Two classes of students took an exam.

Here is a list of the scores in Class A:
65, 70, 70, 80, 80, 85, 85, 85, 90, 90, 100

Here is a box plot that shows the scores in Class B:
Box plot from 55 to 100 by 5’s. Whisker from 60 to 70. Box from 70 to 80 with vertical line at 75. Whisker from 80 to 90.

1. Which class had better overall results on the exam?
2. Which class had greater variability in the results?

Answer:

f(x) = x¹² + 4

Step-by-step explanation:

Degree 12:

This means that one of the terms needs to be raised to the power of 12. The term should be a variable. Therefore, a term you can use is x¹².

2 Terms:

This means there should be 2 separate entities in the expression. These terms are non-combinable unless you input an "x" value. The 2 terms you could use for this expression are x¹² and a constant.

Constant:

Constants are numbers that are not beside any variables. In other words, they are not being multiplied to the "x" value. The constant you could use is (4).

Putting all of these together, one of the many expressions that could satisfy the prompt is f(x) = x¹² + 4.

Answer:

0.9 kg of chocolate and 2.1 kg of peanut butter

Step-by-step explanation:

Since we know Ms. G is making 3 kg of peanut butter cups we can remove one of the variables. I will say that p = (3 - c) since anything in the 3 kg that isn't chocolate is peanut butter.

We can now find the total cost of the peanut butter cups.

3kg * $9.55/kg = $28.65

We can now set up an equation to find how much chocolate was bought.

8.50(3 - c) + 12(c) = 28.65 | distributive property

25.5 - 8.5c + 12c = 28.65 | subtract 25.5 from both sides

3.5c = 3.15 | divide both sides by 3.5

c = 0.9

This means 0.9 kg of chocolate was bought. Now we can solve for the amount of peanut butter purchased.

p = (3 - c)
p = (3 - 0.9)

p = 2.1

This means 2.1 kg of peanut butter was bought.

That is the answer

- Kan Academy Advance

Answer: The sample of the survey was 3000 teenagers
               The population of the survey was teenagers across the state

Step-by-step explanation:

"3000 randomly selected teenagers"

"3000 randomly selected teenagers across the state"

Answer:

(2x + 1) (3x - 4)

Step-by-step explanation:

Solution:

Answer:

The value of x = 7

Step-by-step explanation:

x²-14x + 49

=> x² - 7x - 7x + 49

=> x ( x - 7) - 7 ( x - 7 )

=> (x - 7) (x - 7)

=> x = 7

Answer:

3 times 5 times 5

Answer:

The way the problem is written: y = 8x/3 - 20/3

If the two numbers are the same: the number is 4.

Step-by-step explanation:

She thought of 2 numbers.

The first number is x.

The second number is y.

8(x - 5/2) = 3y

We have one equation with two variables, so we do not have enough information to find the two numbers.

We can just express one number in terms of the other number.

8x - 20 = 3y

3y = 8x - 20

y = 8x/3 - 20/3

If the problem were:

"Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?",

then there is only one variable, and we can find the number.

8(x - 5/2) = 3x

8x - 20 = 3x

5x = 20

x = 4

The number is 4.

100 and 28 (a lot of others)

Step-by-step explanation:

Since the inside angles of a triangle equals 180 we can just do 180-52 which is 128 after that you can make any pair you want :)

Answer:

9

Step-by-step explanation:

substitute m = 5 and n = 29 into the expression

n - 4m

= 29 - 4(5)

= 29 - 20

= 9

Answer: x times (x-4)=45

Step-by-step explanation:

First since the area is 45 that’s what the equation has to be equal to.
To find the area you always have to do length times width. So the width (x) times the length (x-4) equals 45.

Answer: k=18

Step-by-step explanation:

1) Multiply all terms by the same value to eliminate fraction denominators: 2•k/2=2•9

2) Cancel multiplies terms that are in the denominator: k=2•9

3) Multiply the numbers: k=18

4) Get the solution

Answer:

Your first step in solving the system would be to substitute the value of a variable into one of the equations

Step-by-step explanation:

We know that x = 2y + 2 and y = -1/3x + 4, so we could insert one of these values as the variable in one of the equations

If we were to insert -1/3x + 4 for y, our new equation would be:

x = 2(-1/3x + 4) + 2 (as you can see, the value of y was inserted into the equation)

This is not really a random sample. The athletes are heavily biased toward loving sports. Likely they'll pick their favorite sport to be the one they are currently playing.

Example: if basketball players are asked their favorite sport, they likely might pick basketball.

A much better approach is to randomly select names from a hat, use computer software, or a random number table. This will produce a more random sample to help better represent the population.

Answer:

10000000 Thousand second ........°°°°°°

Answer:

151 m^2

Step-by-step explanation:

Given,

Height ( h ) = 10 m

Radius ( r ) = 2 m

To find : Surface Area

Here, the shape is cylinder.

Formula : -

Surface area of cylinder = 2πr ( r + h )

Note : -

The value of π is 3.14

Surface area of cylinder

= 2πr ( r + h )

= 2 x 3.14 x 2 ( 2 + 10 )

= 12.56 ( 12 )

= 12.56 x 12

= 150.72

= 151 m^2 ( approximately )

clearly I don't know but just say yes

Answer:

10,099.80

Step-by-step explanation:

Given: The principal amount (P)= $8,000

The rate of interest (i)= 6 % = 0.06

Time = 4 years

The formula to calculate the compound amount in x years is given by :-

Then the compound amount received by Matthew after 4 years will be:_

Hence, the total amount that Matthew's bank will receive afeter 4 years =$10,099.80

Answer:

$10,099.82

Step-by-step explanation:

Given formula:  [tex]\sf TA = P (1+i)^t[/tex]

where:

Given:

Substituting the given values into the formula:

[tex]\implies \sf TA=8000(1+0.06)^4[/tex]

[tex]\implies \sf TA=10099.81568[/tex]

Therefore, the total amount the Matthew's bank will receive is $10,099.82

Answer:

No

Step-by-step explanation:

If you look at the graphs of the two expressions when x > 8

 you will see that 2^x is greater

Yes that's true

because

As we can observe the table

The values of 5x²

The values of 2^x

Clearly Tyler is correct

But

This is just according to table

After some while 2^x will shift gears to go ahead of 5x² side

Example

Answer:

4meters

Step-by-step explanation:

friend ,for you to calculate this question you have to know the formula which is 1/2 h (a + b) x height. then use the procedure written in the picture of which you should end up dividing as I have then you will eventually get your answer but the key point is that you should know the formula and the number at the right side is the one dividing the area (37.4) not the area dividing the number at the right side which is 9.35 good day.

Answer:

c=60m+35

Step-by-step explanation:

c is the cost so it should be equal to and 60 a month so 60m and +35

Answer:

D.f(x-2)

g is f shifted to the right by 2. So, f(x-2) is the correct answer.

Hope this helps!!!

Please mark me as brainliest!!!

The radius and the height of the dimension that will minimize the amount of material used in the construction are [tex]\mathbf{r = \sqrt[3]{\dfrac{1500}{\pi}} }[/tex] and [tex]\mathbf{h = \dfrac{3000}{\pi ({\dfrac{1500}{\pi}} )^{2/3}}}[/tex] respectively.

The dimension that minimizes the surface area of a cylinder can be determined by:

Given that:

The area of the cylinder = (2 πr)h + 2(πr²)

The volume of the cylinder

Let's identify the constraint equation and Optimization equation:

To minimize the surface area of the can, we have:

The constraint equation is the equation that limits us:

So, Let's solve for h in our volume equation, we have:

3000 = πr² h

h = 3000/πr²

Now, from the Area equation

[tex]\mathbf{A = 2 \pi r(\dfrac{3000}{\pi r^2}) + 2\pi r^2}[/tex]

Taking the derivate and setting it to zero, we have;

Derivative:

[tex]\mathbf{A = \dfrac{6000}{ r}+ 2\pi r^2}[/tex]

[tex]\mathbf{A = 6000 r^{-1} + 2\pi r^2}[/tex]

[tex]\mathbf{A' = -6000 r^{-2} + 4\pi r}[/tex]

[tex]\mathbf{A' = 4\pi r-\dfrac{6000}{ r^{2} }}[/tex]

Setting it to zero, we  have:

[tex]\mathbf{0=\dfrac{ 4 \pi r^3 - 6000}{r^2}}[/tex]

Factor out 4

0 = 4(πr³ - 1500)

1500 = πr³

r³ = 1500/π

[tex]\mathbf{r = \sqrt[3]{\dfrac{1500}{\pi}} }[/tex]

The above is the radius that minimizes the surface area of the cylinder;

From [tex]\mathbf{h = \dfrac{3000}{\pi r^2}}[/tex]

[tex]\mathbf{h = \dfrac{3000}{\pi ( \sqrt[3]{\dfrac{1500}{\pi}} )^2}}[/tex]

[tex]\mathbf{h = \dfrac{3000}{\pi ({\dfrac{1500}{\pi}} )^{2/3}}}[/tex]

Thus, the radius and height that minimize the amount of material to be used in its construction are [tex]\mathbf{r = \sqrt[3]{\dfrac{1500}{\pi}} }[/tex] and [tex]\mathbf{h = \dfrac{3000}{\pi ({\dfrac{1500}{\pi}} )^{2/3}}}[/tex] respectively.

Learn more about minimizing the dimension of a cylinder here:

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Step-by-step explanation:

-2x - 5y = 16___(1)

2x - 3y = -16___(2)

(1) + (2) ==> -2x -5y = 16

(+) 2x -3y = -16

-8y = 0

y = 0/-8

y = 0

y=0 in (1)

(1)---> -2x-5y =16

-2x - 5(0) = 16

-2x - 0 = 16

-2x = 16

x = 16/-2

x = -8

x = -8 , y = 0

-5x + 2y = 11__(1) ; -3x + 4y = -13___(2)

multiply eqn(1) with 2

2 × (1) : -10x + 4y = 22___(3)

(3) - (2) :. -10x + 4y = 22

(-) -3x + 4y = -13

-7x = 35

x = 35/-7

x = -5

x=-5 in (1)

(1) : -5x + 2y = 11

-5(-5) + 2y = 11

25 + 2y = 11

2y = 11 - 25

2y = -14

y = -14/2

y = -7

x = -5 , y = -7

Using the z-distribution, considering the given data, the lower limit of the 98% confidence interval is of 0.5534.

The confidence interval is:

[tex]p - zs[/tex]

In which:

In this problem, the parameters are given as follows:

p = 0.6, z = 2.33, s = 0.02.

Hence, the lower limit of the 98% confidence interval is:

p - zs = 0.6 - 2.33 x 0.02 = 0.5534.

More can be learned about the z-distribution at https://brainly.com/question/25890103

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Answer:

The Median or The Mode

Step-by-step explanation:

I had the same question on a quiz and got it right

Answer:

the value of the expression will be 15.

Step-by-step explanation:

equation giver : 2x/6y

value of x given: 15

value of y given: 1/3

on putting the values in the equation,

2×15 / 6×1/3

= 30 / 6/3

on simplification,

= 30/2

= 15

therefore, the value of the expression will be 15

360 ÷ 100 = 3.6

[tex]\bf{\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace3.\emptyspace6\:\:\:\:\:\:\:\:\:\\ 100\overline{|\smallspace360.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace0\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace6\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace6\emptyspace0\emptyspace0}\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}}[/tex]

I hope it helps you...Salu2!!!!

Answer:

0.277778

Step-by-step explanation:

hope this helps also please don't cry everyone loves you

Answer:

13•5ft

Step-by-step explanation:

1cm = 4.5ft

3cm = x

cross multiply

x= 3×4•5

:- x = 13•5ft

The distance between the points (9, –6) and (–4, 7) will be 13√2. Then the correct option is C.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D² = (x - p)² + (y - q)²

The points are (9, –6) and (–4, 7). Then the distance will be

D² = (-4 - 9)² + (7 + 6)²

D² = 13² + 13²

D² = 169 + 169

D² = 338

D = √338

D = 13√2

Learn more about the distance between two points here:

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