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The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:

At least how many schools have participated for 1 year or less? (5 points)



6 schools


8 schools


12 schools


14 schools

Answer: 8

Step-by-step explanation:

To find the diagonal, we need to use two formulas:

Area of a square: [tex]A = s^{2}[/tex] (Area = side * side)

Pythagorean Theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]  

Since  every side of a square is the same:

[tex]a^2 = b^2\\a = b = \sqrt{32} \\a^{2} = 32\\b^2 = 32[/tex]

Our equation:

[tex]32 + 32 = c^2\\64 = c^2\\8 = c[/tex]

The picture below visually explains the problem

Hope this helps!

Answer:

Approx. 2140.16 cubic centimeters

Step-by-step explanation:

[tex]Volume=\frac{4}{3}\pi r^{3} \\V=\frac{4}{3}(3.14)(8)^{3} \\V=4.18(8)^{3} \\V=4.18(512) \\V=2140.16[/tex]

Answer:

(x-4)(x-4)

Step-by-step explanation:

Because the factors of 16 that add up to -8 can be -4 and -4.
Let's plug it in...
16 - 32 + 16 = 0

It works!!!

ANswer is (x-4)(x-4)

Answer: (x-1)(x+4)

the answer

Answer:

-2 =w

Step-by-step explanation:

9(w – 4) – 7w = 5(3w – 2)

The first step is to distribute

9w -36 - 7w = 15w -10

Combine like terms

2w -36 = 15w -10

Subtract 2w from each side

2w -36 -2w = 15w-10-2w

-36 = 13w -10

Add 10 to each side

-36+10 =13w-10+1-

-26 = 13w

Divide by 13

-26/13 =13w/13

-2 =w

Answer:

Step-by-step explanation:

Comment

There was a flat fee of 10 dollars

Each 1/4 hour brought in 3,75

The total charge was 55 dollars.

Equation

Charge = 10 + 4*3.75*x                     as an hourly rate,

Solution

55 = 10 + 4*3.75x                                Combine

55 = 10 + 15x                                       Subtract 10 from both sides

55-10= 10-10 + 15x

45 = 15x                                               Divide by 15

45/15 = 15x/15

x = 3 hours

Answer 3 hours  

Answer: 49π or 153.86

Explanation: To find the R, do 14 divide by 2 because since you're not multiplying pi with it. The circumference formula is 2πr
14 / 2 = 7
7 = Radius

Area of a circle is : πr^2
π(7^2)
π49
----------
π49
153.86

Answer:

x = 10

Step-by-step explanation:

If S is between R and T, then RS + ST will be equal to RT.

See image.

Use this idea to write an equation.

2x + 3 + 4x = 63

Combine like terms, Subtract 3, Divide by 6, to solve for x. See image.

Answer:

Step-by-step explanation:

Given

log_3x = 3/2   can be rewritten as

3^1.5 = x

You calculator will give you the simplest answer to this. Look around for a key that looks like ^ or y^x or x^y.

Then you put the base (3) into your calculator and press your y^x key and put in 1.5

Answer:

x = 5.1962

Answer:

44

Step-by-step explanation:

16.5 / 3/8 = 44

she will need 44 beads to complete that necklace

Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.

In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.

Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)

Angle F + angle G = 180

4x - 2 + 34 = 180

4x + 32 = 180

4x = 180 - 32

4x = 148

x = 148/4

x = 37

Value of x is: E. 37.

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The rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet

The function is given as:

d = √216 +h²

At a distance of 100 feet, it means that:

d = 100

So, we have:

√216 +h² = 100

Take the square of both sides

216 +h² = 10000

Subtract 216 from both sides

h²= 9784

Take the square root of both sides

h = 98.9

Hence, the rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet

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Answer:

C

Step-by-step explanation:

The solution to the equation is y = 5.5 + x , for any real number x greater than or equal to zero and y any real number greater than or equal to 5.5.

Analysis:

since number of items cannot be negative x and y are real number numbers since y or x can be a decimal so we do not use integers alone.

so  y = 5.5 + x , for any real number x greater than or equal to zero and y any real number greater than or equal to 5.5.

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Answer: C

Step-by-step explanation:

[tex]y+9-x =[/tex]

[tex]x=1 \\ y=3[/tex]

[tex]3 +9 -1=11[/tex]

Answer:

y+9-x = 3+9-1 which would end up equaling: 11

9-1=8+3=11

Answer:

508?

Step-by-step explanation:

what is this factor? simplify?...etc

The correct statement about the center of both box plots is: the median for Town A, 30° is greater median for Town B, 25°

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. The two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the upper (third) quartile.

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The amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively

The equation is given as:

y =1.5x + 5

For a 17-pound goat, we have:

x = 17

This gives

y =1.5 * 17 + 5

y = 30.5

For a 55-pound goat, we have:

x = 55

This gives

y = 1.5 * 55 + 5

y = 87.5

Hence, the amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively

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Using the normal distribution, it is found that 0.13% of American women CAN NOT use the bicycles designed by this company.

The z-score of a measure X of a normally distributed variable with mean  and standard deviation  is given by:

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 65\ \ \sigma= 3.5[/tex]

The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

[tex]z = \dfrac{54.5-65}{3.5}[/tex]

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% of American women CAN NOT use the bicycles designed by this company.

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Answer:

slope: -3

y-intercept: -2

equation: -3x-2

y intercept is the value of y at x=0

slope is how many units the graph moves per x

equation is (slope)x+(y-intercept)

Answer:

(14, -2)

Step-by-step explanation:

The coordinates of the midpoint is equal to the mean of the coordinates of the endpoints.

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

Solving :

⇒ 5 = -4 + x / 2

⇒ x - 4 = 10

⇒ x = 14

⇒ 2 = 6 + y / 2

⇒ y + 6 = 4

⇒ y = -2

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

Coordinates of Point Y :

⇒ Y = (x, y)

⇒ Y = (14, -2)

Answer:

Y (14, - 2 )

Step-by-step explanation:

using the midpoint formula for (x₁, y₁ ) and (x₂, y₂ ) , then

midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1+y_{2} } }{2}[/tex] )

equating the x- coordinates and the y- coordinates

let coordinates of Y = (x, y )

[tex]\frac{x-4}{2}[/tex] = 5 ( multiply both sides by 2 )

x - 4 = 10 ( add 4 to both sides )

x = 14

and

[tex]\frac{y+6}{2}[/tex] = 2 ( multiply both sides by 2 )

y + 6 = 4 ( subtract 6 from both sides )

y = - 2

coordinates of Y = (14, - 2 )

The size of the scalene triangle would be larger or smaller

The total amount of money spent by Keesha to buy grapes and bananas is equal to $6.38.

Based on the value of the bills and coins which represent the cost of each item, we would determine the total amount of money spent by Keesha to buy grapes and bananas.

For the grapes, we have:

Cost of grapes = 5 + (1 × 0.25) + (2 × 0.1) + 0.05

Cost of grapes = 5 + 0.25 + 0.2 + 0.05

Cost of grapes = $5.5.

For the bananas, we have:

Cost of bananas = (3 × 0.25) + 0.1 + (3 × 0.01)

Cost of bananas = 0.75 + 0.1 + 0.03

Cost of bananas = $0.88.

Total cost = 5.5 + 0.88

Total cost = $6.38.

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Answer:

   [tex]7\frac{1}{6}[/tex]

Step-by-step explanation:

→ Convert all fractions to improper fractions

[tex]\frac{27}{6} +\frac{8}{3}[/tex]

→ Make both of the numerators the same

[tex]\frac{27}{6} +\frac{16}{6}[/tex]

→ Add

[tex]\frac{43}{6}[/tex]

→ Convert to mixed fraction

   [tex]7\frac{1}{6}[/tex]

The measures of the x is 6.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Given : one angle= 6x-6 and another angle = 54

Using angle sum property, we have

6x-6 + 54 + 90 = 180

6x=180-144

6c= 36

x=36/6

x=6

Thus, value of x is 6.

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Answer:

a/b = c/d

a*d = b*c

Ex:

a/2 = 2/4

4a = 4

a = 1

1/2 = 2/4

The correct answer is option A. Which is the solution of the given equation will be (15,15).

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

Given equations are solved as:-

a - 1.2b = -3 or a = -3 + 1.2b

0.2a + 0.6b = 12

Put the value of a from equation 1 to the equation second.

0.2 ( -3 + 1.2 b)  + 0.6b = 12

-0.6 + 0.24b + 0.6b = 12

0.84b = 12  + 0.6

0.84 b = 12.06

b  = 15

Put the value of b in the first equation to find the value of a.

a = 1.2b - 3

a = (1.2 x 15) - 3

a = 15

Therefore the correct answer is option A. Which is the solution of the given equation will be (15,15).

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