Claire wants to determine how her math score 690 on a standardized college entrance exam compared to her mother score 680 what she took the exam 20 years earlier the year Clair took the exam the mean math score was 510 with a standard deviation of 110 points on Claires mother took the exam the mean math score was 490 with a standard deviation of 100 points who has the better relative performance

Answers

Answer 1

Answer:

Claires mother did better because her z score was greater than Claires

Step-by-step explanation:

I j took the quiz

Answer 2

Claire's mother did better because her z-score was greater than that of Claires.

What is Z -score?

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

As per the given information, the solution would be as

Here is Claire's data:

ц₁ = 510

σ₁ = 110

X₁ = 690

⇒ z-score = (X₁-ц₁ )/σ₁

Substitute the values,

⇒ z-score = (690 - 510)/110

⇒ z-score = 180/110

⇒ z-score = 1.636

Here is Claire's mother's data:

ц = 490

σ₂ = 100

X₂ = 680

⇒ z-score = (X₂-ц )/σ₂

Substitute the values,

⇒ z-score = (680 - 490)/100

⇒ z-score = 190/100

⇒ z-score = 1.9

So Claire's mother's z-score > Claire's z-score

Therefore, Claire's mother did better because her z-score was greater than that of Claires.

Learn more about the z-score here:

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Related Questions

Can someone please help me I need help and I can’t understand this plsssss

Answers

1a. Multiply a variable by 13, add 2.

1b. Subtract two from both sides, divide both sides by 13. X=3

2a. Subtract 3 from a variable; divide by 5

2a. Multiply both sides by 5,add 3 to each side. x=-2
Solution (1) :

Solution (a) :

step 1. Multiply the variable x with 13 .

step 2. Add 2 to it .

Solution (b) :

Step 1 : Subtract 2 from both sides : 13x + 2 - 2 = 41 - 2 = 39

Step 2 : Divide both the sides by 13 : 13x ÷ 13 = 39 ÷ 13 = 3

x = 3

Solution (2) :

Solution (a) :

Step 1. Subtract 3 from the variable .

Step 2. Divide the result by 5 .

Solution (b) :

[tex]Step \: 1. \: add\: 3 \: to \: both \: the \: sides : \frac{x - 3}{5} + 3 = - 1 + 3

[/tex]

Step 2 : Multiply both the sides by 5 : 5 × 1/5x = 5 × -2/5

x = -2

Snail moves 6 inches in 120 minutes. What was average speed of snail in inches per minute

Answers

Answer:

.2 inches a min.

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

6 divided by 120 = 0.05

Hope this helps☺️

In a population of 271 Dd parrots, predators kill 55. What is the approximate fitness of the genotype?

Fitness of Dd: 20%
Fitness of Dd: 40%
Fitness of Dd: 60%
Fitness of Dd: 80%

Answers

Answer:

60%

Step-by-step explanation:

They killed quite a bit and a lot were left.

What is the value of x?

sin(x+22)°=cos(2x−7)°

Answers

Answer:

x is 25

Step-by-step explanation:

sin(x+22)° = cos(2x-7)°

since,

sin theta = cos(90 - theta)

we can substitute that in (let theta = x + 22)

sin(x + 22) = cos(90 - (x+22))

we also know

sin(x+22) = cos(2x-7)

thus cos(90 - (x+22)) = cos(2x-7)

cos(90 - (x +22)) = cos(2x-7)

cos(90 - x -22) = cos(2x - 7)

cos(68 - x) = cos(2x - 7)

68 - x = 2x - 7

68 + 7 = 2x + x

75 = 3x

x = 75/3

x = 25

Find the
median
75,75,75,75,90,95,100,100,110,110,136, 136,136,136,180, 180,180
180,180,180

Answers

Answer:

110

Step-by-step explanation:

self explanatory

Find the standard deviation of the following data. Round your answer to one decimal place. x 00 11 22 33 44 55 P(X

Answers

Complete question :

Find the standard deviation of the following data. Round your answer to one decimal place.

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Answer:

1.833

Step-by-step explanation:

Given the data :

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Standard deviation (s) = Sqrt[Σx²*f(x) - E(x)²]

E(x) = (0*0.2) + (1*0.3)+(2*0.1)+(3*0.1) + (4*0.1) + (5 * 0.2) = 2.2

Sqrt[Σx²*f(x) - E(x)²]: [(0^2 * 0.2)+(1^2 * 0.3)+(2^2 * 0.1)+(3^2 * 0.1) + (4^2 * 0.1) + (5^2 * 0.2)] - 2.2²

Sqrt(8.2 - 4.84) = 1.833

12x+8y=28 in slope intercept form

Answers

Answer:

Step-by-step explanation:

y = − 3 /2 x  +  7/ 2

Step-by-step explanation:

The given expression is:

       12x + 8y = 28

Problem;

 Express in slope-intercept format;

   Solution:

The equation of a straight line is given as;

     y = mx + c

where y is the y-coordinate

          m is the slope

          x is the x-coordinate

          c is the intercept

 To solve this problem simply express the given equation as that of a straight line.

     12x + 8y = 28  in the form y = mx + c

      12x + 8y = 28  

   take 12x to the other side;

          8y  = 28 - 12x

divide by 8 to isolate the y;

           [tex]\frac{8y}{8} = \frac{28}{8} - \frac{12x}{8}[/tex]

            y  = [tex]\frac{7}{2} - \frac{3x}{2}[/tex]

Re-arranging gives;

           y = [tex]\frac{-3x}{2} + \frac{7}{2}[/tex]

This is the slope-intercept form.  

Determine whether the following probabilities are best categorized as subjective, empirical, or classical probabilities.

a. Before flipping a fair coin, Sunil assesses that he has a 50% chance of obtaining tails. Subjective probability Empirical probability Classical probability
b. At the beginning of the semester, John believes he has a 90% chance of receiving straight A’s. Subjective probability Empirical probability Classical probability
c. A political reporter announces that there is a 46% chance that the next person to come out of the conference room will be a Republican, since there are 80 Republicans and 93 Democrats in the room. Subjective probability Empirical probability Classical probability

Answers

a) Classical. This is because there are 2 sides and 1/2 = 0.50 = 50% is the chance of landing on tails. Classical probability is also known as theoretical probability.

b) Subjective. This is based off John's belief and his gut feeling. There doesn't seem to be any empirical data to back him up, unless he's looking back at previous semesters.

c) Empirical. When you have a finite set of data and you compute the probability based on it like what we're doing here, we're computing empirical probability. Another example would be that if you flipped a coin 30 times and got 17 heads, then the empirical probability of getting heads is 17/30 = 0.5667 approximately. Note how this is slightly different from the theoretical probability 0.50

what are the slopes of the two lines?

Answers

Step-by-step explanation:

The slopes of two lines are equal

how much is twice the size if im 3 ft 7 in tall​

Answers

Answer:

the answer is 7.1 inches tall

Find the value of the power.
3 exponent 5

Answers

Answer:

243

Step-by-step explanation:

3*3*3*3*3=243

Answer:

243

Step-by-step explanation:

Determine the ordered pair that satisfies the equation, -5x - 6y = -8.

Answers

Answer:

-2&-4

Step-by-step explanation:

-5x-6y=-8

it is a quadratic equation:

-5x-6y+8=0

(x-2)(x-4)

cross multiple and you'll get

-5x-6y+8=0

I don't know if you want to solve for x or y so I'm gonna do both.

Answer: x=-6/5y+8/5; y=-5/6x+4/3

Explanation: -5x-6y=-8 start by answering for x by adding it to both sides, -6y=-8+5x then add 8 to both sides, -6y+8=5x then divide 5 from both sides x=-6/5y+8/5. Now lets solve for y -5x-6y=-8 add 6y to both sides, -5x=-8+6y then add 8 to both sides, -5x+8=6y, then divide 6 from both sides -5/6x+8/6=y then simplify 8/6 into 4/3 and rewrite the equation y=-5/6x+4/3

A taxi company charges $3 per ride plus $1.50 for each mile traveled. Andrea wants to spend no more than $24 on a taxi ride. How many miles can Andrea travel? Select all that apply.

Answers

Answer:

x=14

Step-by-step explanation:

3+1.50x=24

24-3=21

21/1.50=14

Answer is C which is 14

The R.D. Wilson Company makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup with ice. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by the machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:_______.
14.25 13.7 14.02
14.13 13.99 14.0
Based on these sample data,which of the following is true if the significance level is .05?
A) No conclusion can be reached about the status of the machine based on a sample size of only six cups.
B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
C) The null hypothesis can be rejected since the sample mean is greater than 14.
D) The null can be rejected because the majority of the sample values exceed 14.

Answers

Answer:

The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.

Step-by-step explanation:

Data: 14.25, 13.7, 14.02,  14.13, 13.99, 14.0

Mean = [tex]\frac{Sum}{n}=14.015[/tex]

Standard deviation =[tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=0.1836[/tex]

Claim : Average number of fluid ounces in the cup should be 14.

Null hypothesis : [tex]H_0:\mu = 14[/tex]

Alternate hypothesis :[tex]H_a:\mu \neq 14[/tex]

n = 6

[tex]t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}\\t=\frac{14.015-14}{\frac{0.1836}{\sqrt{6}}}\\t=0.20\\\alpha = 0.05t_{df,\alpha}=t_{(5,0.05)}=2.571[/tex]

t critical > t calculated

So, we failed to reject null hypothesis

So, Option B is true

Hence The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.

i mark as brainliest ​

Answers

Answer:

the third one

Step-by-step explanation:

if im wrong you don't have to mark as braniest

a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s​

Answers

Answer:

23.7m

Step-by-step explanation:

Given parameters:

       Time taken = 2.2s

     Acceleration due to gravity = 10m/s

Unknown:

Depth of the well  = ?

Solution:

To solve this problem, we simply apply one of the motion equations;

        S = ut + [tex]\frac{1}{2}[/tex] gt²

    where S = depth of the well

                u = initial velocity

                t = time taken

               g = acceleration due to gravity

 Input the parameters and solve for S;

   Note initial velocity = 0;

     S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²

    S = 23.7m

In a square, what is the relationship between the length of a side and the area?
A. proportional
B. cannot be determined
c. non proportional
d. ratio

Answers

To find this answer I watched a Video called is side length & area proportional? by Khan Academy this is a very good website I use a lot!
The answer is non proportional I believe because the side length is x, so is the other side lengths because in a desire side lengths are all equal and to find area you do x squared or x times x. So they are not proportional because there will be different numbers for each. Ex. X= 2, area ( x squared ) is 4.

The relationship between the length of a side and the area is non proportional. so option C is correct.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In a square, we need to find the relationship between the length of a side and the area.

The answer is non proportional because the side length is x, so is the other side lengths.

The side lengths are all equal and to find area you do x squared or x times x.

So they are not proportional because there will be different numbers for each.

For example. X= 2, area ( x squared ) is 4.

Hence, The relationship between the length of a side and the area is non proportional. so option C is correct.

More can be learned about proportions at;

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Justin bought 12 souvenirs
during 6 days of vacation. How
many days will Justin have to
spend on vacation before he will
have bought a total of 20
souvenirs ?

Answers

Answer:

10

Step-by-step explanation:

10 days, because he got 2 souvenirs a day, so 20/2 = 10

This need help jxb...

Answers

2x, the second answer because the y intercept is 0 and it goes up 2 over 1!!

Answer:

That would be y = 2x.

Round 2.1132 to the nearest hundredth.
Answer:

Answers

Answer:

2.11

Step-by-step explanation:

hope this helps :)

Answer:

It would be 2.1100

Step-by-step explanation:

If y = –4 when x = 10, find y when x = 5.

Answers

Answer:

y=2

Step-by-step explanation:

y/x = k

Given y =4, x = 10 , It can be expressed as the ratio is 4/10.  We set the other as y/5.  By the definition two ratios are equal.   4/10 = y/5 . Multiply to each side by 5.  4/10*5 = y/5*5 . 20/10  = y

y = 2

Answer: y=2

Step-by-step explanation: If 10=4, then 5 equals 4 divided by 2, which equals 2.

Hopefully this helped! :D

8.032×10^-4 in standard form​

Answers

Answer:

0.0008032

Step-by-step explanation:

Hope this helps!

Answer:

80,320

Step-by-step explanation:

Which graph represents a function?

Answers

The third graph represents a function because it passes the vertical line test (VLT). (:

Solve for X using Special Rights

Answers

Answer:

c) 10√2

Step-by-step explanation:

Two angles are same, means this is an isosceles triangle.

So,

x=10

Now, by using pythagoras theorem,

y=√(10²+10²)

=10√2

Carl wrote three numbers between 0.47 and 0.48 What numbers did Carl write?

Answers

Answer:

Three examples are 0.471, 0.472, 0.473.

Always remember there are more than 2 place values in decimals! Do not be afraid to extend it. Have a nice day and mark brainliest if possible :)

what is the value of the Expression below ​

Answers

Your answer is -2 (aka option b that would be)

The graph of which of the following equations is parallel to the graph of 9x +y = 2?

Answers

Answer:slope~9

Y intercept (0,2)

X. Y

0. 2

2/9 0

Step-by-step explanation:

PLEASE HELP !!! Find the missing side lengths

Answers

where is the question?

which number line and expression show how to find the distance from -4 to 1?

Answers

Answer:

the correct answer is C

put 0.12, 0.1225, 3/25, 7/125 in order from least to greatest

Answers

Answer:

Note: 3/25 and 0.12 are the same

0.12, 3/25, 0.056, 0.1225

OR

3/25 0.12, 0.056, 0.01225

Hope this Helps!

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