The dot plots show the heights of boys and girls at a summer camp.

Heights of Boys and Girls at Camp
2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60.

Which is a true statement for most of the data in each plot?
Most of the data in each plot are greater than 48.
Most of the data in each plot are less than 48.
Most of the data in each plot are around 52.
Most of the data in each plot are around 54.

Answer:

226.19 [tex]cm^{3}[/tex]

Step-by-step explanation:

Vol. of cone = Bh/3   where B is the area of the base(circle) and h is the height of the cone.

r = 3   h = 3

V = [tex]\frac{\pi *3^{2}*3 }{3}[/tex] = 9π

Vol. of the cylinder = Bh   where B is the base(circle) and h is the height of the cylinder.

r = 3   h = 10 - 3 = 7

V = [tex]\pi *3^{2} * 7[/tex] = 63π

Total volume = 9π + 63π = 72π = 72(3.1416....) = 226.19

Volume is a three-dimensional scalar quantity. The volume of the composite figure will be 226.194cm³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the composite solid is the sum of the slanted cylinder and the cone. Therefore, the volume will be,

Volume = Volume of cone + Volume of slant cylinder

             = [(1/3)πr²h] + [πr²H]

             = [(1/3)×π×(3)²×3] + [π×(3)²×7]

             = 28.274 cm³ + 197.920 cm³

             = 226.194 cm³

Hence, the volume of the composite figure will be 226.194cm³.

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Answer:

(a) 8P3 =336;

=>(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(15)^2+(8)^2

=>(h)^2=289

=>h=√289

=>h=17 yd

Hope it helps you

225+64=289 is your answer

Answer:

13 / 25 were boys

14 / 25 were girls

Step-by-step explanation:

Of the girls 10 said no and 4 said yes

10 + 4 = 14 so she asked a total of 14 girls

Of the boys 8 said yes and 5 said no

8 + 5 = 13 so she asked a total of 13 boys

she asked 14 girls and 13 boys

14 + 13 = 25 so she asked a total of 25 people

Out of the 25 people she asked 13 of them were boys

So 13 out of 25 people we boys

or 13 / 25

which means 14 out of 25 were girls

or 14 / 25

Answer:

7+√5/4

Step-by-step explanation:

if that is = a, find the value of a + 1 over a

​Given that a = 3 - √5

a+1/1 = (3-√5)+1/3 - √5

4-√5/3 - √5

Rationalize

4-√5/3 - √5 * 3+√5/3 + √5

= 12 +4√5-3√5-√25/9-5

= 12+√5-5/4

= 7+√5/4

Hence the requred answer is  7+√5/4

Answer:

The answer is B It is located on the Quadrant ll

Step-by-step explanation:

have a good day :)

Answer: first one: false second one: true

Step-by-step explanation:

[tex]\sf\purple{The\:radius\:of\:the\:cylinder\:is\:approximately \:28 \:ft.}[/tex]

[tex]\sf\blue{Height\:of\:the\:cylinder\:(h) }[/tex] = 10 ft.

[tex]\sf\pink{Volume\:of\:the\:cylinder}[/tex] = 25,456 ft³.

[tex]\sf\purple{The\:radius\:of\:the\:cylinder.}[/tex]

We know that,

[tex]\sf\red{Volume\:of\:a\:cylinder}[/tex] =[tex]\pi {r}^{2} h \\ ✒ \: 25456 \: {ft}^{3} = \pi {r}^{2} \times 10 \: ft \\ \: ✒ \: {r}^{2} = \frac{25456 \times 7 \: {ft}^{3} }{22 \times 10 \: ft} \\ ✒ \: {r}^{2} \: = \frac{178192 \: {ft}^{2} }{220} \\ \: ✒ \: {r}^{2} = 809.9636 \: {ft}^{2} \\ \: ✒\: r \: = \sqrt{809.9636 \: {ft}^{2} } \\ ✒ \: r \: = 28.45 \: ft[/tex]

Hence, the radius of the cylinder is 28.45 feet.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

Step-by-step explanation:

the area of the rectangle is a difference of two squares

so it can be expressed

(x^2-3y)(x^2+3y)

Answer:

(x^2-3y)(x^2+3y) if you multiply them all together you get the final answer of x^4-9y^2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

34-10 for admission= 24. if each ride cost 1.50, you can take 1.50x16 and get 24.00. He can go on 16 rides.

Answer:

6 ÷ 2(1+2)

From

PEMDAS

We deal with Parenthesis first, Then Multiplication before division.

6÷ 2(3)

6÷6

6/6 = 1.

Answer:

1

Step-by-step explanation:

= 6 ÷ 2(3)

= 6 ÷ 2 of 3

= 6 ÷ 6 (∵ Using BODMAS rule)

= 1

Answer:

B, 600

I've attached a graph to help ya!

Hope this helps!

Answer:

5hours - 3hours = 2hours

Answer:

3, 5, 6

Step-by-step explanation:

Angles that will be congruent to the given angle, 94° would be any angle that is corresponding to 94°, any angle that is vertical to 94°, any angle that is the alternate interior angle to 94°.

Thus.

Angle 3 = 94° (vertical angles)

Angle 5 = 94° (corresponding angles)

Angle 6 = 94° (alternate interior angles)

Answer: 12 boys attend Millwood School.

Step-by-step explanation:

Yeah. It just makes sense. I am bad at explaining. Sorry!

The ratio shows how many times one value is contained in another value.

The ratio of boys to girls at the Milwood School is 4 to 5.

The number of girls that attended the Milwood school is 15.

The number of boys that attended the Milwood school is 12.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of boys to girls at the Milwood School is 4 to 5.

Total number of children = 27

Let the number of boys = 4x

Let the number of girls = 5x

Now,

4x + 5x = 27

9x = 27

x = 3

Now,

The number of boys = 4x = 4 x 3 = 12

The number of girls = 5x = 5 x 3 = 15

Thus,

The number of boys that attended the Milwood school is 12.

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Given:

The quadratic equation is:

[tex]x^2+x-30=0[/tex]

To find:

The solutions of the given equation.

Solution:

We have,

[tex]x^2+x-30=0[/tex]

Splitting the middle term, we get

[tex]x^2+6x-5x-30=0[/tex]

[tex]x(x+6)-5(x+6)=0[/tex]

[tex](x+6)(x-5)=0[/tex]

Using zero product property, we get

[tex]x+6=0[/tex] and [tex]x-5=0[/tex]

[tex]x=-6[/tex] and [tex]x=5[/tex]

Therefore, the solutions of the given quadratic equation are -6 and 5.

Answer:

Step-by-step explanation:

circle A is

x²+y²+6x-4y-12=0

x²+6x +y²-4y =12

think (a+b)² = a²+2ab+b² we have a=x, b= 3

and (a-b)² = a²-2ab+b² so we have a=y, b=2

x²+6x +9 +y²-4y+4 = 12-9-4

(x+3)² +(y-2)²= -1

compare to the general equation of a circle (x-h)²+(y-k)² =r²

the center is at (-3,2) and the radius is √-1 =i

Circle B has center (0, -4) and radius 3 so the equation is

(x-0)²+(y-(-4))² =3²

x² +(y+4)² = 9

point (√8, -3) is on the circle if it verifies the equation

√8² +(-3+4)² = 9

8+1 =9 true so the point is on the circle

Circle A and circle B are not similar because they do not have the same center and radius

Answer:

Hello! answer: volume = 216

Step-by-step explanation:

Volume for rectangular prisms are found by doing length × width × height so... 6 × 4 × 9 = 216 therefore the volume is 216 hope that helps!

Answer:

29 Mbps

Step-by-step explanation:

the scan rate of Dave's antivirus =

203 Mb / 7 s = 29 Mb/s or 29Mbps

Answer:

x^2-12x+37

Step-by-step explanation:

Let's start by putting this into vertex form which will be (x-6)^2+1

Now lets solve our equation to get parabola standard form

x^2-12x+37

Answer:

$48 deposited

Step-by-step explanation:

84 times 1/3 = 28

80 times 1/4 = 20

28 + 20 = 48

25 = a1(1- (0.6)⁴)/(1-0.6)

25 = a1 (1- 0.13)/(0.4)

10 = a1(0.87)

a1 = 11.49

S8 = 11.49(1- (0.6)^8)/(1-0.6)

= 11.49(1-0.017)(1-0.6)

= 11.49(0.983)/0.4

= 28.24

The sum of the first eight terms of the given geometric series is; 28.24

We are told that the sum of the first four terms of the geometric series is 25. Thus, formula for sum of n terms of a geometric series is;

Sₙ = a(1 - rⁿ)/(1 - r)

where;

a is first term

r is common ratio

Thus;

25 = a(1 - (0.6)⁴)/(1 - 0.6)

25 = a(1 - 0.13)/(0.4)

10 = 0.87a

a = 11.49

Thus, sum of the first 8 terms of the series is;

S₈ = 11.49(1 - 0.6⁸)/(1 - 0.6)

S₈ = 11.49(1 - 0.017)(1 - 0.6)

S₈ = 28.24

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Answer:

Solution given:

100( x + 5 ) = 200 ( 6 - x)

distributing

100x+500=1200-200x

100x+200x=1200-500

300x=700

x=[tex] \frac{700}{300} [/tex]

x=[tex] \frac{7}{3} [/tex]

:.x=[tex] \frac{7}{3} [/tex] or[tex] 2\frac{1}{3} [/tex]

Answer:

The answer is in the picture.

Answer:

[tex]241\frac{5}{16}[/tex]

Step-by-step explanation:

Answer:10

Step-by-step explanation: If you see that the vocabulary questions is 20 percent of the total number of questions which is 50, then you multiply 20/100 with 50 which is 1/5 of 50 which is 10 questions. Hope this helps

Answer:

[tex]x = 14[/tex]

Step-by-step explanation:

[tex](5x - 3) + 63 + (3x + 8) = 180 \\ 8x + 68 = 180 \\ 8x = 112 \\ x = 112 \div 8 \\ x = 14 \\ so \\ (5 \times (14) - 3) = 67 \\ (3 \times (14) + 8) = 50[/tex]