A teacher gave a unit test to both of her statistics classes. The mean test grade for Class A was 77 points, with a standard deviation of 5 points, whereas the mean test grade for Class B was 80, with a standard deviation of 7 points. Kyle, in Class A, received an 82 on the test, and Caleb, in Class B, received an 87. Whose performance on the unit test was better relative to their class?

Answers

Answer 1

Answer:

i think they would be the same

Step-by-step explanation:

77+5=82 or 77-5=72

so he is within the range of 72-82

80+7=87 80-7=73

so he is also within the range of 73-87

Answer 2

Since both Kyle and Caleb scored 1 standard deviation above their respective class means, we can conclude that their performances were relatively equal.

What is standard deviation?

A standard deviation is a measure of how far apart the data is from the mean.

A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation indicates that data is more spread out.

To determine whose performance was better relative to their class, we need to calculate their z-scores, which tell us how many standard deviations a particular score is from the mean.

For Kyle in Class A:

z-score = (82 - 77) / 5 = 1

This means that Kyle's score is 1 standard deviation above the mean for his class.

For Caleb in Class B:

z-score = (87 - 80) / 7 = 1

This means that Caleb's score is also 1 standard deviation above the mean for his class.

Thus, we can conclude that Kyle and Caleb's performances were comparable because they both scored one standard deviation above their respective class means.

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Related Questions

Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14 inches high. The new photo will be 132 inches wide. What will the new height be? Round to the nearest inch if necessary.
104 inches
146 inches
154 inches
168 inches plzzzz help

Answers

I’m pretty sure it’s the third one but I’m sorry if I get it wrong

Answer:

168 is the correct one hope it helped

Step-by-step explanation:

solve nt+6-xt=s for t

Answers

Answer:

[tex]t=\frac{s-6}{n-x}[/tex]

Step-by-step explanation:

[tex]nt+6-xt=s[/tex]

[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]

[tex]nt+6-xt-6=s-6[/tex]

[tex]Simplify[/tex]

[tex]nt-xt=s-6[/tex]

[tex]nt-xt[/tex]

[tex]=t\left(n-x\right)[/tex]

[tex]t\left(n-x\right)=s-6[/tex]

[tex]\frac{t\left(n-x\right)}{n-x}=\frac{s}{n-x}-\frac{6}{n-x};\quad \:x\ne \:n[/tex]

[tex]t=\frac{s-6}{n-x}[/tex]

Therefor the value of t after arrangement is t = (s-6)/(n-x)

What is Mathematical function ?

Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.

In other words the function represents the graph between x and y that is for each value of x there exist one value of y but here there is no restriction in values of y that is y can have infinity values.

Given equation is  nt+6-xt=s

Now solving for t by separately variables and constant :

 nt+6-xt=s

t(n-x) = s-6

t = (s-6)/(n-x)

Therefor the value of t after arrangement is t = (s-6)/(n-x)

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If 15 pies will serve 20 people, how many pies are needed for 152 people?

Answers

Answer:

114 pies

Step-by-step explanation:

If the pie get together only had 20 people with 15 pies, then each person had a portion of 3/4 (divide them). The pie party has 152 people with 3/4 portions each, which means there has to be 114 pies at the party (multiply them).

:)

Answer:

152÷20=7.6

7.6×15=114

114 pies

Find the inverse for this relation: { (1, -3), (-2, 3), (5, 1), (6, 4) }

Answers

Answer:

(-3,1), (3,-2), (1,5), (4,6)

Step-by-step explanation:

For finding and inverse of a relationship, you simply just need to swap the x and y values. So the x will go into the y value and the y value will go into the x value.  

The inverse relation for the given relation is  {(-3, 1), (3, -2), (5, 1), (6, 4)}.

What is relation?

A relation in mathematics can be defined as a set of a pair of elements belonging to each set. It is also called as a mapping from one set to the other.

The given relation is { (1, -3), (-2, 3), (5, 1), (6, 4) }.

The domain of the given relation is set of all the first elements of each pair and the range is the set of all the second elements of each pair.

The range and domain set can be written as,

Domain = {1 , -2, 5, 6 }

Range =   {-3, 3, 1, 4}

In order to find the inverse relation the domain and range sets sre interchanged.

Thus, the inverse relation for the given relation can be written as,

{(-3, 1), (3, -2), (5, 1), (6, 4)} .

Hence, the inverse relation is given as {(-3, 1), (3, -2), (5, 1), (6, 4)}.

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the weight of 6 eggs is shown. identify the constant of proportionality of total weight to number of eggs. the weight of 6 eggs is 288 g.​

Answers

Answer:

The weight of  eggs is shown. Identify the constant of proportionality of total weight to number of eggs.

A row of 6 eggs is labeled "The weight of 6 eggs is 270 grams."

The weight of 6 eggs is 270 g.

Step-by-step explanation:

Answer:hi

Step-by-step explanation:

hi

1 point
Question: A school purchased a total of 112 student tickets and adult
tickets for a field trip to a play. The price of each student ticket was $3.50,
and the price for each adult ticket was $6.50. If the school spent a total of
$437, how many student tickets and adult tickets did the school purchase?
92 student tickets; 20 adult tickets
97 student tickets; 15 adult tickets
O
102 student tickets; 10 adult tickets
88 student tickets; 23 adult tickets

Answers

Answer:

the answer is 97 student tickets and 15 adult tickets

Step-by-step explanation:

Science, technology, engineering and mathematics or STEM education was an initiative developed by the________________.
A. National Science Foundation
B.National Scholar Foundation
C. National Schools Foundation
D. National Secondary Foundation

Answers

Answer:

A

Step-by-step explanation:

look it up on google

Answer:

d

Step-by-step explanation:

simplify -50 1/2+(-12.3)

Answers

Answer:

-62.8

Step-by-step explanation:

-50 1/2 + (-12.3)

= -101 / 2 - 12.3

= -101  -  24.6

         2

= -125.6 / 2

= -62.8

Answer: you can use a website called math. way! Make sure its online like the website

Step-by-step explanation:

its a mathpage and it does algebra!

-1/2x = -4/5
Help please

Answers

Answer:

x = 8/5

Step-by-step explanation:

first multiply both side by -1, it makes both side positive

1x/2 = 4/5

now multiply both sides by 2 to get the x by itself

x = 8/5

if they want improper fraction x = 1[tex]\frac{3}{5}[/tex]

Answer:

x=-8/5

Step-by-step explanation:

Plz Help! Giving out brainiest!
1/4:10 = x:4

Answers

x=1/10 or another way to write that is x= 0.1

John is performing an experiment in which a solution alternates between a clear color and a bluish-purple color at a regular time interval. He observes that the time interval between color changes is 30 seconds (s). Sally replicates the experiment with the same solution, but at a temperature that is 10 degrees Celsius (°C) higher. What is the most likely time interval between color changes at this higher temperature?

Answers

Answer:

15 seconds

Step-by-step explanation:

The given parameters for the experiment are;

The time it takes the solution to change from a clear color to a bluish-purple color at a given temperature = 30 seconds

The temperature at which Sally replicates the experiment with the same solution = 10°C higher than the temperature the experiment was carried out by John

Given that the process involves a change in color, which is a characteristic of a chemical reaction, and that the rate of a chemical reaction increases as the temperature of the reacting system is increased, we have time it takes for the solution to change color at a temperature increased by 10°C, will be a time lesser than 30 seconds

Answer:

B

Step-by-step explanation:

Name the bases of the prism

Answers

Answer:

D

Step-by-step explanation:

im 79% sure

Monica uso 1,2 litros de leche para hacer 12 flanes iguales ¿cuantos litros de leche necesitaria para hacer 60 flanes? ¿cuantos flanes haria con 0,5 decalitros de leche?

Answers

Answer:

1. 6 L de leche.

2. 50 flanes.

Step-by-step explanation:

1. Determinación del volumen (en litros) necesario para realizar 60 natillas.

De la pregunta dada arriba,

Monica usó 1.2 L de leche para hacer 12 natillas iguales.

Por lo tanto, usará xL de leche para hacer 60 natillas, es decir

xL de leche = (1.2 × 60) / 12

xL de leche = 6

Por lo tanto, necesitará 6 L de leche para hacer 60 natillas.

2. Determinación del número de flanes (natillas) que se pueden producir utilizando 0,5 decalitros de leche.

Empezaremos por convertir 0,5 decalitros (deca) a litro (L).

Esto se puede obtener de la siguiente manera:

1 deca = 10 L

Por lo tanto,

0.5 deca = 0.5 deca × 10 L / 1 deca

0,5 deca = 5 L

Por tanto, 0,5 deca equivale a 5 L.

Finalmente, determinaremos el número de flanes (natillas) que se pueden obtener a partir de 0.5 deca (es decir, 5 L) como se muestra a continuación:

Monica usó 1.2 L de leche para hacer 12 natillas iguales.

Por lo tanto, usará 5 L de leche para producir = (5 × 12) /1.2 = 50 natillas

Por lo tanto, puede hacer 50 flanes (natillas) usando 0.5 deca (es decir, 5 L).

What is the name of each labeled part?
B
С
B
C
E
A
E
D

Answers

Answer:

I know that B is the nucleas but I don't know the rest sorry

Answer:

A: dendrite

B: cell body

C: axon terminal

D: axon

E: nucleus

Step-by-step explanation:

I need help ASAP!!!!!!!

Answers

Answer: i think the answer is d or c im not to sure

Step-by-step explanation:

Answer:

your answer is not a function for the (0,0)

and the rest of the other 2 plots  with 1.5 are is your top answer and there's your answers i belive on my opinion

a rectangle prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches.

Answers

Answer:

▶◀

Step-by-step explanation:

n/a bc you didn't explain wut to do

Graph.
y= 53x–4

Apparently this is way to short and I have to put in 20 more characters to get a "great" answer *eye roll* sooooooooooo blah blah blah balh there more than 20

Answers

Answer:

sorry

Step-by-step explanation:

why the hell do our teachers do this to us ;(

I need some help with this math problem

Answers

Answer: it’s C

Step-by-step explanation:

PLZ ANSWER BOTH QUESTION

Answers

Answer:

The value of 2 pennies and 3 dimes is 17¢. The value of p pennies and d dimes is (p×1)+(d×5)

Step-by-step explanation:

Use the formula (p×1)+(d×5).

Insert the number of pennies and dimes into the formula: (2×1)+(3×5).

Solve the equation: (2×1)+(3×5)

= 2+(3×5)

= 2+15

= 17

So, there are 17¢ in 2 pennies and 3 dimes.

The answer for question 2 is the formula written above.

1.f(x)=0,5x+3 represents a function, Evaluate the function if f(12), *
A. 9
B. 3.04
C. 18
D. 15.5

Answers

It’s 9. F(12)= 6 (0.5 x 12) + 3

The width of a rectangle is 3/4 it’s length. The perimeter of the rectangle is 350 ft. What is the length, in feet of the rectangle

Answers

Answer:

20

Step-by-step explanation:

Which fractions have the same value as −1/4 ?

Answers

Answer:

Some examples are -2/8, -3/12, -4/16.

Step-by-step explanation:

-3/12 Is One Have Ah Good Day

What is the image point of (1,0) after a translation right 1 unit and up 4 units?

Answers

Answer:

(2,4)

Step-by-step explanation:

hope this helps :)

Answer:

(1,0) + 4 up and + 1 right

The answer is (2,4)

Find the value of x when 6 - 4x = 6x - 8x + 4. The value of x​

Answers

Answer:

1

Step-by-step explanation:

6 - 4x = 6x - 8x+ 4

6 - 4x = -2x + 4

-4x + 2x = 4 - 6

-2x = -2

x = -2/-2

x = 1

hope you understood❤

Answer is x=1 add 4x to both sides, add x variables together to make 2x, subtract 4 to get x by itself, 2=2x, divide to get answer

77÷ -11

20 points!!!!!

Answers

Answer:

7 time 11 is 77 so 77 divided by 11 is 7

Step-by-step explanation:

Answer:

It's -7

Step-by-step explanation:

What is the image point of (2,4)(2,4) after a translation left 4 units and down 1 unit?

Answers

Answer:

(-2; 3)

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

Brenda won 59 lollipops playing hoops at
the county fair. At school she gave two to
every student in her math class. She only
has 1 remaining. How many students are
in her class?

Answers

30. since there is 1 remaining, you take that away from 59, leaving you with 58. you would then divide 58 by 2 since each classmate gets 2. that results in the final answer of 29. however, she’s in that class too so you would add one for her making it 30

Two hot air balloons are traveling along the same path away from the town, beginning from different locations at the same time. Henry's balloon begins 25 miles from the town and is 37 miles from the town after 2 hours. The distance of Tasha's balloon from the town is represented by the function y= 7x + 15

Which ballon was farther from the town at the beginning, and which traveled more quickly?

A. Henry's balloon was farther from the town at the beginning, but Tasha's balloon traveled more quickly.

B. Henry's balloon was farther from the town at the beginning, and it traveled more quickly.

C. Tasha's ballon was farther from the town at the beginning, but Henry's balloon traveled more quickly.

D. Tasha's balloon was farther from the town at the beginning, but it traveled more quickly.



Please help!!

Answers

Answer:

A

Step-by-step explanation:

what is the area of this composite figure

Answers


245 m So you divide the shape into section to make a rectangle and a triangle and find the area of a rectangle or square you multiply the length times height in this case is 18*10 and to find the area of a triangle you multiply its base times its height divided by two in which un this case would be (10*13)/2 and one you add both the equations together you get your area 180+65

The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of variation in this scenario?

Answers

Answer: 16 acres

Step-by-step explanation: we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

Find the value of the constant of proportionality k

substitute the values of x and y

The linear equation is equal to

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

the answer is 16 acres

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

Find the value of the constant of proportionality k

substitute the values of x and y

The linear equation is equal to

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

Step-by-step explanation:

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