Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The mean and standard deviation of the sum, S, of tuition for a randomly selected pair of in-state and out-of-state students are μS = $6,348. 75 and σS = $1,508. 48. How can these values be interpreted? Check all that apply. The average of the sums of both types of tuitions would be $6,348. 75 for many, many randomly selected pairs of students. Students who pay both types of tuition will pay $6,348. 75 per semester. For a pair of randomly selected in- and out-of-state students, the sum of their tuitions is $6,348. 75. For a pair of randomly selected in- and out-of-state students, the sum of their tuitions typically varies from the mean of $6,348. 75 by about $1,508. 48. Students who pay both in- and out-of-state tuition should expect their cost to vary by about $1,508. 48 per semester

Answers

Answer 1

The average tuition for two randomly chosen in-state and out-of-state students is around $1,508 less than the mean of $6,348.75.

Mean Deviation

The average deviation from the mean value of the provided data set is determined using the mean deviation, which is defined as a statistical metric.

Given

μS = $6,348.75

σS = $1508.48

The average sum of the tuition fees is $6348.75

As a result, it follows:

The standard deviation of the tuition for in-state students is measured as a difference from 6348.75.

The standard deviation for out-of-state students gauges how their tuition is different from 1508 in total.

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Related Questions

P = 4x + 3y
x = 5
y=-2
(a) Work out the value of P.
(b) Expand 4e(e + 2)​

Answers

Answer:

P=4×5+3×-2

P= 20x-6y

4e²+8e

Look at image to answer

Answers

1350000 because 20x15 and 30x15

Answer:135000 ft^2

Step-by-step explanation:

Shay and Nadine solve this problem in two different ways.
Mark has $25 in his bank account.
He makes $7 per hour babysitting.
How many hours must he babysit to have a total of $165 in his account?.
Use the drop-down menus to complete the sentences below.
Shay's
Assignment
25+7h-165
25-25 7h-165-25
7h-140
7h-140
7h 7h
A-20
Nadine's
Assignment
166-25-140
You need to make
$140 babysitting
140
-20
You need to babysit
for 20 hours
Please Help!

Answers

On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.

What is proportionality?

When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.

Here,

U/5 = 17/11

U = 17/11 X 5

U = 7.72

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A recipe calls for 2 ½ cups of flour to bake 12 cookies. If each person eats 1 cookie, and Elizabeth needs to serve 44 people, how many cups of flour will Elizabeth need to bake the cookies?

Answers

44 divided by twelve is four so you have to times 2. 1/2 by four so you will have enough so the answer is 10 cups of flour

What is the area of the shaded region in the inage below? Leave your anser in terms of pi

Answers

Answer:

182π

Step-by-step explanation:

Subtract areas of two smaller circles from the largest one

Area of largest circle (which has a diameter of 26+14, or 40) = 20²π or 400π

Area of second largest circle = 169π

Area of smallest circle = 49π

400π - (169π + 49π) = 182π

Mona's new bicycle weighs 1812 pounds.

Weight Equivalent

1 kg = 2.2 pounds

Using the table above, about how many kg does her bike weigh?

A
8

B
16

C
41

D
84

Answers

answer

B.16PO _^^ PLSPLS

The frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range. What type of selection does this demonstrate

Answers

On solving the provided question, we can say that stabilizing selection type of selection does this demonstrate is shown by frequency distribution.

what is frequency distribution?

In order to make the information easier to understand, frequencies are organized into frequency distributions, which are visual displays. The frequencies displayed in a frequency distribution can be absolute or relative, like ratios or percentages. Both a graph and a table of frequencies can be used to represent a frequency distribution. Both the exact number of observations and the proportion of observations falling within each range can be displayed in a frequency distribution. A relative frequency distribution is the name given to the distribution in the latter scenario. The frequency of an observation is the frequency with which it appears in the data. The frequency of the number 9 in the following list of numbers, for instance, is 5. (because it occurs 5 times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9,

stabilizing selection type of selection does this demonstrate is shown by frequency distribution.

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Complete question: The frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range of birthweights. What type of selection does this exemplify?

Find the area of the trapezoid below to the nearest tenth.

Answers

Answer:

Area of trapezoid = 67.6 square units

Step-by-step explanation:

Area of a trapezoid is given by the expression,

Area of the trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the given trapezoid.

And '[tex]h[/tex]' = Height between the parallel sides

From the given triangle ABE,

m(∠ABE) = m(∠ABC) - m(∠EBC)

m(∠ABE) = 120° - 90°

               = 30°

By applying cosine rule in the given triangle,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{BE}{AB}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{BE}{6}[/tex]

BE = [tex]3\sqrt{3}[/tex] units

By applying sine rule in ΔABE,

sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{2}=\frac{AE}{AB}[/tex]

[tex]\frac{1}{2}=\frac{AE}{6}[/tex]

AE = 3 units

Length of [tex]b_1=BC=10[/tex]

Length of [tex]b_2=AD=(AE+EF+FD)[/tex] [AE = FD, since given trapezoid ABCD is an isosceles trapezoid]

                [tex]b_2=3+10+3[/tex]

                [tex]b_2=16[/tex]

Height between the parallel sides [tex]h=3\sqrt{3}[/tex]

Area of the trapezoid = [tex]\frac{1}{2}(BC+AD)BE[/tex]

                                    = [tex]\frac{1}{2}(10+16)(3\sqrt{3})[/tex]

                                    = [tex]39\sqrt{3}[/tex]

                                    = 67.6 square units

12x - 2/3 = 83 1/3
Can you please help me solve to find X?

Answers

let's firstly convert the mixed fraction to an improper fraction, and then let's multiply both sides by the LCD of all denominators

[tex]\stackrel{mixed}{83\frac{1}{3}}\implies \cfrac{83\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{250}{3}} \\\\[-0.35em] ~\dotfill\\\\ 12x-\cfrac{2}{3}=\cfrac{250}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 12x-\cfrac{2}{3} \right)=3\left( \cfrac{250}{3} \right)}\implies 36x-2=250 \\\\\\ 36x=252\implies x=\cfrac{252}{36}\implies x=7[/tex]

You use a technical support company for your computer. The company bills you at a rate of $10 per month and $35 per hour for phone support.
a. Identify the fixed cost (the constant).
b. Identify the independent variable (x).
c. Identify the dependent variable (y).
d. Write an equation that describes the situation above.
e. If you were billed $97.50 for last month, how many hours of phone support did you need? Show all work.

Answers

Answer:fixed cost=10

Independent variable=months paid

Dependent=hours on support

month=x,h=hour,10x+35h=total cost

97.50=10+35h

87.50=35h

h=2.5 hours

Step-by-step explanation:

showed work

Consider the sequence of steps to solve the equation:
5(x - 3) = 7x/2

Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10

Identify the property of equality which yields Step 5.

A. Division Property
B. Addition Property
C. Subtraction Property
D. Multiplication Property

Answers

A. Division Property
explanation:
The answer is : A.division property

Hope this helps!!

Personal Finance
Which of these is an economic good?
a motel room
camping in a cave
fresh air
water from a spring

Answers

Answer:

Fresh air

Step-by-step explanation:

its not that i want to kill her is just i dont want her to be alive :)

Answers

Answer: Such a feeling sure is conflicting. You don't want her alife but dead but at the same time you don't want to be the one committing the murder. My sympathies.

HELP ME ASAP HELP ME ASAP HELP ME ASAP

Answers

Answer:

First, plot the y-intercept. The y-intercept is 1, so plot the point (0,1).

Then go up 2 points and to the right 3 points and plot a point there. (3,3)

We go to the right because the slope is positive.

Draw a line through the two points.

Step-by-step explanation:

y = mx+b

m = slope

b = y-intercept

which is 9% written as a decimal A) 0.009 B) 0.09 C) 0.9 D) 9.0 E) 90.0

Answers

Answer:

B.

Step-by-step explanation:

I used the percent button on my calculator. :)

Hope this helps

What is the value of x in3 √ x 9?

Answers

In the given equation x = 9 is the value that satisfies the equation.

What are Square root?

The square root of a number is a value that, when multiplied by itself, equals the original number. For example, the square root of 9 is 3, because [tex]3*3 = 9[/tex]. The symbol for square root is "√" and it can also be represented as "sqrt".

In the given equation [tex]x = 9[/tex] is the value that satisfies the equation.

To find the value of x in the equation [tex]3 \sqrt{x} = 9[/tex], we first need to square both sides of the equation to eliminate the square root.

[tex]3 \sqrt{x} = 9[/tex]

Squaring both sides:

[tex](3 \sqrt{x} )^2 = 9^2[/tex]

[tex]x = 9^2 / 3^2 = 9^2 / 9 = 9[/tex]

Therefore, x = 9 is the value that satisfies the equation.

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18 different rides. cost 1.75 the function c(R)=1.75

Answers

Answer:

Step-by-step explanation:

Domain= [0,18], Range = [0,31.50]

If Charlie will only go to a single ride one time the possible rides he could go on would be 0 rides to all 18 rides for a domain of [0,18]. The output of the maximum and minimum x values would give us 0 dollars for riding 0 rides and 31.50 for riding all 18 (1.75 *0 = 0) and (1.75*18 = 31.50) so the range is [0, 31.50]

Could someone pls help me solve this ive been struggling for the past hour.no calculator allowed but im allowed a trigonometric circle.thx

Answers

The numeric value for each trigonometric expression is given as follows:

3. [tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \frac{5}{4}[/tex]

4. [tex]\frac{\sin{\left(\frac{\pi}{4}\right)}}{\cos^2{\left(\frac{\pi}{3}\right)}} = 2\sqrt{2}[/tex]

How to obtain the numeric value for the trigonometric expressions?

The first trigonometric expression for this problem is defined as follows:

[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)}[/tex]

The numeric value of each term of the expression is given as follows, using equivalent angles on the trigonometric circle:

[tex]\sin{\left(-\frac{5\pi}{6}\right)} = \sin{\left(2\pi - \frac{5\pi}{6}\right)} = \sin{\left(\frac{7\pi}{6}\right)} = -\sin{\left(\frac{\pi}{6}\right)} = -\frac{1}{2}[/tex] (negative to positive, then find equivalent of the third quadrant angle on the first).[tex]\cos{\left(\frac{2\pi}{3}\right)} = -\cos{\left(\pi - \frac{2\pi}{3}\right)} = -\cos{\left(\frac{\pi}{3}\right)} = -\frac{1}{2}[/tex] (cosine on the second quadrant is negative).[tex]\cos{(-\pi)} = \cos{(\pi)} = -1[/tex] (cosine is an even function).

Hence:

[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \left(-\frac{1}{2}\right)^2 + 1 = \frac{1}[4} + 1 = \frac{5}{4}[/tex]

For item 4, the angles are on the first quadrant, hence:

[tex]\sin{\left(\frac{\pi}{4}\right)} = \frac{\sqrt{2}}{2}[/tex][tex]\cos{\left(\frac{\pi}{3}\right) = \frac{1}{2}[/tex]

Hence the numeric value of the expression is given as follows:

[tex]\frac{\frac{\sqrt{2}}{2}}{\left(\frac{1}{2}\right)^2} = 4 \times \frac{\sqrt{2}}{2} = 2\sqrt{2}[/tex]

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Identify the inverse function of f(x)=√x - 2 + 3.
A) f-¹(x) = (x + 2)² - 3
B) f-1(x) = (x - 3)² + 2
C) f-¹(x) = √x + 2 - 3
D) ƒ-1(x) = √x + 3 − 2
Questi

Answers

The inverse of the function f(x) =√x - 2 + 3 is (x - 3)² + 2 so, option B is correct.

What is the function?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Given:

f(x)=√x - 2 + 3.

The inverse function can be found as shown below,

f⁻(x) = √(y - 2) + 3  (Replace x by y)

x = √(y - 2) + 3

solve the equation as shown below,

x - 3 = √(y - 2)

Squaring both sides,

(x - 3)² = [√(y - 2)]²

x² + 9 - 6x = y - 2

x² + 9 - 6x + 2 = y

y = x² - 6x + 11 or y = (x - 3)² + 2

Thus, the inverse of the function is  (x - 3)² + 2.

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Pls help I need it now!!

Answers

Answer:

42

Step-by-step explanation:

What is meant by halting problem?

Answers

Therefore , the solution of the given problem of tractable problem comes out to be halting problem claims that no computer can be created that can anticipated.

Describe a tractable problem.

an algorithm that takes a polynomial amount of time to solve a tractable issue. The upper bound is described by a polynomial. Any issue that cannot be addressed in a polynomial period of time is considered to be intractable. The lowest limit is exponential.

Here,

The halting problem claims that no computer can be created that can anticipated.

the likelihood that any other program will halt after a certain number of steps, making it an unsolved algorithmic challenge.

Software development is directly affected in practice by the stopping problem's insoluble nature.

Therefore , the solution of the given problem of tractable problem comes out to be halting problem claims that no computer can be created that can anticipated.

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help me plssss it’s due tonight

Answers

Answer:

Answer choice A

Step-by-step explanation:

This is the midpoint of both coordinates.

help me please i need short answer :)​

Answers

Answer:

they are on opposite sides whick makes them in the opposite

Does anyone know how to solve this?

Answers

Answer:

the answer for first question is $112.

the answer for second question is 16 trips.

Step-by-step explanation:

Hope it helps you!!

Step-by-step explanation:

a) 224-14(8)=224-112=112dollars

b) 112 divided by 14=8trips

find the measure indicated in each parallelogram

Answers

Answer:

Step-by-step explanation:

WX≅VY

VY = 7

CD≅BE

BE = 13

Find A in degrees. Round to the nearest tenth.
a=7
b=4
c=8

A=[?]°​

Answers

Answer:

61 degrees.

Step-by-step explanation:

Use the law of cosine.

In this case, the law of cosine is:

7^2=4^2+8^2-2(4)(8)cos a

Meaning:

7^2-4^2-8^2/-2(4)(8)=.434

Then do the inverse cosine of .434, and it will equal to 61.02

Round to the nearest tenth and you'll get A= 61 degrees.

Answer: 61 degrees

Step-by-step explanation:

7^2=4^2+8^2-2(4)(8)cos a

7^2-4^2-8^2/-2(4)(8)=.434

Then do the inverse cosine of .434, and it will equal to 61.02

Round to the nearest tenth and you'll get A= 61 degrees.

Simplify (s^-5)^3. Write your answer using only positive exponents.

Answers

The given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.

What is exponent?

Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -

[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

where -

[b] = base of the logarithm

[x] = exponent

Given is the expression as follows -

(s⁻⁵)³

We can write the expression as -

(s⁻⁵)³ = (1/s⁵)³ = (1/s¹⁵) = (1/s)¹⁵

Therefore, the given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.

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A landscaper is raising the price she charges to mow a lawn by 20%. She used to charge
$30 to mow a lawn.

Part A
What is her new rate?
Answer $ _____ per lawn

Part B
Suppose the landscaper lowers her new rate by 20%. What is her rate now?
Answer $ _____ per lawn

Answers

Answer:

Rate when price rises 20% = $36

Rate when price downs 20% = $24

Step-by-step explanation:

Given:

Current rate to mow = $30 per lawn

Find:

Rate when price rises 20%

Rate when price downs 20%

Computation:

Rate when price rises 20%

Rate when price rises 20% = Current rate to mow + 20%[Current rate to mow]

Rate when price rises 20% = 30 + 20%[30]

Rate when price rises 20% = 30 + 6

Rate when price rises 20% = $36

Rate when price downs 20% = Current rate to mow - 20%[Current rate to mow]

Rate when price downs 20% = 30 - 20%[30]

Rate when price downs 20% = 30 - 6

Rate when price downs 20% = $24

Why are fossil fuels considered nonrenewable resources?

A.
They create pollution and people have to clean it up.

B.
They are found underground and must be processed.

C.
They cannot be found in nature and have to be made.

D.
They cannot be replaced as fast as they are being used.

Answers

Answer:

D They cannot be replaced as fast as they are being used

The two lines below intersect as shown What is the value of x?
line one (2r + 29)
line two (9x-13)​

Answers

Answer:

x = 6

Step-by-step explanation:

because we know the lines intersect we also know the 2 angles are vertical meaning they are equal to each other

Knowing the angles are equal to each other you can make the equation

2x + 29 = 9x - 13

then you solve for x in this equation

2x + 29 = 9x - 13

(subtract 2x from both sides)

29 = 7x - 13

(add 13 to both sides)

42 = 7x

(divide by 7 on both sides)

6 = x

x = 6

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