The test scores of the students in four classes are summarized below. Answer the questions about them.

Class A: The mean score is 112 and the range of scores is 46.
Class B: The mean score is 110 and the range of scores is 51.
Class C: The mean score is 117 and the range of scores is 47
Class D: The mean score is 115 and the range of scores is 55

a. Based on the information above, which class's scores have the most variability?
b. Based on the information above, which class's scores have the least variability?

Answers

Answer 1

Answer:

Suppose that the mean score is M, and the range of scores is R.

The range is the difference between the largest score and the smallest score.

So, if the largest score is L, and the smallest score is S, we have:

R = L - S

Now, if the value of R increases, means that the difference between L and S also increases.

So having a large range usually is also a sign of having large variability.

Then:

a: Based on the information above, which class's scores have the most variability?

The class's scores with the most variability will be the class's scores with the largest range, in this case, the largest range of scores is for Class D.

b:  Based on the information above, which class's scores have the least variability?

Now we need to look at the class with the least range of scores, in this case, the smallest one is the one for Class A.


Related Questions

write the standard equation of the circle with the given Center and radius:

i would love help on this​

Answers

9514 1404 393

Answer:

  B.  (x +4)² +(y +5)² = 64

Step-by-step explanation:

The equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Filling in your given values, you have ...

  (x -(-4))² +(y -(-5))² = 8²

Simplifying, you get ...

  (x +4)² +(y +5)² = 64 . . . . . . . matches choice B

_____

Additional comment

As you learn more different "standard form" equations, it may be helpful to keep a list, along with reminders of what the variables stand for and how the equation is used.

Pls help asap will gibe brainlist

Answers

Answer:

✧ First , I splited the given figure into three parts namely ABCD , EFGH & lastly IJKL ( See the attached picture). Now , We're gonna find out the area of these rectangles :

Area of ▭ ABCD = Length × Breadth = 12 × 8 = 96 in²Area of ▭ EFGH = Length × Breadth = 13 × 4 = 52 in²Area of ▭ IJKL = Length × Breadth = 12 × 6 = 72 in²

♨ Now , Adding the area of ▭ ABCD , ▭ EFGH & ▭ IJKL :

☂ Total Area of the figure : 96 in² + 52 in² + 72 in² = [tex] \boxed{ \large{ \underline{ \tt{220 \: {in}^{2} }}}}[/tex]

☄ Hope I helped! ♡

♪ Have a wonderful day / night ! ♕

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \:Learning}}}[/tex] ☃

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Find the surface area of the prism below.



SA= square meters

Answers

Answer:

The surface area is 98 square feet.

Step-by-step explanation:

7 x 4 = 28

28 x 3 = 84

4 x 3.5 = 14

14 / 2 = 7

7 x 2 = 14

84 + 14 = 98

Jenny is x years old. Thomas is 3 times as old as her. Jenny is 5 years older than Alexis.
A) Find Alexis's age in terms of x
B) Find Thomas's age in terms of x.
C) If x=12, how much older is Thomas than Jenny?..

Answers

Answer:

A) Alexis is x-5 years old

B) Thomas is 3x years old

C) Thomas is 24 years older than Jenny (3×12=36 ; 36-12)

Alexis's age is x - 5.

Thomas's age is 3x.

Thomas is 24 years older than Jenny.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

A)

Jenny = x years old

Alexis = 5 years younger than Jenny.

So,

Alexis's age in terms of x.

Alexis's age

= Jenny's age - 5

= x - 5

B)

Thomas = 3 times as old as Jenny.

Thomas's age in terms of x.

Thomas's age = 3x

C)

x = 12,

Jenny = 12 years old.

Alexis = 5 years younger than Jenny,

So,

Alexis's age

= Jenny's age - 5

= 12 - 5

= 7

Now,

Thomas = 3 times as old as Jenny.

And,

Jenny = 12 years old.

Thomas's age

= 3x

= 3 x 12

= 36

Now,

Thomas's age - Jenny's age

= 36 - 12

= 24

Therefore,

Alexis's age = x - 5.

Thomas's age = 3x

Thomas is 24 years older than Jenny.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Use the shell method to compute the volume (CALCULUS HELP!!!)

Answers

Use the shell method. The volume is

V = 2π ∫₅⁸ (x - 5) x ² dx

V = 2π ∫₅⁸ (x ³ - 5x ²) dx

V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸

V = π/6 (3x ⁴ - 20x ³) |₅⁸

V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))

V = 891π/2

( EXTRA POINTS PLEASE HELP ) you have a square that measures 5 cm as you have a triangle that has a base of 5 cm and a height of 8cm what is the total area of the square and the triangle​

Answers

Step-by-step explanation:

[tex] {5}^{2} + \frac{5 \times 8}{2} = \\ = 25 + 20 = \\ = 45[/tex]

Please help me thanks! :)

Answers

Answer:

eyjdnfbhs

Step-by-step explanation:

Mr. Farris drives 7 1/2 miles directly west of his home to a restaunt.he then drives 8 2/3 miles directly east of the restauant to his office. how far , and in what direction is his office from his home ?

Answers

Answer:

2 1/6

Step-by-step explanation:

8 2/3 - 7 1/2 = 2 1/6

9514 1404 393

Answer:

  1 1/6 miles east of home

Step-by-step explanation:

If we consider east to be positive, then the distance from home to office is ...

  (-7 1/2) +(+8 2/3) = -7 3/6 +8 4/6 = (8 -7) +(4/6 -3/6) = +1 1/6

Farris's office is 1 1/6 miles east of his home.

What is the correct factorization of 3x2 + 14x + 8?
a. (3x + 4) (x + 2)
b. (3x + 2)(x + 4)
c. (3x + 8) (x + 1)
d. (3x + 1)(X + 8)

Answers

Answer: hope it is helpful to you

Answer:

b.(3x+2)(x+4)

Step-by-step explanation:

3x²+14x+83x²+12x+2x+83x(x+4)+2(x+4)(3x+2)(x+4)

hope it helps.

Which could be the function graphed below? ​

Answers

9514 1404 393

Answer:

  (a)  f(x) = √x -2

Step-by-step explanation:

The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.

  [tex]f(x)=\sqrt{x}-2[/tex]

Answer:

the answer is A.

Step-by-step explanation:

:))))))

what is the square unit of 5,469

Answers

Answer:

29909961

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

stimulus check summary please help me please

Answers

Answer: I think it’s great but you should make a stronger opinion and always have back up evidence

Step-by-step explanation:

Stimulus checks are checks sent by the U.S. government to taxpayers to boost their spending power and spur economic activity. Stimulus checks are either mailed to taxpayers or an equivalent tax credit is applied to their tax filing.

[1 6 9 3]
[2 5 8 1]
[0 2 2 4]
what are the dimensions of the matrix

Answers

Answer:

4 by 3

Explanation:

Rows by columns


Ella and 3 friends are going ice skating. They hire 4 pairs of ice skates for 3 hours. The formula below is for working out the cost of hiring the stakes including a deposit.

C=s(3h+5)

C
= total cost
s
= number of pairs of ice skates
h
= number of hours

How much will it cost to hire 4 pairs of ice skates?

Answers

s = 4

h = 3

C = ?

C = s(3h + 5)

C = 4(3·3 + 5)

C = 4(9 + 5)

C = 4(14)

C = ?

ANSWER: It costs 56 dollars

NEED HELP ASAP PLEASE PLEASE PLEASE​

Answers

Answer:

tanθ=-0.96

Step-by-step explanation:

see attachment below

Write the following ratio as a fraction in lowest terms:
4.4 g to 1.2 pounds

Answers

Answer:

3 2/3

Step-by-step explanation:

Hope this is right

Answer: 3 2/3

Step-by-step explanation:

Need help with finding the mean (MATH 7th GRADE)

Answers

Answer:

mean = 49.25

Step-by-step explanation:

mean = sum of all the number ÷ amount of number

mean = 56 + 21 +55 + 30 + 34+ 76 + 40 + 82 = 394 ÷ 8

mean = 49.25

mean absolute deviation = (56- 49.25) + (21 - 49.25) + (55 -49.25) + (30 - 49.25) + (34 -49.25) + (76 -49.25) + (40 - 49.25) + (82- 49.25) / 8

mad= 6.75 + -28.25 + 5.75 + -19.25 + -15.25 + 26.75 + -9.25 + 32.75 / 8

mad = 0/8

mad= 0

brainliest is appreciated

i need help! please and thank you

Answers

Answer:

[tex]20\pi[/tex] m

OR

62.8318531 m

Step-by-step explanation:

This is actually pretty simple

The distance the tip travels is the arc length and the length of the pendulum is the radius of a circle

The formula for arc length is Angle in Radians x Radius

So pi/12 * 4 = pi/3 m

We know this is how much it travels every second so it is going at pi/3 m/s

One minute is 60 seconds

pi/3 * 60 = 20pi m

what a hypothesis in science ​

Answers

It’s a educated guess based on prior knowledge and observation, a scientific hypothesis is mostly based on how you think the experiment will be a result of therefore you have to test it in order to prove whether or not your hypothesis is scientifically correct or not !

(Mark as brainliest will be appreciated)

12 less than a number is 39 find the number round your answer to the nearest integer if necessary

Answers

Answer:

number = n

n = 51

Equation:

n - 12 = 39

39 + 12 = 51

The rule in this pattern is add 3. Write the next 4 terms of the pattern. What do you observe about the terms in the pattern? Explain why you think this pattern will continue to be this way.

An image of a pattern. Term one has five dots, term two has eight dots, term three has eleven dots. (4 points)

Answers

If the rule for this pattern is add 3, you would take term 1 which had 5 dots then add 3, that makes term 2 have 8 dots, than add 3 that means term 3 has 11 dots, term four would have 14, and each term after that would have 3 more

Rowanda jogged 2.13 kilometers farther than Terrance.

Select the values that could represent how far each student jogged.
Select all that apply.

A Rowanda: 6.9 km, Terrance: 4.77 km
B Rowanda: 4.7 km, Terrance: 2.67 km
C Rowanda: 7.27 km, Terrance: 5.14 km
D Rowanda: 3.52 km, Terrance: 1.49 km

Answers

Answer:

A and C

Step-by-step explanation:

A company wants to design a cylindrical object that has a height of 10 cm and a volume of at least 2000 cm but not more than 2500 cm

Answers

Answer:

1750

Step-by-step explanation:

2000-10-240

Write a quadratic equation with the given vertex.​

Answers

Answer:

See below

Step-by-step explanation:

[tex]14. \: vertex \: ( - 4, \: - 3) \\ require \: quadratic \: equation \\ {x}^{2} - ( - 4 - 3)x + ( - 4)( - 3) = 0 \\ {x}^{2} + 7x + 12 = 0 \\ \\ 15. \: vertex \: ( - 2, \: 1) \\ require \: quadratic \: equation \\ {x}^{2} - ( - 2 + 1)x + ( - 2)( 1) = 0 \\ {x}^{2} + x - 2 = 0\\ \\ 16. \: vertex \: ( 3, \: 8) \\ require \: quadratic \: equation \\ {x}^{2} - ( 3 + 8)x + (3)( 8) = 0 \\ {x}^{2} + 11x - 24 = 0[/tex]

PLSSS HELP ME ASAPPPPPPP​

Answers

THE ANSWER IS B $115 plz mark me brainliest i want points :’)
the answer should be b :)

A pharmaceutical company is conducting a study on whether or not their new vaccine is effective in preventing chicken pox. The researchers rejected the null hypothesis and stated that the vaccine was effective. However, subsequent studies found out that the vaccine did not have any effect on combating chicken pox. What type of error did the researchers make

Answers

Answer:

The answer is "Type 1 error".

Step-by-step explanation:

The error of type I, frequently known as a 'false positive': its error in judgment that perhaps a null hypothesis is simply rejected. This is the mistake of accepting a possible (actual interest hypothesis) hypothesis whenever the results could be attributed to chance since the researchers deny, if valid, the null hypothesis.

Prove that if triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides, their associated Saccheri quadrilaterals are congruent. (HINT: Recall that the angle sum for a triangle is equal to the sum of the measures of the summit angles of its associated Saccheri quadrilateral and that the two summit angles of a Saccheri quadrilateral are congruent.)

Answers

Answer:

According to theorem 7.5

Π ABB'A' ≅ Π DEE'D'  

therefore by transitivity of equivalence  it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides

Step-by-step explanation:

To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :

Assume:  б(Δ ABC ) =  б(Δ DEF ) and also AB ≅ DE

let Π ABB'A' and DEE'D' be taken as the saccheri quadrilaterals that corresponds to Δ ABC and Δ DEF  respectively

Following the Lemma above; б(Π ABB'A' ) = б( Π DEE'D' ) given that

AB = summit of ABB'A' and DE = summit of DEE'D'  also  AB ≅ DE

According to theorem 7.5

Π ABB'A' ≅ Π DEE'D'  

therefore by transitivity of equivalence  it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides

Is 5/3 and 7/9 a similar fraction?​

Answers

Answer:

No

Step-by-step explanation:

Hi I have a question pls DON’T give a link

Answers

Answer:

5. x=11

6.x=9

Step-by-step explanation:

5. 8 x 3=24

264/24=11

6. 4.5 x 4= 18

162/18=9

Describe how you would convince a friend that sin(x + y) does not equal sin x + sin y.
via Edge

Answers

Answer:

By showing an example of ditributive property against addition.

Step-by-step explanation:

Let's say:

x = 5

y = 10

sin = 4

let's plug it in:

sin(x + y)

4(5 + 10) Let's solve:

20 + 40 = 60

Let's see if we get the same result:

5 + 10 = 15.

Not even close.

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Write an exponential function in the form y=ab^x that goes through points (0, 2) and (6, 8192) Could side length of 12,10,30 make any triangle Help me plz!! The volume of a right rectangular prism is 573.3 cm. The length of the right rectangular prism is 7.35 cm and the height is 16.25 cm.What is the width of the right rectangular prism? PLEASE I NEED HELP PLEASE Which material is likely to slow the flow of electric charges the most? Explain. Which answer choice best explains a drawback of print sources?Print sources frequently provide unreliable information.Print sources contain less information than digital sources.A researcher must have a library card to access print sources.A researcher has to be in the same physical location as a print source. Calculate the grams of solute in each of the following solution: 278 mL of 0.038 M Fe2(SO4)3 show that a square b square c square are in AP if and only if 1/b + c ,1/c+ a,1/ a + b are in AP Which of the following is not a natural change to the environment?flooddroughtranchingdisease Which statement best explains the effect of the word clean in this passage? It shows that the speaker does not like farming because he dislikes getting dirty. It draws attention to the differences between the speaker and his father. It suggests that the speaker finds the sound of digging to be pleasant and wholesome. It emphasizes that the speaker has many chores to do around the farm. What is the area of the kite? Is there a simple machine that can be used for all purposes? Solve the equation for x. 3(x-a)+b=4x+a which of the following group of colours receole? warm colours, cool colours, primary colours, natural colours A science teacher fills a spherical bubble with hydrogen gas. The bubble has a diameter of 8 centimeters.Find the volume of hydrogen gas. Round your answer to the nearest tenth, if necessary.O 50.3 cmO 100.5 cm?O 268.1 cm?O 2, 144. 7 cm What reason and evidence does the excerpt use tosupport its argument that the court had ruled incorrectlyin the Brown case?The original Constitution does not mention educationNeither does the 14th Amendment nor any otheramendment. The debates preceding the submission of the14th Amendment clearly show that there was no intentthat it should affect the system of education maintainedby the States...We reaffirm our reliance on the Constitution as thefundamental law of the land.We decry the Supreme Court's encroachment on therights reserved to the States and to the people, contraryto established law, and to the Constitution-Southern Manifesto (1956)0 The Constitution does not discuss education, so itshould be left to the states,The 14th Amendment prohibits the court from rulingon matters of education,The 14th Amendment prohibits the court from rulingon matters better left to states,1 There was no intent for education to be unequal, sothe court ruled incorrectly. Estimate the area of the circle. Use 7/22 for tour busload of 45 people attended two Florida theme parks on successive days. On Day 1 the entrance fee was $15 per adult, $8 per child, $12 per senior citizen and the total charge was $558. On Day 2 the entrance fee was $20 per adult, $12 per child, $17 per senior citizen and the total charge was $771. How many adults, children, and senior citizens were on this tour bus i will award brainliest HELPP CORRECT ANSWER = BRAINLIEST | NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below: