroos in any park is equal to the sum of the numbers of koalas in the other six

parks. Therefore we have

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + .

Adding these equations, we obtain

+ + + + + + = 6( + + + + + + ).

The total number of kangaroos in the seven parks is 2022. Hence

+ + + + + + = 2022.

Therefore

2022 = 6( + + + + + + )

and hence the total number of koalas in the seven parks is

+ + + + + + = 2022 ÷ 6 = 337.

Answer:

Answer = 39.25 or 39 if rounded to the nearest whole number

Step-by-step explanation:

The formula for finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the diameter is 5. Since we know the diameter we know that the radius is 2.5 since it is one half of the diameter. Now that he know the radius and height we can plug the values into the equation to get V=39.25

Hope that helps! :)

The statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.

The second solid line has a positive slope and goes through (0, - 4) and (3, -2). Everything above the line is shaded.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have two inequality:

2x – 3y <12

y < –3

If we draw these two inequalities on the graph, we will see:

On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded.

The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.

Thus, the statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.

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Answer:

390 miles

Step-by-step explanation:

90/3 = 30

30x13 = 390

Answer:

9

Step-by-step explanation:

x - 8 + 9 + 12 - 4 = 18

x = 9

Answer:

35 ways

Step-by-step explanation:

[tex]_7C_4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!*3!}=\frac{7*6*5}{3*2*1}=\frac{210}{6}=35[/tex]

Therefore, Dwight can arrange his schedule in 35 ways if he must pick 4 out of 7 courses to choose from.

Answer:

(6-2)÷3=1

this is the answer

follow me :)))

The equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

To find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y = 3x + 2, we will first find the slope(m).

To find the slope m of the perpendicular equation;

y = 3x + 2 --------------(1)

comparing the equation above with the standard equation of a circle

y=mx + c

m=3

The slope of the perpendicular equation;

 = -1

3 = -1

Divide both-side of the equation by 3

= -1/3

so, the slope of our perpendicular equation is -1/3

Then, we go ahead to find our intercept

To find the intercept, we will plug in the points and the new slope into the formula y =mx + c

5 = -(3) + c

5 = -1 +c

Add one to both-side of the equation

5+1 = -1 + c + 1

6 =c

c=6

our intercept c is equal to 6

so we can now proceed to form our equation.

y = - x  +  6

Multiply through by 3

-3y = -x + 18

We can rearrange the equation, hence;

x -3y -18=0

Therefore the equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0

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We know:

[tex]{{ \diamond\diamond \quad{ \boxed{ \pink{ \sf{Volume \: of \: Sphere ={ \large{ \frac{4}{3} \pi {r}^{3} }}}}}}} \quad \diamond \diamond}[/tex]

where,

[tex] \: [/tex]

[tex]{\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large {\frac{4}{3} \times \frac{22}{7} \times {6}^{3} }}}}}[/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 6 \times 6 \times 6 }}}}}[/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 216 }}}}} [/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{19008}{21} }}}}} [/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ { \boxed{ \red{ \sf{905.14 {yards}^{3} }}}}}}}}} [/tex]

Thus, The volume of Sphere is 905.14yards³. (Approx.)

Answer:

41,257

Step-by-step explanation:

100,000

-

58,743

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

41,257

The amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The annual fundraising goal of a college is $100,000.

Let x be the amount that is needed to reach the goal.

The linear equation in one variable can be framed as follows:

x + 58,743 = 100,000

x = 100,000 - 58,743

x = $41257

Thus, the amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.

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Answer:

$102

Step-by-step explanation:

Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat?

1. Convert the discount percentage to a decimal:

15/100 = 0.15

2. Multiply the original price by the decimal:

120*0.15 = $18

This is the discount they got.

3. Now, subtract the discounted value from the original price:

120 - 18 = $102

This means that they paid $102 for the coat.

Hope this helps!

Answer:

$102

Step-by-step explanation:

15% of 120

= 15/100×120

0.15×120=$18

therefore, 15% of 120 equal 18

discount= $18

Amount she paid= 120-18= $102

Answer:

b/4

Step-by-step explanation:

After rewriting the quotient as a fraction,

[tex]\dfrac{2ab}{8a}[/tex]

We can look for common factors to reduce it. 8a and 2a both have the common factor 2a, and since 2a = 1 · 2a and 8a = 4 · 2a, we can reduce our fraction down to

[tex]\dfrac{1\cdot2a\cdot b}{4\cdot2a}=\dfrac{1\cdot b}{4}=b/4[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

A prism has a uniform cross-section equal in area to its base area. The volume of a prism is the product of this cross-section area and the length between the parallel bases.

__

A pyramid or cone has a cross section whose linear dimension is directly proportional to the distance from the peak. The volume is 1/3 of the product of the base area and the height.

  V = (1/3)Bh . . . . . formula for volume of a pyramid

__

Since the pyramid volume is 1/3 that of a prism with the same overall dimensions, the prism has 3 times the volume of the pyramid.

Answer:

D. (2y - 7) units by (2y + 7) units

Step-by-step explanation:

Answer:

BA=15

CA=15/2=7.5

[tex] cb \:= \frac{15 \sqrt{3}} {2} = 13[/tex]

[tex](25*10)^6[/tex]

Sure hope this helps you

And please mark me brianiest if this is correct

Answer:

hypotenuse

Step-by-step explanation:

A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°)

Answer: 30

Step-by-step explanation:

Bc all the numbers are near 30

CAN I PLEASE HAVE BRAINLIEST ✨

#1

As this is a scatter plot so we have to draw a suitable line then have to find the equation of line inorder to fulfill our requirements.

#2

Put temperature as 21(x)

#3

0 is the y intercept or the initial amount of sales

It's denoting to the fact that there were initially 0 boxes

Answer:4.2

Step-by-step explanation:

14 times 70% subtracted from 4.2

The original price or cost price of a board game is 20.

The cost price is the price at which "goods are bought by merchant or retailer".

According to the question,

Joe paid 14.00 for a board game which is 70% of the original price or cost price.

In order to find cost price or original price. Let 'x' be the original price or cost price

70%  =  14

100% = x

x = [tex]\frac{1400}{70}[/tex]           [cross multiplication]

=20

Hence, the original price or cost price of a board game is 20.

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