Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question.
Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team.
What do the results tell us?
55 64 45 77 88 51 41 54 35 67 18 D
a. Find the mean...
The mean is
(Type an integer or a decimal rounded to one decimal place as needed.)

y = feet in the air

x = seconds it takes

well, what's "y" when x = 3?

[tex]y=-2.7(3)^2 + 30(3) + 6.5\implies y=-2.7(9)+96.5\implies \boxed{y=72.2~feet}[/tex]

now, what's "x" when y = 75?

[tex]75=-2.7x^2+30x+6.5\implies 0=-2.7x^2+30x-68.5 \\\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-2.7}x^2\stackrel{\stackrel{b}{\downarrow }}{+30}x\stackrel{\stackrel{c}{\downarrow }}{-68.5} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}[/tex]

[tex]x=\cfrac{-30\pm\sqrt{(30)^2 - 4(-2.7)(-68.5)}}{2(-2.7)}\implies x=\cfrac{-30\pm\sqrt{900-739.8}}{-5.4} \\\\\\ x=\cfrac{30\mp\sqrt{160.2}}{5.4}\implies x\approx \begin{cases} 3.2&\textit{on the way up}\\\\ 7.9&\textit{on the way down} \end{cases}[/tex]

Answer:

A=14

B=pi 7^2

Step-by-step explanation:

All you need to do is put pi symbol on calculator and x by 7 squared to get answer

Answer:

No it's not a function

Step-by-step explanation:

You can use the vertical line test to determine whether it's a function or not. If the vertical line touches the graph at more than one point, the graph is not a function therefore the answer is no.

If you have ​$50 in your bank account and each week you plan to deposit ​$8 from your allowance and ​$20 from your paycheck. The number of  weeks from now that you will have ​$210 in your bank​ account is: 5.71w.

The given equation is:

b=50+​(20+8​)w

Where:

b  is the amount in your account after w weeks.

w = Number of week

Hence,

b = 50+​(20+8​)w

b = 50+28w

b-50 = 28w

(b-$50)/28 = w

(210-$50)/28 = w

160/28 = w

5.71 = w

Therefore we can conclude that you will have the amount of  $210 in your account in 5.71 weeks.

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Answer:

The measure of C'T' after rotation of transformation is option (B) square root of 17 is the correct answer.

Step-by-step explanation:

What is a rotation transformation?

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction on the coordinate plane.  In both transformations the size and shape of the figure stays exactly the same.

For the given situation,

The graph shows the triangle CAT.

If a rotation takes triangle CAT to C'A'T',

then from the definition of rotation transformation the size and shape of the figure stays exactly the same.

Thus the measure of C'T' is same as CT.

Hence we can conclude that the measure of C'T' after rotation of transformation is option (B) square root of 17 is the correct answer.

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The most appropriate choice of percentage will be given by-

The store have to increase the price of the item by [tex]11\frac{1}{9}[/tex] %  in order to sell it for the original amount.

What is Percentage?

Percentage is a ratio expressed as a percentage of 100.

Let the original price be x

Percentage decrease in price due to sale = 10%

Decrease in price due to sale = [tex]\frac{10}{100} \times x[/tex]

                                                  = [tex]\frac{x}{10}[/tex]

New price = ([tex]x - \frac{x}{10}[/tex])

                 = [tex]\frac{10x-x} {10}[/tex]

                 = [tex]\frac{9x}{10}[/tex]

Now,

Increase in price from [tex]\frac{9x}{10}[/tex] to [tex]x[/tex] = [tex]\frac{x}{10}[/tex]

Percentage by which the store have to increase the price of the item in order to sell it for the original amount =

                                                                  [tex]\frac{\frac{x}{10} }{\frac{9x}{10} } \times 100[/tex]

                                                              =[tex]\frac{x}{10} \times \frac{10}{9x} \times 100[/tex]

                                                              = [tex]\frac{100}{9}[/tex]

                                                              = [tex]11\frac{1}{9}[/tex] %

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Answer: 31,000

Step-by-step explanation: You need to find two  numbers that if you add the two variables will equal 76,000 and i checked 40,000-14,000=A=40,000 which equaled  66,000 and then 50,000-14,000=A+50,000  which equaled 86,000 so i knew the number in between was the one which was 45,000 and 45,000-14,000=31,000

The x-intercept is when y=0.

[tex]2x+5(0)=-10 \\ \\ 2x=-10 \\ \\ x=-5 \\ \\ \therefore (-5, 0)[/tex]

The y-intercept is when x=0.

[tex]2(0)+5y=-10 \\ \\ 5y=-10 \\ \\ y=-2 \\ \\ \therefore (0, -2)[/tex]

Answer:10(x-3)

Step-by-step explanation:

Just divide 10 on both sides and be done with it

10/10x-30/10

move ten to the left

10(x-30/10)

10(x-3)

The value of x for the given arithmetic sequence is x = 4.

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.

Given,

First three terms of an arithmetic sequence are x, 2x + 4, 5x

The difference of 1 and 2 term equals the difference of 3 and 2 term.

⇒ 2x + 4 - x = 5x - 2x - 4

⇒ x + 4 = 3x - 4

⇒ 2x = 8

⇒ x = 4

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Answer:

3

Step-by-step explanation:

let unknown point (x, -2)

-2(x)+4=-2

-2x=-6

x=3

Ratio of length of cell A to the length of cell B will be 20 : 1.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Length of cell A = 4 x 10⁻⁵

Length of cell B = 0.000002 = 2 x 10⁻⁶.

Now,

Length of cell B into scientific notation = 2 x 10⁻⁶

Hence, The ratio of the length of cell A to cell B =  4 x 10⁻⁵ / 2 x 10⁻⁶

                                                                          = 2 x 10⁻⁵⁺⁶

                                                                          = 2 x 10¹

                                                                          = 20

Thus, Ratio of length of cell A to the length of cell B is 20 : 1.

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[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-2)}}} \implies \cfrac{-9}{3 +2}\implies {\Large \begin{array}{llll} -\cfrac{9}{5} \end{array}}[/tex]

By completing squares, we will see that the two solutions of the quadratic equaiton are:

m = -7 + √(145)/2

m = -7 - √(145)/2

Here we have the quadratic equation:

m^2 + 7m - 51/4 = 0

If we multiply both sides by 4, we will get

4m^2 + 28m - 51 = 0

Now, remember the relation:

(a + b)^2 = a^2 + 2ab + b^2

Then to complete the squares we can write:

(2m)^2 + 2*14*m + (14)^2 - (14)^2 - 51 = 0

(2m + 14)^2 - 14^2 - 51 = 0

(2m + 14)^2 = 145

We already completed squares, now the solutions are:

2m = -14 ± √145

m = (-14 ± √145)/2

m = -7 + √(145)/2

m = -7 - √(145)/2

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Question:

On a circle of radius 6 feet, what angle would subtend an arc of lenght 5 feet?

nswer:

he frormula for the lenght of arc (s) given an angle theta (in radians) and a radius R is:

We'll just have to clear theta from this equation, and convert it to degrees.

Therefore, the angle that would subtend an arc of lenght 5 feet on a circle of radius 6 feet is 47.74°

∵ There are 142 who prefer carrots

∵ There are 250 all

∴ The fraction represents who prefer carrots is

We must simplify the fraction by divide up and down by the same number until getting the simplest form

∵ 142 and 250 can divide by 2

∵ 71 and 125 can not divide by any number

∴ The fraction is 71/125

∴

∵ There are 97 who prefer peas

∵ There 250 all

∴ The fraction represents who prefer peas is

∵ 97 and 250 can not divide by the same number

∴ The fraction is 97/250

∴ The ratio is 97: 250

The value of the expression given as b(a+1)² -5(a+1) will be a²b + 2ab + 2b - 5a - 5.

It should be noted that based on the information that given, we want to factor out the variables that are given.

This will be illustrated thus:

b(a+1)² -5(a+1)

= b(a + 1)(a + 1) - 5(a + 1)

= b(a² + 2a + 2) - 5a - 5

= a²b + 2ab + 2b - 5a - 5

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Check the picture below.

Answer:30 in.

Step-by-step explanation:13+5+12

The graph is attached below.

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A statistics professor plans classes so carefully that lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes.The Probability that a given class period runs between 51.5 and 51.75 minutes is 0.025.

The density of a place refers to the quantity of things—which may include people, animals, plants, or objects—there are in it. Divide the number of objects by area's measurement to determine density. A country's population density is calculated by dividing its total population by its area, expressed in the square kilometers or miles.

A flat distribution with the same probability density for each number is called a uniform distribution. The area beneath the distribution's graph must be 1. This distribution has a range of 10.0 and runs from 46.0 to 56.0 minutes (56.0-46.0). Since the density must be 1/10, 10.0*0.1 Equals 1.0.

Multiply the range between the numbers by the probability density to get the likelihood of being between two numbers

range: 50.75-50.5 = 0.25

0.25*0.1 = 0.025

P(50.5 < x < 50.75) = 0.025

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The description of the one transformation that maps ∆ABC to ∆A'B'C' is a rotation counterclockwise, 90 degrees, with the center at the origin

A rotation transformation can be described as the angular motion of a rigid, geometric figure around a point

The vertices on the triangle ∆ABC are;

The vertices on the triangle ∆A'B'C' are;

The rotation of a point A(x, y), 90° counterclockwise about the origin gives the point A'(-y, x)

The reflection of a point (x, y) across the y–axis gives the point A'(-x, y)

Therefore;

The coordinates of the vertices of∆ABC following a 90° counterclockwise rotation gives;

A(-5, -2) → A'(2, -5)

B(-7, -4) → B'(4, -7)

C(-5, -5) → C'(5, -5)

Therefore;

The transformation that maps ∆ABC to ∆A'B'C' is therefore a rotation of 90° counterclockwise about the origin

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Algebra - The total cost of the fruit 8.26

What is Algebra ?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Given that,

The cost of all fruit is = 1.75/pound

William bought Peaches = 2(2/5)pounds = 12/5pounds

William bought Apricot = 2(1/3)pounds = 7/3pounds

The cost of Peaches = 12/5 x 1.75

                          = 12 x 0.35

                          = 4.2

The cost of Apricot = 7/3 x 1.75

                                = 7 x 0.58

                                = 4.06

Total cost of the fruit = 4.2 +4.06

                                   = 8.26

Hence, the total cost of the fruit is 8.26
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Answer:

12:20 because for ever 12 fruite pies 20 cream pies are made so it would look like the following!

12:20

Step-by-step explanation:

Hope it helps! =D

Answer:

true

Step-by-step explanation:

2.5≤25

Compare 2.5 and 25.

True

Answer:

Step-by-step explanation:

If its 15000:65000

Then we divide both sides by 1000 first :

15 : 65

Then we divide both sides by 5 :

3 : 13

This is simplified

If K is a unit then it will be 3k : 13k by doing the above steps but skipping the first.

Hope this helped and have a good day

The predicted distance of the ball is 271.93 feet.

The speed of an item, which is a scalar quantity in everyday usage and kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time. Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

Given Data

The speed, s, is measured in miles per hour, and distance, y, is

measured in yards.

The line of fit is given by ý = 3.98 +53.59s.

When s = 5 sec

y = 3.98 + 53.59(5)

y = 3.98 + 267.95

y = 271.93

The predicted distance of the ball is 271.93 feet.

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The x intercepts are 0, 1, -2, 2.

What is intercepts?

The term "intercept" refers to the x- and y-intercepts of of a given equation. The x-intercept is the point at which a line crosses the x-axis and the y-intercept is the point at which a line crosses the y-axis.

In the linear equation, we have the general form as y=mx+b

where m and b are constants.

We have to find the x intercept of the given function.

Given equation is [tex]x^{4} +x^{3} -4x^{2} -4x[/tex]

put this equation equals to 0

x^{4} +x^{3} -4x^{2} -4x = 0

[tex]x(x^{3} +x^{2} -4x-4)=0[/tex]

from this x = 0

x =1 is also the root of the equation

we get [tex]x^{2} -4=0[/tex]

from this

x = -2, 2

The intercept are 0,1,2,-2.

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Answer:

1:20

Step-by-step explanation:

Because it's maths duhh