he dot plot shows how many swimmers are in each line at a waterpark: Is the median or the mean a better measure of center for these data and why? Median, because the data are skewed and there is an outlier Median, because the data are symmetric and there are no outliers Mean, because the data are skewed and there is an outlier Mean, because the data are symmetric and there are no outliers

Answer: =11/4

Step-by-step explanation:

Answer:

\(y = 2 \frac{3}{4} \\ \)

Step-by-step explanation:

\(5(y - 1) = 3(2y - 5) - (1 - 3y) \\ 5y - 5 = 6y - 15 - 1 + 3y \\ 5y - 5 = 9y - 16 \\ 16 - 5 = 9y - 5y \\ 11 = 4y \\ \frac{11}{4} = y \\ 2 \frac{3}{4} = y \\ \)

Answer:25.45

Step-by-step explanation:

52936/1 year x 1 year/52 weeks x 1 week/40hours

The value of x is 1 and the perimeter of the rectangle and the perimeter of the equilateral triangle each equals 6 inches.

What is Perimeter?

Given that a rectangle and an equilateral triangle have the same perimeter.

The perimeter of the rectangle is 2x+2(3x-1) inches.  -------(1)

the perimeter of the equilateral triangle is 3(x+1) inches.  -------(2)

Since the perimeter of the given rectangle and equilateral triangle are equal, we have

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

Simplifying, we get

\(2x+6x-2 = 3x+3\\\implies 8x-3x=3+2\)

Solving, we have

\(5x=5\\\implies x=1\)

Hence, the value of x is 1.

So, the perimeter of the rectangle becomes

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

\(\implies 2x+2(3x-1) =6\)

Also, the perimeter of the equilateral triangle becomes

\(3(x+1)=3(1+1)\\\implies 3(x+1)=6\)

Therefore, the perimeter of the rectangle and the perimeter of the equilateral triangle each equals 6 inches.

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The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer:

Slope: -x

Slopes in paralel lines are the same

Step-by-step explanation:

Answer:

Hope this helped. A brainliest would be very much appreciated. (I need 5 brainliest so I can level up) :)

Answer:

c

Step-by-step explanation:

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

                    120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

Answer:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. When the number of kilograms of paper is doubled, the points will be doubled

2. 300÷ 5 = 60

They have to collect 60 Kg of papers to earn 300 points.

3) P = 5*n

P = 5n

4) We are not only reducing the waste, the collected paper can be reused  or can be sent to recycling centers.

Answer:

340=10*340 calculated

Answer:

340

Step-by-step explanation:

i know math alot

Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

The number of ways to put eight different books in five boxes can be calculated by using probability formula which is 6660 ways.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

No box is allowed to be empty.

So, we can put one book in each box in  mays.

Now remaining 3 books we can put in by  ways

Total number of ways will be

Now calculating the value,

(8!)/(8-5)!  - (5!)/(5-3)!

(8!)/(3!) - (5!)/(2!)

(8*7*6*5*4) - (5*4*3)

6720 - 60

6660

There can be 6660 ways to put eight different books in five boxes.

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Answer: 16

Step-by-step explanation:

Answer:

\(distance = \sqrt{ {(8 - ( - 8))}^{2} + {( - 6 - ( - 6))}^{2} } \\ = \sqrt{256} \\ = 16 \: units\)

Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

Answer:

distance= speed *time

Step-by-step explanation:

use the above formula ☝️

The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

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Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

Answer:

The circumference of a circle is C = 2πr^2 (2nd power) Radius (r) is the distance from the center of the circle to the outside of it. To find radius divide the diameter (d) by 2. The diameter (d) of a circle is the radius (r) multiplied by 2. To find the diameter (d) you need to do C ÷ π.

For example):

Finding diameter - 76/3.14 = 24.19 (d)

Finding radius - 24.19/2 = 12.095 (r)

Answer:

See explanation below

Step-by-step explanation:

We have t as a real number.

The reference number associated with t is the shortest distance along the unit circle between the terminal point determined by t and the x-axis.

c. look at the attachment

π = 90° => 2π = 180°

π = 3.14 => 2π = 6.28

so t = 6 is less than 2π

so t' = 2π - t = 2π - 6

d. same principle but direction will go clockwise rather than counterclockwise in (+) number

π = 90° => 2π = 180°

π = 3.14 => 2π = 6.28

so we ignore the (-) since it is the direction

t = 7 which is more than 2π

so t' = -7 - 2π

you have -7 because the difference will be negative which points to direction of clockwise

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There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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The loss on selling 50 shares of stock would be 87.50.

To calculate the loss on selling 50 shares of stock originally bought at

\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.

First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.

Next, we calculate the difference between the purchase price and the selling price:

\(13.75 - 12 = 1.75.\)

Finally, we multiply the difference by the number of shares sold:

\(1.75 \times50 = 87.50.\)

Therefore, the loss on selling 50 shares of stock would be 87.50.

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The score of the student is  x = 779.42

Step-by-step explanation:

Generally we can mathematically represent the z-score as

         \(z = \frac{x - Mean}{ stDev}\)

Here x is the score of the student

substituting 1045.7 for the Mean, 221.9 for the stDev and -1.2 for z we have  

          \(-1.2 = \frac{x - 1045.7 }{ 221.9}\)

=>       \(-266.28 = x -1045.7\)

=>     x  =  -266.28 + 1045.7

=>     x = 779.42

The student scored 779.42 for him to have a z score of - 1.2;

z score is used to determine by how many standard deviations the raw score is above or below the mean.

The z score is given by:

\(z=\frac{x-\mu}{\sigma/ } \\\\where\ x\ is\ raw\ score,\mu\ is\ mean, \sigma\ is\ standard\ deviation\)

Given that μ = 1045.7, σ = 221.9 Hence for z = -1.2:

\(-1.2=\frac{x-1045.7}{221.9} \\\\x=779.42\)

The student scored 779.42 for him to have a z score of - 1.2;

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Answer:

angle1=70

angle2=65

angle4=115

angle7=45

angel6=45

angle5=45

Step-by-step explanation:

110+angle1 = 180

angle1 =180-70

angle1 = 70

115+angle2=180

angle2=180-115

angle2=65

angle4=115 because lines are parallel

angle1+angle2+angle7=180 because triangle

70+65+angle7=180

135+angle7=180

angle7=180-135

angle7=45

angel6=45

angle5=45

The Coordinates of the graphed point are (−3, 2.5).

The coordinates of the graphed point, based on the given description, are (−3, 2.5).

The x-coordinate represents the horizontal position of the point, and it is described as being 3 units to the left of the y-axis. Since the y-axis is the vertical line passing through x = 0, moving 3 units to the left means the x-coordinate is −3.

The y-coordinate represents the vertical position of the point, and it is described as being 2.5 units up from the x-axis. Since the x-axis is the horizontal line passing through y = 0, moving 2.5 units up means the y-coordinate is 2.5.

Therefore, the coordinates of the graphed point are (−3, 2.5).

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Given the function:

The zeros of the function can be said to be the x-intercept of the given function.

To find the zeros, substitute 0 for f(x) and evaluate.

We have:

We have the individual factors:

Equate the individual factors to zero:

Solve each factor for x:

Therefore, the zeros of the function are:

x = 0, 3

In point form, the zeros are:

(0, 0) and (3, 0)

ANSWER:

x = 0, 3

Answer: 72

Step-by-step explanation: We did this question during class and this was the answer. Hope this helps!

The number of block that can be placed in box can be calculated by finding the area of the ample supply of identical blocks.

The number of block that can be placed in block is 84.

Given:

The box is 6 units tall, 7 units wide, and 8 units deep.

Calculate the area of the box.

\(\begin{aligned}{\rm Area\: of\:the\: box}=6\times7\times 8\\=336\:\rm units\\\end\)

The four block has \(1\times1\times1\) unit-cubes.

Calculate the area of 4 block.

\(\begin{aligned}{\rm Area\:of\:four\:block}&=4\times1\times1\times1\\&=4\\\end\)

Now, calculate the number of block that can be placed,

\(\begin{aligend}{\rm Block\: placed\: in \:box}&=\dfrac {\rm Area\: of\: box}{\rm Area \:of\: Block}\\&=\dfrac{336}{4}\\&=84\\\end{aligned}\)

Thus, the number of block that can be placed in block is 84.

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To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Explanation:

First we have to find 7% of her sellings:

And then add it to her monthly earnings:

Answer:

D. $2515