Question 9 (5 points)
Moe has been offered two different summer jobs. Job A would pay him an hourly rate of $12. Job B would pay him $510 for a 40-hour work week. Which job has a higher rate of pay? There isn't enough information to determine which job has a higher rate of pay.
Job B
Job A and Job B have equal rates of pay.
Job A

Answers

Answer 1
Job B, because you divide the total pay (510) and the hours (40), so 510/40= 12.75
Answer 2

Answer:

$12.75

Step-by-step explanation:

Moe has been offered two different summer jobs. Job A would pay him an hourly rate of $12. Job B would pay him $510 for a 40-hour work week. First, you have to set up the problem like this:

$510/40 hr = ?/1 hr

The next step is to either cross multiply or you can divide the numerator and denominator by the denominator number because 40/1 is still going to be 40. That means, $510/40= what number?

Answer: $12.75 per 1 hour


Related Questions

Find the area of the figure. Use 3.14 for y, and round your answer to the nearest tenth.
Rectangle capped by a right triangle on one end and a semicircle on the other
6 yd
4 yd
9 yd
a 42.6 sq. yd
b. 36.3 sq yd
42.3 sq. yd
d. None of these
Please select the best answer from the choices provided
OA

Answers

pls give me brainliest :)

Answer:

B.) 36.3 sq. yd

Step-by-step explanation:

To find the area of a rectangle is l x w (length multiplied by width) The length of the rectangle is 6 yards and the width is 4.

6 x 4= 24

Now you need to find the area of a triangle. To find the bottom or base of the triangle you must subtract 6 from 9. (6 being the top of the rectangle and 9 being the base.) which should give you 3. Now that we have the base of the triangle we can find the area of the triangle using the formula which is b x h/ 2 (base multiplied by height divided by 2) b= 3 and h= 4. 3 x 4= 12 divided by 2  equals 6.

Last we need to find the area of the half circle, based off the side of the rectangle we can say the diameter of the circle is 4. The radius is half of the diameter 4/2 = 2. The formula to find the area of a circle is A= πr^2

π(2^2) = 12.57 and because its a half circle we divide it by 2 which equals 6.285

Now we add all the areas of each shape so, 24+6+6.285 which equals 36.3

Answer = B.) 36.3

pls give me brainliest :)

What is the slope intercept of the equation of the line through the given point (0,3) and (-4,-1)

Answers

Answer:

y=x+3

Step-by-step explanation:

1.) Find slope

slope = (-1-3)/(-4-0)

= -4/-4

= 1

2.) Use point slope form

y-y1= m (x-x1)

both x1 and y1 are the points

m is the slope

3.) Plug in the numbers

for the points I chose (0,3) to plug in

y-3= 1 (x1-0)

y-3= x

y= x+3

Which of the ordered pairs is a solution to the system of inequalities? y > 5 y ≥ x (0, 0) (4, 5) (-5, 4) (-5, 6)

Answers

Plug the y value in for y and plug the x value in for x

> less than

> less than or equal to

Example:

(4,5)

y > 5y > x

5 > 5x5 > 4  =  5 > 25 > 4  =  false

they all should be false

if one had to be correct, I would say (0, 0)

Answer:

(0,0)

Step-by-step explanation:

Use the graph below to answer the question. Select all of the zeroes of the function f(x)

Answers

Answer:

C.

Step-by-step explanation:

The zeros of the function is or are your x-intercepts. The x-intercept is (2,0), so it is x=2.

PLEASE HELPPP >>>>> There are twenty classes at Northwestern Middle School and twenty classes at Southeastern Middle School. The number of students in each class at each school is shown in the dot plots below.

Number of Students in Each Class at Northeastern Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There are 3 dots above 20, 5 above 21, 7 above 22, 4 above 23, 1 above 24, and 0 above 25, 26, 27, 28, and 29.

Number of Students in Each Class at Southeastern Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There is 1 dot above 20, 2 above 21, 2 above 22, 4 above 23, 3 above 24, 2 above 25, 2 above 26, 2 above 27, 1 above 28, and 1 above 29.

Michela says that the modes of the two data are the same so the median and mean must also be the same. What is Michela’s error?

A. The modes are not the same.
B. The means and medians are not the same.
C. Only the modes and the medians are the same.
D. Only the modes and the means are the same.

Answers

The answer to your question is a; In the northeastern school, the mode is 22 but in the southeastern school, the mode is 23

Answer:

the answer above is incorrect im sorry i dont know the answer i wish i could help more god bless have a wonderful day

Step-by-step explanation:

The amount of money that Li spends on a video game depends on how many game he purchases. if Li has at most $90 to spend on games for his Xbox 360 and the games cost $22.50 each, what is the domain of this function?

_______________________

Answers

Answer:

Hence Domain set for function is {0,1,2,3,4}

Step-by-step explanation:

Given:

Total amount spend =90

22.5 $ each game cost

To Find:

What is domain for the function

Solution:

Now domain mean all possible value for input so that it gives real output as per condition mentioned

So Our condition is that li spends money on video game depends on how many game he purchases

so  total money  spent on game is output

i.e in order to get that much amount of games.

If he spends 22.5 $ for each game and Total amount spent is 90

So 90/22.5=4 Now amount of game he would purchase will be 4

i.e range for lil is 0 to 4 wiht 90 $ in hand

So Domain set will be ranging from{0,1,2,3,4}

Which is the equation of a line with a slope of -1/3 and a yintercept at (0, 1)?

Answers

y = mx + b

m is -1/3

plug in your given values for x and y to find b

1 = (-1/3)(0) + b
1 = 0 + b
b = 1

make equation
y= (-1/3)x + 1

Select the statement that can be represented by −10 dollars.

A) Joe found $10 on the sidewalk.
B) Sally withdrew $10 from her checking account.
C) Kyle earned $10 mowing his neighbors yard.
D) Janet deposited $10 into her savings account.

Answers

Answer:

B

Step-by-step explanation:

Answer:

B) Sally withdrew $10 from her checking account

Step-by-step explanation:

A, C, and D all describe someone gaining money, therefore they would be positive. B is the only option showing money being taken away, which is why it is -10.

Math math help very urgent please Q5 and Q6

Answers

Answer: 10

Step-by-step explanation:

Answer: the answer is 10

Need help ASAP- Due tonight

Answers

Answer:

10 ^(R-15)/3   -2=  a

Step-by-step explanation:

R = 3 log (a+2) +15

Subtract 15 from each side

R-15 = 3 log (a+2) +15-15

R-15 = 3 log (a+2)

Divide each side by 3

(R-15)/3 = 3/3 log (a+2)

(R-15)/3 =  log (a+2)

The opposite of log is to raise each side to the power of 10

10 ^(R-15)/3 = 10 ^ log (a+2)

10 ^(R-15)/3 =  (a+2)

Subtract 2 from each side

10 ^(R-15)/3   -2=  (a+2-2)

10 ^(R-15)/3   -2=  a

Answer:

10 ^(R-15)/3   -2=  a

Step-by-step explanation:

i answered this on edge

i need the answer asap

Answers

Given:

[tex]\angle A=5 x-18^{\circ}[/tex]

[tex]\angle B=3 x+42^{\circ}[/tex]

To find:

The value of x and measure of angle A

Solution:

Alternate interior angle theorem:

If two parallel lines cut by a transversal, then the alternate interior angles are congruent.

⇒ m∠A = m∠B

[tex]5x-18^\circ=3x+42^\circ[/tex]

Add 18° on both sides.

[tex]5x-18^\circ+18^\circ=3x+42^\circ+18^\circ[/tex]

[tex]5x=3x+60^\circ[/tex]

Subtract 3x from both sides.

[tex]5x-3x=3x+60^\circ-3x[/tex]

[tex]2x=60^\circ[/tex]

Divide by 2 on both sides.

x = 30°

Substitute x = 30° in ∠A.

m∠A = 5x - 18°

       = 5(30°) - 18°

       = 150° - 18°

       = 132°

The measure of ∠A is 132°.

1/3d=45 it is a equation math problem

Answers

Answer:

d = 135

Step-by-step explanation:

OK. Let's start by setting up the equation:

1/3d = 45

Now we multiply each side by 3 to get rid of the fraction:

d = 135.

Check:

135 divided by 3 is what we will solve next:

That equals 45.

Thus, d = 135 is correct.

Answer: 135

Step-by-step explanation:

1/3d=45

It can still be writing as

D/3=45

Cross multiply

D=45×3

D=135

Leona saved $102.50 to buy a computer that is on sale. How much more money does she need to save before she can buy the computer?

Answers

1.Total cost of the computer: Let's represent the original price as $x. After an 80% sale, it's 0.8× x.

2. Amount Leona saved: $102.50.

3. Remaining amount needed: Total cost - Amount saved = 0.8 × x - $102.50.

So, Leona needs $102.50 more to afford the computer after her savings.

let's break it down step by step:

1. Find the total cost of the computer: Let's say the original price of the computer is $x, and it's currently on sale. Since Leona saved $102.50, this means the amount she has saved is a part of the total cost of the computer.

2.Calculate the remaining amount needed: We subtract the amount Leona saved from the total cost of the computer to find out how much more money she needs to save.

So, let's go through these steps:

1. Total cost of the computer: Let's represent the original price of the computer as $x. Since the computer is on sale, let's say it's now priced at 80% of its original price.

  So, the total cost of the computer after the sale = 0.8 ×x.

2. Amount Leona saved = $102.50.

3. Remaining amount needed = Total cost of the computer - Amount Leona saved.

Let's perform the calculation

Total cost of the computer = 0.8 × x

Amount Leona saved = $102.50

Remaining amount needed = Total cost of the computer - Amount Leona          = 0.8 × x - $102.50

So, Leona needs to save $102.50 more to buy the computer.

if 8 people share a half pound of pasta how much would each get​

Answers

Answer: 1/16

Do Keep Change Flip (KCF)

Keep: 1/2

Change: ÷ into ×

Flip: 8/1 into 1/8

Your New Problem Should Be: 1/2×1/8

Multiply

1/2 × 1/8 = 1/16

The amount of pasta each would get is 1/16

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Do Keep Change Flip (KCF)

Keep: 1/2

Change: ÷ into ×

Flip:

8/1 into 1/8

= 1/2×1/8

Multiply,

1/2 × 1/8 = 1/16

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Joanne buys a rectangular rug with an area of 35/4 square meters. The length of the rug is 7/2 meters. What is the with, in meters, of the rug? Answer in fraction pls!!

Answers

Answer: 5/2 meters

Step-by-step explanation:

You can find the area of a rectangle using this equation:

A = bh, where b is the base (length) and h is the height.

So, your rectangle is:

[tex]\frac{35}{4} = \frac{7}{2}h[/tex]

You can then divide both sides by 7/2 to find h.

[tex]\frac{\frac{35}{4}}{\frac{7}{2}}[/tex]

To divide, you can flip the fraction in the denominator to multiply:

[tex]\frac{35}{4}*\frac{2}{7}[/tex]

So, your width is 70/28. You can divide both sides by 14 to get 5/2.

A race begins with 2 1/2 miles through town, continues through the park for 2 1/3 miles, and finishes at the track after the last 1/6 mile. A volunteer is stationed every quarter mile and at the finish line to pass out cups of water and cheer on the runners. How many volunteers are needed?

Answers

20 volunteers. Add up all the distances, then divide by 0.25 (one quarter)

The deli made a 6 foot hero for the party. They need to cut it into 1 /3 inch slices. How many slices
will they get?

Answers

Answer:

6 ft = 72 inches

72*1/3=24

24

They will get 24 slices if they cut the 6 foot hero into 1/3 inch slices.

What is a fraction?

A fraction is a numerical figure that represents a portion of a total.

Total length of the hero = 6 foot

1 foot = 12 inches

Total length of hero = 72 inches

Length of the slice cut = 1/3 inch

Total no. of slices = (1/3 * 72) = 24 slices

Hence the total no. of slices they will get is 24.

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Graph the function y =13 6x

Answers

This is the graph but would u like an explanation?

Answer:

the graph that's got long lines in the top right and bottom left


Ase the points (-1,1) and (1, -1) on the graph of y = 2x -3

Answers

Step-by-step explanation:

[tex]y = 2x - 3 \\ plug \: x = - 1 \\ y = 2( - 1) - 3 = - 2 - 3 = - 5 \neq1 \\ hence \: ( - 1, \: 1) \: does \: not \: lie \: on \: the \: \\ graph \: of \: y = 2x - 3. \\ \\ y = 2x - 3 \\ plug \: x = 1 \\ y = 2 \times 1- 3 = 2 - 3 = - 1 \\ hence \: ( - 1, \: 1) \: lie \: on \: the \: graph \: of \: \\ y = 2x - 3. \\ \\ [/tex]

2x + 5
Find the val
3x+15

Answers

Answer:

Step 1:  Find the x

2x + 5:  Solve

[tex]2x + 5 - 5 = 0 - 5[/tex]

[tex]2x / 2 = -5 / 2[/tex]

[tex]x = -5/2[/tex]

3x + 15:  Solve

[tex]3x + 15 - 15 = 0 - 15[/tex]

[tex]3x / 3 = -15 / 3[/tex]

[tex]x = -5[/tex]

16,000 feet = how many miles and how many feet

Answers

Answer:

3.03 miles 160 feet

Step-by-step explanation:

Answer:

3 miles and 3 feetish

Ángel won 84% of the skating competitions he entered last years. if Ángel entered 250 competitions ,how many did he win?​

Answers

Answer:

210

Step-by-step explanation:

multipy the percent of the won skating competitions by the total amout of competions to get the result of how mant he won. 84% x 250 competitions= 210 competitions won!

It’s 210, 250 x .84 =210

madison has a budget of $1,483 to spend this month. If she wants to split her money evenly over 4 weeks, how much can she spend each week

Answers

Answer:

370.75

Step-by-step explanation:

all you need to do is divide the original amount by 4

Final answer:

Madison can spend $370.75 each week if she divides her $1,483 monthly budget evenly over 4 weeks.

Explanation:

To find out how much Madison can spend each week, we divide her total monthly budget by the number of weeks in a month. Madison has a budget of $1,483 to spend this month. Since she wants to split her money evenly over 4 weeks, we perform the following calculation:

Total monthly budget: $1,483

Number of weeks in a month: 4

We divide the total budget by the number of weeks to find the weekly budget:

Weekly budget = Total monthly budget ÷ Number of weeks

Weekly budget = $1,483 ÷ 4

Weekly budget = $370.75

Therefore, Madison can spend $370.75 each week.

The area of a rectangular rug is given by the trinomial r^2-4r-21. What are the possible dimensions of the rug?

Answers

Answer:

There are two possible values for r (area):  r =-7 or r=3

Step-by-step explanation:

Given the rectangular rug area is:

[tex]r^{2} -4r -21[/tex]  

We have to convert the above equation into factored form.

So two numbers whose product is -21r² and sum is -4r

<=> [tex]r^{2} -4r -21[/tex]  

= [tex]r^{2} -7r + 3r -21[/tex]

= r (r -7) + 3(r -7)

= (r-7)(r+3)

We set  [tex]r^{2} -4r -21[/tex]   = 0

<=> (r-7)(r+3) = 0

<=> (r-7) = 0 or (r+3)  = 0

<=> r =-7 or r=3

So, there are two possible values for r (area):  r =-7 or r=3

Final answer:

The possible dimensions of the rectangular rug with the given area trinomial r²-4r-21 are 7 by 3 or 3 by 7.

Explanation:

The possible dimensions of the rectangular rug with area given by the trinomial r²-4r-21 can be found by factoring the trinomial.

Factoring r²-4r-21 results in (r-7)(r+3). Therefore, the dimensions could be 7 by 3 or 3 by 7.

the highest point in argentina is 6960 meters above sea level. the lowest point is 105 meters below sea level. What is the difference in meters between the highest and lowest elevation points?

Answers

Answer:

Step-by-step explanation:

It will be 6855 because it’s telling you the difference of them so you subtract to see

The difference in meters between the highest and lowest elevation points 7065 meters.

What are integers?

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes:

Positive Numbers: A number is positive if it is greater than zero. Example: 1, 2, 3 . . .

Negative Numbers: A number is negative if it is less than zero. Example: -1, -2, -3 . . .

Zero is defined as neither a negative number nor a positive number. It is a whole number.

Z = {... -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, ...}

Given:

highest point= 6960 meters above sea level.

lowest point = 105 meters below sea level.

Considering integers

highest points= +6960

lowest point= -105

So, difference in meters between the highest and lowest elevation points

= 6960 - (-105)

=6960+ 105

= 7065 meters

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What is the volume of metal in the pipe? Use 3.14 for a and
round the answer to the nearest tenth of a cubic millimeter.
O 282.6 mm
O 271.3 mm
0553.9 mm
O 836.5 mm

Answers

I need another number for this problem to answer

Answer:271.3mm^3

Step-by-step explanation:

Takuya's parents gave him $100dollar as a birthday gift. Since he loves board games, he spent $20dollar out of his present on board games at the end of each month until his money ran out. Let f(n) be the amount of money that remained from Takuya's present during month n, where n=1 represents the month he received his present.
f is a sequence. What kind of sequence is it?
p.s" tell me if it is a geometric sequence or arithmetic and find the explicit formula

Answers

The amount of money that remained from Takuya's presence during month n is expressed as an=120-20n and the sequence is an arithmetic sequence.

What is an arithmetic sequence?

The arithmetic sequence is the sequence where the common difference remains constant between any two successive terms. Let us recall what is a sequence. A sequence is a collection of numbers that follow a pattern. The general form of an arithmetic sequence is an=a+(n-1)d.

If Takuya's parents gave him $100 as a birthday gift and she spent $20 each month on board games until his money ran out, this means he keeps spending $20 every month and his money keeps reducing by the same amount each month until his money ran out, the following can be inferred;

initial amount = $100

If he spends $20 each month,

Balance at the end of 1st month = $100-$20 = $80

Balance at the end of 2nd month = $80-$20 = $60

Balance at the end of  3rd month = $60-$20 = $40 and so on

Since the amount keeps reducing by the same value i.e $20, then the sequence formed is an arithmetic sequence.

a is the first term of the sequence = 100

d is the common difference = 80-100 = 60-80 = 40-60 = -20

n is the number of terms

Substituting the given values in the formula we have; an=100+(n-1)(-20)

⇒an=100+(-20n+20)

⇒an=100-20n+20

an=120-20n

Therefore, the amount of money that remained from Takuya's presence during month n is expressed as an=120-20n and the sequence is an arithmetic sequence.

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1) Option (A) arithmetic sequence.

2) The recursive formula is f(n) = f(n-1) - 20 with an initial condition of f(1) = 100.

3) The explicit formula is f(n) = 120 - 20n.

Let's address Takuya's birthday gift scenario step by step.

1. Type of Sequence

The sequence described is an arithmetic sequence because the same amount of money, $20, is spent each month, leading to a consistent decrease in the balance.

2. Recursive Formula

Initially, he had $100. So,

f(1) = 100

Given the monthly spending of $20, the recursive formula is: f(n) = f(n-1) - 20

3. Explicit Formula

To find the explicit formula of the arithmetic sequence, we use the initial value and the common difference:

f(n) = 100 - 20(n-1)

Simplifying gives us:

f(n) = 120 - 20n

Thus, the balance remaining after n months can be calculated using this explicit formula.

Complete question:

Takuya's parents gave him $100dollar as a birthday gift. Since he loves board games, he spent $ 20 dollars out of his present on board games at the end of each month until his money ran out. Let f(n) be the amount of money that remained from Takuya's present during month n, where n=1 represents the month he received his present.

1) f is a sequence. What kind of sequence is it?

Choose 1 answer:

A ) Arithmetic sequence

B) Geometric sequence

2) Complete the recursive formula for f(n).

f(1) = □

f(n) = □

3) Find the explicit formula.

3. Use an inequality symbol (<, >, 2, =) to compare -26_54
OOOO
O A.<
O B. =
O c.
O D.>

Answers

It would be A or < since 54 is positive and -26 isn't, that makes 54 greater than -26.

A sandwich shop offers two types of breads and 5 types of meat. How many sandwiches that are made of one type of bread and one type of meat are possible

Answers

If you use each type of meat with each type of bread you have 10 possibilities

please help PLEASE
Which equations are equal to this equation? 14(8x + 56) = 20

Answers

Answer:

x = - 191/28

Step-by-step explanation:

14 (8x + 56) = 20

112x + 784 = 20

112x = 20 - 784

112x = - 764

x = - 764/112

x = - 191/28

Answer:

Here are a few equivalent equations:

112x + 784 = 20

112x = -764

x = -6.82

Step-by-step explanation:

14(8x + 56) = 20

Multiply

112x + 784 = 20

Subtract 784 from both sides of the equation

112x = -764

x = -6.82

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Read this passage from "The Masque of the Red Death." What is the meaning of the phrase "pest ban"?PdThe "Red Death" had long devastated the country. No pestilence had ever been so fatal, or so hideous. Blood was itand the horror of blood. There were sharp pains, and sudden dizziness, and then profuse bleeding at the pores, withupon the body and especially upon the face of the victim, were the pest ban which shut him out from the aid and froAnd the whole seizure, progress and termination of the disease, were the incidents of half an hour.Sign of contaminationTerror of the unknownFatal illnessQuickness of death Describe the sources of marine debris and explain why it is a problem with global origins. what is the solution of the system equations y =-3x +8 y = -5x -2 Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.q= 5/5q = -5/5q=375q=-3/5q = 2575 The United States faces a number of challenges and issues in the twenty-first century. Which issue do you believe is the most serious domestic challenge, and which foreign affairs challenge is the most serious issue?Write two paragraphs 3-5 sentences each. Paragraph one should describe a domestic challenge or issue and explain why you believe it is the most serious. Paragraph two should describe a foreign affairs challenge or issue and explain why you believe it is the most serious. What evidence shows Antonios point of view? What can you infer from this evidence about Antonios possible reason for taking over Milan? he one-way ANOVA null hypothesis is rejected when the _________.Multiple Choiceratio of the within-treatments variance and the between-treatments variance is 1variability in the sample means can be explained by chanceratio of the within-treatments variance and the between-treatments variance is signficialy greater than 1two estimates of the variance are relatively close together Piecewise and Combining Functions What are diseases such as a strep throat and athletes foot caused by? Square ABCD has a side length of 4 inches. The square is dilated by a scale factor of 4 to form square A'B'C'D'. What is the side length of square A'B'C'D' ? Type a number for your answer. Consider a spring mass system (mass m1, spring constant k) with period T1. Now consider a spring mass system with the same spring but a different mass (mass m2, spring constant k) but the period is twice as long. Compare m2 to m1 (calculate the ratio m2/m1) what did darwin conclude about the finches of the galapagos islands that later supported his theory of evolution Flashd all their sabres bare,Flashd as they turnd in air Sabring the gunners there, Charging an army, while All the world wonderd.Plunged in the battery-smokeRight thro the line they broke;Cossack and RussianReeld from the sabre-stroke Shatterd and sunderd.Then they rode back, but not Not the six hundred.Which three words create rhyme in the passage?barewhileRussianairbroke g(r) = r^2 6r 551) What are the zeros of the function? Joan deposited $550 into her savings account for two years. She received 1.8% simpleinterest on her money. How much money did she have at the end of the two year term? A psychological study found that men who were distance runners lived, on average, five years longer than those who were not distance runners. The study was conducted using a random sample of 50 men who were distance runners and an independent random sample of 30 men who were not distance runners. The men who were distance runners lived to be 84.2 years old, on average, with a standard deviation of 10.2 years. The men who were not distance runners lived to be 79.2 years old, on average, with a standard deviation of 6.8 years. Which of the following is the test statistic for the appropriate test to determine if men who are distance runners live significantly longer, on average, than men who are not distance runners? What is the pressure in mm of Hg , of a gas mixture that contains 1g of H2, and 8.0 g of Ar in a 3.0 L container at 27C. Prove that in the plane the perpendicular bisector of a chord in a circle contains the center of the circle Research at the University of Toledo indicates that 50 percent ofthe students change their major area of study after their firstyear in a program. A random sample of 100 students in the Collegeof Business revealed that 48 had changed their major area of studyafter their first year of the program.Has there been a significant decrease in the proportion of studentswho change their major after the first year in this program? Testat the .05 level of significance.(a) What is the decisionrule? (Round youranswer to 3 decimal places.)(b) The value ofthe test statistic is . (Roundyour answer to 2 decimal places.)(c) What is yourdecision regarding ? What is an example of a voucher?