A school librarian surveyed a random sample of $50$ students to find out which library resources students value most. The table below shows the results.

Library Resources Number of Students
Books 24
Study Areas 10
Classes 6
Movies 10

Which statements are best supported by the data?

Select all that apply.

A It is expected that $15\%$ to $25\%$ of all students will value movies the most.

B It is expected that $20\%$ to $30\%$ of all students will value books the most.

C In a group of $25$ students, it is expected that around $5$ students will value study areas the most.

D In a group of $100$ students, it is expected that around $6$ students will value classes the most.

E In a group of $200$ students, it is expected that $20$ students will value study areas the most, and $20$ students will value movies the most.

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-4) / 13 - (-5)

9 / 18

1/2

y = 1/2x + b

-4 = 1/2(-5) + b

-4 = -5/2 + b

-3/2 = b

Answer:

90 cents

Step-by-step explanation:

Find how much money you have by plugging in 18 as n into the expression:

5n

5(18)

Multiply:

= 90

So, when you have 18 nickels, you have 90 cents

Answer:

Domain { -13,12,20 }

Step-by-step explanation:

The domain is the input values

Domain { -13,12,20 }

We list them in order from smallest to largest and do not list repeats

Answer:

Probability of an event = 1 / 10

Step-by-step explanation:

Given:

Total number of people in particular area = 1,600

Number of people vaccinated = 160

Find:

Probability[people vaccinated]

Computation;

Probability of an event = Number of favorable outcomes / Total number of outcome

Probability of an event = 160 / 1600

Probability of an event = 16 / 160

Probability of an event = 1 / 10

Answer:

B because when at B angels are the same qnd A and c are also same

Answer:

[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]

Step-by-step explanation:

The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].

In [tex]5x^2-2x-8=0[/tex], we can assign the values:

Thus, we have:

[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]

Answer:

(1+√41)/5, (1-√41)/5

Step-by-step explanation:

quadratic formula is (-b±√(b^2-4ac))/2a

in this equation,

a = 5

b = -2

c = -8

plug in the values

(2±√(4 - 4(5)(-8))/10

(2±√(4 + 160)/10

(2±√(164)/10

(2±2√(41))/10

1. (2+2√41)/10

(1+√41)/5

2. (2-2√41)/10

(1-√41)/5

Answer:

I geuss because the scale factor is 2 that the resulting triangle will be almost twice the size. Because in a dilation you multiply it. If you dont know how to dilate a triangle with a compass I would suggest looking for a video online. But I know for the part that says "Is the image of ABC similar to the original triangle" the answer would be yes it is similar because you are just dilating the triangle not changing its orientation. I hope this helps! Good luck!

Answer:

If you were to use the sine formula you would have to use the cosine formula to get one of the opposite sides and then use the sine formula.

For the area why not use 1/2 * 20 to get the base.

Then the height would be 24 * sin 63 = 21.38

That would give an area of 213.8

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {( - 2 - \sqrt{3} )}^{2} [/tex]

[tex] = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} [/tex]

[tex] = 4 + 4 \sqrt{3} + 3[/tex]

[tex] = 7 + 4 \sqrt{3} [/tex]

[tex] ({a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]

[tex] \sqrt{a} \times \sqrt{a} = a[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

three trillion four hundred and sixty eight million, seven hundred and twenty nine thousand and one hundred sixty five

Step-by-step explanation:

Answer:

D

Step-by-step explanation:     Time Stamp (6  9  10  32)

Easiest way is to graph both equation and look for the intersections  see attached sreen shot

or  solve by substitution

y = 2x

y = x²- 8

2x = x²- 8                  solve for x

0  = x² - 2x - 8          factor

0 = (x - 4)(x + 2)

0 = 0   when x = 4 and -2      

calculate the y values

y = 2x      x = 4

y = 8                              (4, 8)

y = 2x      x = -2

y = -4                            (-2, -4)

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

Rule:

if A+B = 90, then cos(A) = sin(B) and sin(A) = cos(B)

This can be rephrased into cos(A) = sin(90-A) and sin(A) = cos(90-A)

We'll focus on the second case sin(A) = cos(90-A)

Simply replace A with x and we have the same idea.

---------

So,

sin(x) = cos(90-x)

cos(90-x) = sin(x)

cos(90-x) = 4/5

You can prove this by drawing out a right triangle as shown below.

Answer:

6b+16n=178

n=b+7

Step-by-step explanation:

Let b=the number of bracelets made

Let n=the number of necklaces made

​

System of Equations:

​

6b+16n=178

n=b+7

Answer:

6x < - 39 3/4

Step-by-step explanation:

Answer:

i do not understand what youre asking

Step-by-step explanation:

see^^^^^

Answer:

angle x= 60

so it is in the ratio 1:2:√3

√3x=3

ie.x=√3/3

adjacent side=x=√3/4

Step-by-step explanation:

everything can be found in the picture

Answer:

4

Step-by-step explanation:

Answer:

There are several different means:

Arithmetic: 4 (This is most likely your answer.)

Geometric: 3.0862

Harmonic: 2.3736

Hope that this helps!

Answer:

y = [tex]\sqrt{x-5}[/tex]

This is the correct answer because I got it right.

Answer:

The circumference of the circle is 28.26 m.

The area of the circle is 63.585 [tex]m^{2}[/tex].

Step-by-step explanation:

To solve for the circumference of the circle, start by using the circumference formula of a circle, which is [tex]C= 2\pi r[/tex]. However, 3.14 will be used instead of [tex](\pi)[/tex] for this formula.

First, the radius of the circle needs to be found. To find the radius of the circle, divide the diameter by 2 because the radius equals half of the diameter. The radius is 9 m divided by 2, which equals 4.5 m.

Next, plug in the radius into the formula, and the formula will look like [tex]C=(2)(\pi )(4.5 m)[/tex]. Then, solve the equation, and the answer will be 28.26 m.

To solve for the area of the circle, start by using the area formula of a circle, which is [tex]A=\pi r^{2}[/tex]. However, 3.14 will be used instead of [tex](\pi)[/tex] for this formula.

For the area, plug the radius into the formula, and the formula will look like [tex]A= (3.14)(4.5m)^{2}[/tex]. Then, solve the equation, and the answer will be 63.585 [tex]m^{2}[/tex].

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

Work Shown:

Rise = -3

Run = 2

Slope = rise/run = -3/2 = -1.5

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

Notes:

Answer:

m = - 3 / 2

Rise : -3

Run : 2

Step-by-step explanation:

According to the picture,

first coordinate : ( 2 , 1 )

second coordinate : ( 4 , - 2 )

Formulae : m=(y2-y1)/(x2-x1)

Substituting,

m = ( - 2 - 1 ) / ( 4 - 2 )

m = - 3 / 2

If this helps you, please mark brainliest!

Answer:

6.)

The answer is 63 inches because this value is closer to the mean and while the data is positively skewed (as in the mean is greater than the median) it's not by that much.

7.)

This would mean that the data is symmetric. By this, I mean that there would have to be an equal amount of data on either side of the mean. For example, for every entry 2 units below from the mean there must be one 2 units above the mean and so on. There would also have to be many entries on the mean/median (so that it would also be the mode)

8.)

We can observe that there are no real outliers that would heavily influence the data and so we can just take the mean

the mean of student A is: (68+72+73+67)/4= 70

The mean of student B is: (74+73+73+74)/4=73.5

We can see that student A, on average, is closer to 70 than student B and can therefore conclude that student A is more percise

Answer:

f = 13[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given that f and e are congruent then e = f

Using Pythagoras' identity in the right triangle

f² + e² = 26² , that is

f² + f² = 676

2f² = 676 ( divide both sides by 2 )

f² = 338 ( take the square root of both sides )

f = [tex]\sqrt{338}[/tex] = [tex]\sqrt{169(2)}[/tex] = 13[tex]\sqrt{2}[/tex] ≈ 18.4 ( to 1 dec. place )

Answer:

f = 25.85751233

Step-by-step explanation:

f^2+E^2=26^2

Answer:

1. C) 8•9

2. D) 4•2

Step-by-step explanation:

1. multiplication come first before division

2. You have to resolve parenthesis first (3+4•2)

3•24÷12-(3+8)

Answer:

i think c and d

Step-by-step explanation:

math

Answer:

y=10

Step-by-step explanation:

Answer:

[tex]{ \tt{y {}^{2} = 4 {ax} }} \\ = - 10[/tex]

Answer:

Step-by-step explanation:

Tangent from the point outside the circle are equal

WX  = XY

7x - 29 = 2x + 16 {Add 29 to both sides}

7x  = 2x + 16 +29

7x = 2x + 45 {Subtract 2x from both sides}

7x - 2x = 45

5x = 45     {Divide both sides by 5}

x = 45/5

x = 9

WX = 7x - 29

       = 7*9 - 29

        = 63 - 29

WX = 34

Answer:

The answer is below

Step-by-step explanation:

A drink is made by adding water to juice.

Instructions

Add an amount of water that is between 3 times and 5 times the amount of juice

Tanya has 130 ml of juice.

If she follows the instructions, work out the minimum and maximum amounts

of the drink she can make.

Solution:

The minimum amount of water that can be added to the juice is 3 times the amount of the juice, hence:

Minimum amount of water = 3 * 130 ml of juice = 390 ml of water

Therefore minimum amount of drink = 390 ml of water + 130 ml of juice

minimum amount of drink = 520 ml

The maximum amount of water that can be added to the juice is 5 times the amount of the juice, hence:

Maximum amount of water = 5 * 130 ml of juice = 650 ml of water

Therefore maximum amount of drink = 650 ml of water + 130 ml of juice

Maximum amount of drink = 780 ml

The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.