A university classifies its classes as either "small" (fewer than 40 students) or "large." A dean sees that 62% of Department A’s classes are small, while Department B has only 40% small classes. She wonders if she should cut Department A’s budget and insist on larger classes. Department A responds to the dean by pointing out that classes for third- and fourth-year students tend to be smaller than classes for first- and second-year students. The following three-way table gives the counts of classes by department, size, and student audience. Write a short report for the dean that summarizes these data. Start by computing the percents of small classes in the two departments and include other numerical and graphical comparisons as needed. Here are the numbers of classes to be analyzed: CSIZE
Department Year Size Count
A First Large 2
A First Small 0
A Second Large 9
A Second Small 1
A Third Large 5
A Third Small 15
A Fourth Large 4
A Fourth Small 16
B First Large 18
B First Small 2
B Second Large 40
B Second Small 10
B Third Large 4
B Third Small 16
B Fourth Large 2
B Fourth Small 14
Total 158

Answers

Answer 1

Answer:

trffhuuuygreertttf 5

Step-by-step explanation:

fffffffftfdeerrr10


Related Questions

Tính (1,5)4; ((-2)/3)3; (√3)5.

Answers

Step-by-step explanation:

câu trả lời là trong bức ảnh trên

To solve the equation, Lorie applies the distributive property, combines like terms, then applies the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible coefficients of x after Lorie has completed these steps?

10 (one-half x + 2) minus 5 = 3 (x minus 6) + 1
–32 and 2
–2 and 32
–2 and 2
–32 and 32

Answers

Answer: -2 and 2

For this problem you really need to use algebraic skills. Coefficients refer to the number by the variable. So if you follow the steps it gives you then you’re fine.

Problem:
10(0.5x+2) - 5 = 3(x-6) + 1

Distribute:
5x +20 - 5 = 3x - 18 + 1

Combine like terms:
5x + 15 = 3x - 17

Addition and subtraction properties:
5x - 3x + 15 = -17
2x = -17 -15
2x = -32

OR:
5x + 15 = 3x - 17
15 + 17 = 3x - 5x
32 = -2x

Therefore your answer is -2 and 2 because coefficient is the number being multiplied by the variable. In this case it can be -2 or 2 depending where you move the variables (aka adding them or subtracting them from both sides)

Answer:

-2 and -2

Step-by-step explanation:

help please show work

Answers

7.) 18.8 square kilometers
1/2 • 4.7 x 8 = 18.8

8.) 40.96 square miles
6.4^2 = 40.96

9.) 7 square meters
1/2 • 4 • 3.5 = 7

10.) 36.4 square centimeters
(2.6 + 7.8) ÷ 2 x 7

11.) 22.8 square yards
6 • 3.8 = 22.8

12.) 30.6 square centimeters
5.1 • 6 = 30.6

Explanation:
FORMULAS FOR AREAS OF:
Triangle: 1/2 • base • height
Square: side^2
Parallelogram: base • height
Rectangle: Length • width
Trapezoid: (a + b) ÷ 2 x height
(a & b are the two bases)

hope this helps!

Cos15°°- Sin 15°= 1/√2​

Answers

Refer this attachment

Hope it's help you

3(t+4)=9 t=?
-(c-6)=0 c=?
-10(s+4)=-122 s=?​

Answers

Answer:

t = -1

c = 6

s = 8.2 or 8 1/5 (same thing just different notation)

Step-by-step explanation:

3(t+4) = 9

3t + 12 = 9

3t = -3

t = -1

-(c-6) = 0

-c + 6 = 0

-c = -6

c = 6

-10(s+4) = -122

-10s - 40 = -122

-10s = -82

10s = 82

s = 82/10 = 8.2 or 8 2/10 or 8 1/5

There are 5,000 books in the​ town's library. Of​ these, 4,700 are fiction. To find the percent of the books that are​ fiction, first set up the percent equation. Then find the percent.

Answers

Answer:

94%

Step-by-step explanation:

4,700/5,000 x 100%

0.94 x 100% = 94%

Answer:

94%

Step-by-step explanation:

Pic added
Solve for x.
L
20x + 10
850
K
J
3
8

Answers

Answer:

Option (3)

Step-by-step explanation:

By applying the property of inscribed angle and intercepted arc in the given circle,

"Measure of an inscribed angle is half the measure of the intercepted arc"

[tex]m(\angle LKJ)=\frac{1}{2}m(\text{arc LJ})[/tex]

[tex]85=\frac{1}{2}(20x+10)[/tex]

[tex]170=20x+10[/tex]

[tex]20x=160[/tex]

[tex]x=8[/tex]

Therefore, Option (3) is the correct option.

Select all the correct answers.

These examples show the application of the negative exponent property. Which two examples correctly apply this property?

Answers

Answer:

First one and Third one

Step-by-step explanation:

Answer is correct from Plato

The correct expressions are:

[tex]17^{-1/4}[/tex] [tex]= \frac{1}{17^{1/4}}[/tex]

[tex]y^{1/2}[/tex] [tex]= \frac{1}{y^{-1/2}}[/tex]

In the given expression,

Since we know that the rule of exponent,

[tex]a^{-n} = \frac{1}{a^n}[/tex]

Therefore,

For the given expression,

[tex]17^{-1/4}[/tex]

Using the above property of exponent we can write it,

[tex]= \frac{1}{17^{1/4}}[/tex]

Hence this is the correct expression.

For the given expression,

[tex]y^{1/2}[/tex]

Using the above property of exponent we can write it,

[tex]= \frac{1}{y^{-1/2}}[/tex]

Hence this is the correct expression.

To learn more about exponent visit:

https://brainly.com/question/31242910

#SPJ2

67 2/3% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?

Answers

Answer:

2/3

Step-by-step explanation:

2/3 is 66 2/3%

06.04 find the area of the image below a.24.6 units b.25.8 units c.26.3 units d.27.5 units​

Answers

Its D. 27.5 units.

Divide the figure into one parallelogram and one triangle.

Count the base and height of the parallelogram:
The base is 5 units, the heigth is 3 units.
AREA- 3 • 5 = 15 units

Count the base and height of the triangle:
The base is 5 units, the height is also 5 units.
AREA- 1/2 • 5 • 5 = 12.5

Add the area of the parallelogram and the area of the triangle:
15 + 12.5 = 27.5

SO, the area of the whole figure is 27.5 square units.

BRAINLIEST WILL BE APPRECIATED!
Have a nice day -SpaceMarsh

What is the answer. I need it ASAP u have to choose 3 answers

Answers

x= 5
y=1.25 :))))
If it is true, don't forget to click ”thanks♥️” for me

please help its urgent​

Answers

Answer:

Step-by-step explanation:

18x-6=120

18x=120+6

18x=126

    x=126÷18

    x=7

ANYONE KNOW THE ANSWER TO THIS??

Answers

Answer:

x = 14 is your answer

Step-by-step explanation:

76 = 7x-22, so to figure it out, you first move -22 to the other side and get

76+22 = 7x.

add them together and you get 98 = 7x

7x would be your equation, so divide 98 by 7 and you get your solution

x = 14 is your answer

the answer is B: x=14

A box has three balls, one white and two red. We select one ball, put it back in the box, and select a second ball (sampling with replacement). Find the probability of the following events:

a. Let F= the event of getting the white ball twice.
b. Let G= the event of getting two balls of different colors.
c. Let H= the event of getting white on the first pick.
d. Are F and G mutually exclusive?
e. Are G and H mutually exclusive?

Answers

Answer:

See explaation

Step-by-step explanation:

Given

Represent the balls with the first letters

[tex]W =1[/tex]

[tex]R =2[/tex]

Solving (a): P(F) --- White balls twice

The event of F is:

[tex]F = \{(W,W)\}[/tex]

So:

[tex]P(F) = P(W) * P(W)[/tex]

[tex]P(F) = \frac{n(W)}{n} * \frac{n(W)}{n}[/tex]

[tex]P(F) = \frac{1}{3} * \frac{1}{3}[/tex]

[tex]P(F) = \frac{1}{9}[/tex]

Solving (b): P(G) --- two different colors

The event of G is:

[tex]G = \{(W,R),(R,W)\}[/tex]

So:

[tex]P(G) = P(W) * P(R) + P(R) * P(W)[/tex]

[tex]P(G) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(R)}{n} * \frac{n(W)}{n}[/tex]

[tex]P(G) = \frac{1}{3} * \frac{2}{3} + \frac{2}{3} * \frac{1}{3}[/tex]

[tex]P(G) = \frac{2}{9} + \frac{2}{9}[/tex]

[tex]P(G) = \frac{4}{9}[/tex]

Solving (c): P(H) --- White picked first

The event of H is:

[tex]H = \{(W,R),(W,W)\}[/tex]

So:

[tex]P(H) = P(W) * P(R) + P(W) * P(W)[/tex]

[tex]P(H) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(W)}{n} * \frac{n(W)}{n}[/tex]

[tex]P(H) = \frac{1}{3} * \frac{2}{3} + \frac{1}{3} * \frac{1}{3}[/tex]

[tex]P(H) = \frac{2}{9} + \frac{1}{9}[/tex]

[tex]P(H) = \frac{3}{9}[/tex]

[tex]P(H) = \frac{1}{3}[/tex]

Solving (d): F and G, mutually exclusive?

We have:

[tex]F = \{(W,W)\}[/tex]

[tex]G = \{(W,R),(R,W)\}[/tex]

Check for common elements

[tex]n(F\ n\ G) = 0[/tex]

Hence, F and G are mutually exclusive

Solving (e): G and G, mutually exclusive?

We have:

[tex]G = \{(W,R),(R,W)\}[/tex]

[tex]H = \{(W,R),(W,W)\}[/tex]

Check for common elements

[tex]n(G\ n\ H) = 1[/tex]

Hence, F and G are not mutually exclusive

HELP MATH ANSWER QUESTION

Answers

the answer is in the picture

I’m not good at math

If 12 muffins cost $27, how much would 2 muffins cost?​

Answers

2 muffins would be $4.5

Select the graph of the solution. Click until the correct graph appears.

|x| = 3

Answers

Answer:

We want to find the graph of:

|x| = 3

Remember how the absolute value function works:

|x| = x  if x ≥ 0

|x| = -x if  x < 0

Then for the equation:

|x| = 3

We have two possible values of x:

x = 3

|3| = 3

and x = -3

|-3| = -(-3) = 3

Then the graph of this equation is two vertical lines, one at:

x = 3

and another at:

x = -3

The graph can be seen below:

Which expression can be modeled using the number line?

Answers

Answer:

7 x 1/10 = 7/10

Step-by-step explanation:

There are 7 "bumps" on the number line, and each "bump" moves the line 1/10.

This can also be modeled as

1/10 + 1/10 + 1/10 +1/10 +1/10 +1/10 +1/10 = 7/10

find the equation of straight line passing through each of the following pairs of points
a) (2,4) and (7,2)​

Answers

Answer:

The equation of the line is [tex]y = -\frac{2}{5}x + \frac{24}{5}[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope:

Having two points, the slope is given by the change in y divided by the change in x. Points (2,4) and (7,2)​, so:

Change in y: 2 - 4 = -2

Change in x: 7 - 2 = 5

Slope: [tex]m = \frac{-2}{5} = -\frac{2}{5}[/tex]

So

[tex]y = -\frac{2}{5}x + b[/tex]

(2,4)

This means that when [tex]x = 2, y = 4[/tex]. So

[tex]y = -\frac{2}{5}x + b[/tex]

[tex]4 = -\frac{2}{5}(2) + b[/tex]

[tex]b = 4 + \frac{4}{5} = \frac{20}{5} + \frac{4}{5} = \frac{24}{5}[/tex]

The equation of the line is [tex]y = -\frac{2}{5}x + \frac{24}{5}[/tex]

please help meeeeeeeeeeeeeeeeee

pt 1

Answers

Answer:

Completing the square

Step-by-step explanation:

The proof is lengthy, and I don't think you came here to see that whole proof. Here it is anyway to show you the process of completing the square.

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:more-on-completing-square/a/quadratic-formula-proof-review

PLEASE HELP ASAP Determine the period.

Answers

That’s easy_________

Consider the graph below: Point T(-2; 3) is a point on the Cartesian Plane such that B is the angle of inclination of OT. T(-2;3) у х 2.1 Calculate the following without the use of a calculator: a) tanſ b) 13 sin B.cosB (2)​

Answers

Answer:

(a) - 3/2

(b) - 78/25

Step-by-step explanation:

According to the trigonometry, the tangent of any angle is the ratio of rise to the run of the right angle triangle .

The sine of an angle is the ratio of rise to the hypotenuse of the right angle triangle.

The cosine of an angle is the ratio of run to the hypotenuse of the right angle triangle.

(a)

[tex]tan\beta = \frac{3}{-2} = \frac{-3}{2}[/tex]

(b)

[tex]13 sin\beta cos \beta = 13\times \frac{3}{\sqrt{3^2+2^2}}\times\frac{-2}{\sqrt{3^2+2^2}}\\\\13 sin\beta cos\beta = \frac{- 78}{25}[/tex]

In mixture A of candy ingredients there are 3 parts of milk-chocolate for every Z parts peanut separate mixture B. there are 4 parts of nougat for every 3 parts of caramel equat parts of A and combined in one mixing bow what is the ratio of peanut butter to nougat in the bowl

Answers

3m=Z :A
4n=3c :B

If it’s a1:1 for A:B
z:4n

Feel like you left out something but this is what I got from info provided

Answer:

D. 7:10

Step-by-step explanation:

The Correct Answer

27. A 35 foot long tube is cut into two pieces with ratio 4:5 Find the length of the shorter piece.
a) 9 feet
b) 16 feet
c) 12 feet
d) 20 feet

Answers

The ratio 4:5> 4x+ 5x=35> 9x=35> x=3.8 and then you do (3.8)3.8=14.7. Therefore there is not a correct answer.

The length of the shorter piece is 15.55 feet.

Concept:Firstly, we will assume the ratio in which this tube is cut.Then, we will substitute the ratio  and solve for the lengths of the two pieces.

How to solve the given question?As the tube is cut into a ratio of 4:5, Let the length of the shorter piece be 4k and the longer piece be 5k.Total length of tube = 35 feet
∴ 4k + 5k = 35
∴ 9k = 35
∴ k = [tex]\frac{35}{9}[/tex]The length of shorter tube piece = 4 k = 4 × [tex]\frac{35}{9}[/tex] = 15.55 feet.

Thus, the length of the shorter piece is 15.55 feet.

As none of the options matches the answer, all options are incorrect.

Learn more about Ratio & Proportion here:

https://brainly.com/question/12182733


#SPJ2

A TRIANGLE HAS SIDE LENGTH 3, 8 AND 9. FIND THE ANGLE MEASUREMENTFOR THE ANGLE CROSS FROM THE SIDE WITH LENGTH OF 8.

Answers

Answer:tu culo

Step-by-step explanation:

Evaluate the expression for the given value of the variable.

3x + 4 when x = 2


5y - 3.6 when y = 4


7z4+ 1.05 when z = 1.2


20 - b3.2when b = 5.2

Answers

Answer:

I NOT 100% SURE BUT I THINK ITS .B)

Step-by-step explanation:

Please can you help me

Answers

Answer:

[tex]x = 24.75[/tex]

Step-by-step explanation:

Required

Find x

To find x, we have:

[tex]\angle PQR + \angle RPQ + \angle QRP = 180[/tex] -- angles in a triangle

Because [tex]\bar {PR}[/tex] is extended to S, then:

[tex]\angle QRS = \angle QRP[/tex]

So, we have:

[tex]2x + 6 + x - 7 + 5x -17 = 180[/tex]

Collect like terms

[tex]2x + x + 5x = 180 + 17 + 7-6[/tex]

[tex]8x = 198[/tex]

Divide by 8

[tex]x = 24.75[/tex]

Please help pleaseeeeee

Answers

Answer:

Step-by-step explanation:

Pythagorean theorem states, square of longer is equal to the sum of square of other sides.

That is, c² = a² + b²

           [tex]50^2 = 48 ^2 + 14^2\\\\2500 = 2304 + 196\\\\2500 = 2500[/tex]

Therefore, the lengths satisfies Pythagorean Theorem.

If the sides of a triangle satisfies Pythagoras Theorem, then the triangle is right triangle.

Which operation should you perform first in the expression 7x2^3?

Answers

Answer:

Below,

Step-by-step explanation:

The exponent part is done first

7 x 2^3

= 7 * 8

= 56.

You use the acronym PEMDAS:-

( E ( exponential) comes before  M (multiply))

Which is equivalent to f/125)*? O 125+ 0 1254 125" C. 125/11​

Answers

Answer:

I think choose (1)

[tex]125 ^{ \frac{1x}{3} } [/tex]

Other Questions
The sequence of subunits in a protein is most directly dependent on the *O region in the cell where enzymes are producedDNA in the chromosomes in a cellO type of cell in which starch is foundkind of materials in the cell membrane 2 brothers are 1m 60 cm and 1m 44cm tall. What is their ratio of their height In which government system does the government not interfere with the production and selling of goods Miranda's financial aid stipulates that her tuition not exceed $1500. If her college charges a $55 registration fee for the term plus $275 per course, what is the greatest number of courses for which Miranda can register? Miranda can register for at most how many courses? 2+2-2-5+5+6+4+8-2+47+28 Tp nghim ca phng trnh 2^x=-1 l what is equivalent to 64 1/4 which consumers live in neritic zone Translate this word problem as a system of equations and then solve using substitution.The sum of two numbers is 84. One number is three times the other. Find the numbers.Put your answer in this form: The numbers are 3 and 6. 17.35 ma of current is flowing though a brown-red-brown resistor,what is v paste or draw pictures of five junk food items and list five harmful effects of those items The diagram below represents the time a cell spends in the two main phasesof the cell cycle. In which phase does a cell spend more time?A. ProphaseB. MitosisC. MeiosisD. Interphase Chromosomes contain the genetic material found in cells. true or false?1. true2. false Fill in the blank in the following sentence with the appropriate indirect object pronoun. Los estudiantes ___ dan la tarea a la profesora. Los murales de este expresionista mexicano estn localizados en Estados Unidos y en Mxico. Sus murales intentaban demostrar la rica historia de Mxico y expresar las ideas del gobierno al pblico. A) Franck de las MercedesBajo la influencia de Mir y Picasso, l desarroll un estilo que reflejaba el mundo del sueo. Sus obras eran hiperrealistas con imgenes de fantasa y lo absurdo. Intentaba mezclar las ideas y presentarlas como una realidad alternativa. B) Pablo PicassoEl arte pop y el arte abstracto manifiestan las influencias del arte abstracto de Nueva York y los artistas de grafiti. No estudi el arte en una escuela, pero imita famosos artistas modernos. C) Salvador DalSin duda, sus obras muestran influencias de frica en el uso de las formas. Pas por una etapa de gris, azul y rojo. Usaba los colores y las formas geomtricas para hacer comentarios de todo lo que le rodeaba en la sociedad. D) Jos Clemente Orozco the Greeks. felt at home with human godsA. themB. themselvesC. yourselvesD.they Someone help please!!! who is the founder of Abuko Nature Reserve Continue the number pattern for the next three terms 1,8,27.....,........,.......... - 10 + x < - 2 what is the solution of the inequality shown below