Suppose a student just found out that she scored a 75 on her first statistics​ exam, with a​ z-score of 0.5. Her​ friend, who is in a different section with the same​ professor, also scored a 75 but had a​ z-score of −0.5. What can you conclude about the mean exam scores in the two​ classes?

Answers

Answer 1

Answer:

The mean exam scores in the second section is greater than the mean exam scores in the first section

Step-by-step explanation:

Here, we are interested in making a conclusion.

Mathematically;

z-score = (score - mean)/SD

so basically, what determines the sign of the z-score is dependent entirely on the mean.

If the mean is larger than the score, we will have a negative z-score. If the mean is smaller than the score, then will have a positive z-score

So basically what drives the sign is the mean value since the scores are the same for both students in this case, irrespective of the standard deviation in both classes.

So, for the first girl with a positive z-score, we can conclude that her score is larger than the mean; while for the second girl with a negative z-score, her score is smaller to the mean.

Thus, what we conclude here is that the mean score of the second section with the professor is greater than the mean score of the first section with the professor.


Related Questions

Your friend says the solution to the inequality 6X -12X is greater than or equal to -18 are x greater than or equal to 3. Solve the inequality correctly. What air did your friend make?

Answers

He forgot to switch the sign to less than or equal to after he divided -18 by -6 because when you divide by negatives, you flip the sign. The correct answer is x is less than or equal to 3

Which y values are represented on the graph below?

Answers

..........................

sin3A/sinA-Cos3A/CosA=2​

Answers

Answer:

sin3A/sinA-Cos3A/CosA=2​

taking LCM

= Sin3A.CosA - Cos3A. SinA

     SinA . CosA

= Sin(3A-A)

  SinA . CosA

=  Sin2A          

   SinA . CosA

= 2 SinA. CosA

    SinA . CosA

=2

Step-by-step explanation:

357,335 rounded to the nearest ten357,335 rounded to the nearest ten

Answers

Answer:

357,340

Step-by-step explanation:

Locate the tens place:

357,335

Check the number to the right:

357,335

If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.

The number next to the tens place is a '5'. We round up.

357,335 ≈ 357,340

Hope this helps.

Answer:

357340

Step-by-step explanation:

Before each class, I either drink a cup of coffee, a cup of tea, or a cup of water. The probability of coffee is 0.7, the probability of tea is 0.2, and the probability of water is 0.1. If I drink coffee, the probability that the lecture ends early is 0.3. If I drink tea, the probability that the lecture ends early is 0.2. If I drink water, the lecture never ends early. 1) What’s the probability that I drink tea and finish the lecture early? 2) What’s the probability that I finish the lecture early? 3) Given the lecture finishes early, what’s the probability I drank coffee?

Answers

Answer:

1. Probability of drinking tea and finishing the lecture early = 0.2 * 0.2 = 0.04 or 4%

2. Probability of finishing the lecture early = 50% (0.3 + 0.2).

3. Probability of drinking coffee = 0.21 or 21% (0.7 * 0.3)

Step-by-step explanation:

a) Data and Calculations:

            Probability   Early Ending    Expected Probability

Coffee     0.7               0.3                     0.21

Tea          0.2               0.2                    0.04

Water      0.1                

b) The probability of drinking coffee, tea, or water is the chance that the lecturer drinks either coffee or tea or water.  The combined probability of the three actions is always 1.  The expected probability is the weighing of the probabilities with another event, ending the lecture early.  This is obtained by multiplying their respective probabilities.

51988 rounded to the nearest ten thousand

Answers

Answer:

Your answer would be 52,000

The Booster Club has a goal of raising at least $300. The Club has already raised $175. The Booster Club is
sponsoring a pancake breakfast and charging $3.00 per ticket.
What inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal?

Answers

Answer:

 

You have got

to start thinking bee, my friend.

 

- Thinking bee!

- Me?

 

Hold it. Let's just stop

for a second. Hold it.

 

I'm sorry. I'm sorry, everyone.

Oan we stop here?

 

I'm not making a major life decision

during a production number!

 

All right. Take ten, everybody.

Wrap it up, guys.

 

Step-by-step explanation:

 

You have got

to start thinking bee, my friend.

 

- Thinking bee!

- Me?

 

Hold it. Let's just stop

for a second. Hold it.

 

I'm sorry. I'm sorry, everyone.

Oan we stop here?

 

I'm not making a major life decision

during a production number!

 

All right. Take ten, everybody.

Wrap it up, guys.

 

175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that The Booster Club has a goal of raising at least $300.

The Club has already raised $175

The Booster Club is sponsoring a pancake breakfast and charging $3.00 per ticket.

175+3t≥300

One hundred seventy five plus three times t greater than or equal to three hundred.

We have used greater than or equal to in inequality because in data given atleast.

Hence, 175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal

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Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1

How can right triangles be similar based on their angles?

Answers

Answer:

a right triangle has at lease on 90 degree angle

Step-by-step explanation:

Answer:

By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.

Step-by-step explanation:

i got 100% on edg. hope this helps!

Savannah's balance in her checking account was –$638.57. She deposited two checks, each in the amount of $298.40. What is Savannah’s new checking account balance after the deposits?

Answers

$-41.77 you’re welcome

Please help would be very very appreciated

Answers

115 ounces is the answer

Answer:

115

Step-by-step explanation:

I hoped I help friend◇

You have budgeted $3,200 per month for your total expenses. The cost of rent per month is $1,300 and the cost of food is $350. To stay within your budget, all other costs C must be no more than what amount (in $)?

Answers

Answer:

All other costs must be $1,550 or less

Step-by-step explanation:

1300+350=1650

3200-1650=1550

Using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.

What exactly are mathematical operations?An operation is a mathematical function that transforms zero or more discrete input values into discrete output values. The complexity of the operation depends on how many operands there are. The rules that specify the order in which specific operations should be carried out in order to solve an expression are referred to as the order of operations. Parentheses, exponents, multiplication, division (from left to right), addition, and subtraction are the order of operations. (Left to Right) PEMDAS (from left to right).

So, cost C must be no more than:

The budget is $3200.The cost of rent and food is $1300 and $350.

Then, the remaining money will be:

3200 - (1300 + 350)3200 - 1,650$1,550

Therefore, using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.

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For Jack's lemonade recipe, 12 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?

Answers

2/3 lemons to cup ratio

A box is 21 centimeters tall. How tall would the box measure in meters?

Answers

Answer:

0.21

Step-by-step explanation:

divide the length value by 100  21 centimeters in meters is 0.21

Answer:

0.21 its the k12 test.

Step-by-step explanation:


Help ASAP pllllllllllsssssssssssssssssss

Answers

Answer:

15

Step-by-step explanation:

multiply the 6 by 3 and get 18, so do the same for the top, so 5 x3 = 15

On the map, the school and the sports park are 12 centimeters apart.

What is the actual distance between the school and the park?

Answers

Answer:

15 km

Step-by-step explanation:

On the map, the school and the sports park are 12 centimeters apart.

scale 4cm : 5km

find;

What is the actual distance between the school and the park?

solution:

        12 cm     =   4 cm                  

          X km            5 km

cross multiply:

4 cm X km = 12 cm (5 km)

X =  12 cm (5 km)

             4 cm

X = 15 km

therefore, the distance between the school and the sports park is 15 km

Clear selection
2 points
3. Stephanie can run one lap around a track in 5 minutes. Lisa can run one
lap in 6 minutes. If they start running at the same time, how long will it be
until they complete a lap together?
11
30
12
6

Answers

Answer: If they start running at the same time, then it will take 30 minutes until they complete a lap together.

Step-by-step explanation:

Given:  Stephanie can run one lap around a track in 5 minutes. Lisa can run one  lap in 6 minutes.

If they start running at the same time, then the time they will take to complete a lap together = LCM (5,6)

prime factorization: 5=5   , 6 =2 x 3

So, LCM(5,6) = 5 x 2  x 3 = 30

Hence, it will take 30 minutes until they complete a lap together.

F=kr Solve for k I'm lost please help

Answers

Answer:

F /r = k

Step-by-step explanation:

F=kr

Divide each side by r

F/r=kr/r

F /r = k

Wich is equivalent to 12(3 2/3)!?

Answers

Answer:

1/5 = 2/10 = 3/15 = 4/20

= 5/25 = 6/30 = 7/35 = 8/40

= 9/45 = 10/50 = 11/55 = 12/60

= 13/65 = 14/70 = 15/75 = 16/80

= 17/85 = 18/90 = 19/95 = 20/100

= 21/105 = 22/110 = 23/115 = 24/120

= 25/125 = 26/130 = 27/135 = 28/140

= 29/145 = 30/150 = 31/155 = 32/160

= 33/165 = 34/170 = 35/175 = 36/180

= 37/185 = 38/190 = 39/195 = 40/200

= 41/205 = 42/210 = 43/215 = 44/220

= 45/225 = 46/230 = 47/235 = 48/240

= 49/245 = 50/250 = 51/255 = 52/260

= 53/265 = 54/270 = 55/275 = 56/280

= 57/285 = 58/290 = 59/295 = 60/300

= 61/305 = 62/310 = 63/315 = 64/320

= 65/325 = 66/330 = 67/335 = 68/340

= 69/345 = 70/350 = 71/355 = 72/360

= 73/365 = 74/370 = 75/375 = 76/380

= 77/385 = 78/390 = 79/395 = 80/400

= 81/405 = 82/410 = 83/415 = 84/420

= 85/425 = 86/430 = 87/435 = 88/440

= 89/445 = 90/450 = 91/455 = 92/460

= 93/465 = 94/470 = 95/475 = 96/480

= 97/485 = 98/490 = 99/495 = 100/500

Step-by-step explanation:

all of these are equivalent

Answer: 36/11  Or 3 3/11

Step-by-step explanation:

solve for x 4 - (x + 2) < -3(x + 4)

Answers

in 4 - (x + 2) < -3(x + 4), x < -7

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x<-7

Step-by-step explanation:

Use inverse operations to solve

4 - ( x + 2 ) < -3 ( x+ 4)

first distribute the (-) sign and the (-3)

4 -x -2 < -3x -12

simplify

2 -x < -3x -12

simplify again, with inverse operations

2 -x < -3x -12

+3x    +3x

2 + 2x < -12

-2           -2

2x < -14

/2       /2

x<-7

Which equation show the relationship in the table?

Answers

Answer:

hours = 5 x dollars

Step-by-step explanation:

Because, for every hour you earn 5 dollars.

Hours =5 help this hope

y = 4x - 5.
Graph the math problem

Answers

Answer:

so first put a dot on -5 on the y axis then go up 4 and to the right 1 and put a second dot and connect them

If a2 = 5 and a8 = 35, what is the value of a30?

Answers

Answer:

a(30) = 145

Step-by-step explanation:

a(n) = a(1) + (n-1)d

d = 5

a(30) = 0 + (30-1)5

a(30) = 0 + (29)5

a(30) = 0 + 145

a(30) = 145

Using the concept of arithmetic sequence, the value of a30, which is the 30th term of the sequence is 145

The common difference, d = 35 / 7 = 5

The nth term of an arithmetic sequence is obtained using the relation :

A(n) = a1 + (n - 1)d

a1 = first term

a1 = a2 - d = 5 - 5 = 0

Hence,

A(30) = 0 + (30 - 1)5

A(30) = 0 + 29(5)

A(30) = 145

Therefore, the value of the 30th term of the sequence is 145.

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Write the​ point-slope form of the​ line's equation satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation.
Slope​,=4 passing through ​(​7,​5)
What is the​ point-slope form of the equation of the​ line?
?

Answers

Answer:

Step-by-step explanation:

y - 5 = 4(x - 7)

y - 5 = 4x - 28

y = 4x - 23

Choose whether the sum is positive, negative,
or zero.
-3 + 3 is

Answers

The answer is zero

-n+n=0 Always

= 0
Explanation :
The sum of any integer and its opposite is equal to zero.

The telephone company offers two billing plans for local calls. Plan 1 charges ​$32 per month for unlimited calls and Plan 2 charges ​$17 per month plus ​$0.04 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.

Answers

Step-by-step explanation:

Answer in image below press on it

Write each number as a product of primes 1. 120 2. 160

Answers

Answer:

120=2*2*2*3*5

160=2*2*2*2*2*5

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

1.   120 = 12  * 10

= 2*2*3*2*5

= 2*2*2*3*5

2.  160 = 10 * 16

= 2*5*2*2*2*2

= 2*2*2*2*2*5

Find the difference of -4 -(5)

Answers

You answer I think is is -9

4. How did railroads change where people lived?
The railroads changed people life

Answers

Answer:

It made commerce possible on a vast scale. In addition to transporting western food crops and raw materials to East Coast markets and manufactured goods from East Coast cities to the West Coast.

Step-by-step explanation:

Answer:

There are multiple reasons, it made it easier to get new places to live instead of in a wagon or by foot. (in case there is more to the question) helped people and stuff needing to be transported get there quicker and easier. Building the railroads gave people jobs who need it to take care of them and there family.

Step-by-step explanation:



E

On a number line, suppose the coordinate of Ais 0, and AR = 15. What are the possible coordinates of the midpoint of AR?

Answers

Given :

On a number line, suppose the coordinate of A is 0, and AR = 15.

To Find :

the possible coordinates of the midpoint of AR.

Solution :

Their can be two points R which is at a distance of 15 units from the A .

One is -15 and other is 15.

Now, mid-point of A(0) and R(-15) is M (-7/2).

Also, mid-point of A(0) and R(15) is M (7/2).

Therefore, possible coordinates of the midpoint of AR is 7/2 , -7/2.

Hence, this is the required solution.

Use the quadratic formula, x=−b±b2−4ac√2a, to solve the equation −2x2−6x+3=0. Match each step to the correct method for solving the equation.

Answers

Answer:

[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]

Step-by-step explanation:

We are given the equation:

[tex]-2x^2-6x+3=0[/tex]

And we want to solve it using the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

First, let's identify our coefficients.

The a is the coefficient in front of the x² term, so a = -2.

b is the coefficient in from of the x term, so b = -6.

And c is the constant so c = 3.

Substitute:

[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(-2)(3)}}{2(-2)}[/tex]

Simplify. -(-6) is just 6. (-6) squared is 36. -4(-2)(3) is 24. And 2(-2) is -4. So:

[tex]\displaystyle x=\frac{6\pm \sqrt{36+24}}{-4}[/tex]

Add:

[tex]\displaystyle x=\frac{6\pm \sqrt{60}}{-4}[/tex]

Simplify the square root:

[tex]\sqrt{60}=\sqrt{4\cdot 15}=\sqrt{4}\cdot\sqrt{15}=2\sqrt{15}[/tex]

So:

[tex]\displaystyle x=\frac{6\pm 2\sqrt{15}}{-4}[/tex]

Simplify by dividing everything by 2:

[tex]\displaystyle x=\frac{3\pm \sqrt{15}}{-2}[/tex]

Move the negative in the denominator to the numerator. The plus/minus sign will not change.

[tex]\displaystyle x=\frac{-3\pm \sqrt{15}}{2}[/tex]

So, our zeros are:

[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]

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