The dot plots below show the scores for a group of students for two rounds of a quiz:
Round 1
2
4
5
3
Score
Round 2
: :
..
+
1
2
4
5
3
Score
Which of the following inferences can be made using the dot plots?
O The range of round 2 is greater than the round 1 range,
O Round 2 scores are higher than round 1 scores
O Round 1 scores are lower than round 2 scores
There is no overlap between the data.

Answer:

The height of the cylinder in 2x units

The area of the cylinder's base is not square units.

Step-by-step explanation:

Answer:

150 in^2

Step-by-step explanation:

The ends have the smallest surface area.  The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2

The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.

Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2

Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2

Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.

Height of a rectangular prism [tex]=4[/tex] inches

Width of a rectangular prism [tex]=9[/tex] inches

Length of a rectangular prism [tex]=3[/tex] inches

Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism

Therefore,

Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]

                                                           [tex]=2\left ( 36+27+12 \right )\\=150[/tex]

So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.

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Answer: x= 3/2 and y= 1/2

Step-by-step explanation:

Since both equations are equated to y, you just need to use substitution to create the equation below:

-x+2 = 3x-4

Solve the equation for x:

4x=6

x=6/4=3/2

Plug in x into any one of the given equations to find the value of y:

y=-x+2

y= - (3/2)+2

y= - (3/2)+4/2

y= 1/2

Hope this helps!

The solution to the system of equations will be x= 3/2 and y= 1/2.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The given equations are y=−x+2 and y=3x−4 ​to calculate the values of x and y using the substitution method.

Since both equations are equated to y, you just need to use substitution to create the equation below:

-x+2 = 3x-4

Solve the equation for x:

4x =6

x =6/4=3/2

Plug x into any one of the given equations to find the value of y:

y =-x+2

Solve for the value of y.

y = - (3/2)+2

y = - (3/2)+4/2

y = 1/2

Hence, the solution for the equation will be x= 3/2 and y= 1/2.

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Answer:

6²

Step-by-step explanation:

A number squared is a perfect square, thus

6² ← is a perfect square

Answer:

490,314

Step-by-step explanation:

This is a combinations problem.  The formula is n!/(n-r)!xr!

This is 23!/(23-8)!x8!=

23!/15!x8!=

19,769,460,480/40,320=

490,314

Using the combination formula, it is found that the classes can be chosen in 490,314 ways.

The order in which the classes are chosen is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 8 classes are chosen from a set of 23, hence:

[tex]C_{23,8} = \frac{23!}{8!(15)!} = 490314[/tex]

The classes can be chosen in 490,314 ways.

More can be learned about the combination formula at https://brainly.com/question/25821700

Answer:

radius is 12, diameter is 24

Step-by-step explanation:

it is a 15-12-9 triangle

Let’s see if I can help you :)!

With two points you can define a line.

So, the line parallel to s is q, which has these two pointS: (3,6) and (6,3)

There are different ways to get the line. For instance, this one:

Y = a*x+b

a = slope = difference_y/difference_x = (3-6)/(6-3) = -1,

y = -x + b,

Now use any point, say (3,6) to get b:

6 = -3+b-> b - 9.

Line is y = -x + 9,

It checks out in the other point: (6,3) —> 3 = -6+9 = 3. Good.

Other method:

y-y2 = a*(x-x2), where (x2,y2) is one of the two points and a is the slope as defined before.

Really hope this helped you!

Answer:

The answer is B

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

There would be four faces on the top, left, bottom, and right.  That equals 16.  (4x4)

There would also 1 on each end, so you have to add 2.  That equal 18.

This is assuming you paint the faces on the bottom.  If you didn’t, the answer would be 14.  (But it doesn’t say not to paint them.)

Answer:

31t 2,446 lb 2oz

Step-by-step explanation:

24t+7t=31t

1,507+938=2,445 lb

12 oz+6 oz=18 oz = 1 lb + 2oz (16 oz in a pound)

31t+2,445 lb+1 lb + 2oz=

31t 2,446 lb 2oz

Answer:

The first relation is not a function.

Step-by-step explanation:

If you see two points in which one is vertically above the other, then it is not a function. In other words, if in a relation, two points have the same x-coordinate and different y-coordinates, that relation is not a function. The only example in which this happens is the first graph.

The first relation is not a function.

Answer:

£398

Step-by-step explanation:

€530 = £0.75

530 x 0.75 = £397.50

You round this of to the nearest whole number:

£398

Answer:

1. Both forward and backward

2. Only forward

Step-by-step explanation:

    The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.

The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.

Answer:

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse. Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling. / Statement 2: If the sprinklers are on, then the grass is wet.

Step-by-step explanation:

Answer:

1). x = 10 m

2). x = 15 cm

3). x = 5 yd

4). AB = 10 units

Step-by-step explanation:

1). By Pythagoras theorem in the given triangle,

 a² + b² = c²

 Where 'c' = Hypotenuse

 a and b = Legs of the right triangle

 By substituting measures of the sides in the formula,

 x² = 8² + 6²

 x = [tex]\sqrt{100}[/tex]

 x = 10 m

2). By using Pythagoras theorem in this triangle,

  x² = 9² + (12)²

  x² = 81 + 144

  x = [tex]\sqrt{225}[/tex]

  x = 15 cm

3). By Pythagoras theorem,

  (13)² = x² + (12)²  

  169 = x² + 144

  169 - 144 = x²

  25 = x²

  x = 5 yd

4). If BD is a perpendicular bisector of AC,

  AD = CD = 6 cm

  By Pythagoras theorem in ΔABD,

  AB² = BD² + AD²

  AB² = 8² + 6²

  AB = [tex]\sqrt{100}[/tex]

  AB = 10 units

Answer:

E.  lower principal amount​

Step-by-step explanation:

We can use an example to show how this works:

You want to buy a car and it costs $20,000. The loan lasts 5 years (60 monthly payments) and the interest rate is 10%.

If you do not make any down payment, your initial principal will be $20,000, and your monthly payment will be $424.94, your total payments = $25,496.45 and the total interests = $5,496.45.

Instead, if you make a 20% down payment, your initial principal = $16,000,  and your monthly payment will be $339.95, your total payments = $20,397.16  and the total interests = $4,397.16.

Answer:

Answer:

Ok so im in 7thgrade so ima try to help answer is x= 8x9

Answer:

Below

Step-by-step explanation:

You could just graph the equation for the answers....

Here is algebraic method

 for Quadratic Equation  - 50p^2 +1700p - 12000

        the max profit occurs at p = - b/2a   = - 1700 / (2* -50) = 17 dollars

A ) 17 dollars

B)  use p =17 in the equation to find profit = 2450 dollars

C)    Set the equation = 0  and solve for p

     0 = -50p^2+1700p - 12 000

              Use Quadratic Formula with a = -50    b = 1700   c = 12000

                     to find price = 40 dollars

Answer:

The length of AB is 6

Step-by-step explanation:

Graph the question out.

Count from A to B

Answer:

81.1

Step-by-step explanation:

The formula to find the cirumference is C=πd

We know d=diameter

so.. C=25.8π

That's gives us 81.053

round it after to approximately 81.1

Answer:

find the equation to find a circumference of circle with that diameter

Step-by-step explanation:

google

Answer:

$112.50

Step-by-step explanation:

So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.

    So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer

Answer:

A) 90 degrees

B) 110 degrees

C) 78.5 in. sq.

D) 15.3 in. sq.

Step-by-step explanation:

A) 90 degrees by the two-tangent theorem

B) 360-90-90-70=110

C) A=pi r-squared

A=3.14x5x5

A=78.5

D) 70/360=0.1944

78.5x0.1944=15.3

Answer:

0.84+122.4x is your answer. hope this helped

Step-by-step explanation:

Answer:

can u please type out the photo is too dark to see the questions

Step-by-step explanation:

Answer:

Hope this helps

Step-by-step explanation:

For part A, we want two inequalities that have F and D as solutions, but none of the other points. The easiest way to do this is construct two lines that pass through the origin, and then figure out which way the inequalities need to face based on the points we want to include. Our lines will be:

The first line intersects F and the second line intersects D, so we need to figure out which way to point the inequalities so both include the point they do not intersect:

So our system is:

Part B: To verify, plug in the x and y values for D and F and verify that it creates true statements in the system.

Part C: You can plug in the different x, y values for the points. The points which create true statements identify farms where chickens can be raised, while those which create false statements cannot raise chickens.

=============================================

Work Shown:

a = 3 is the first term

r = 2 is the common ratio

Sn = a*(1-r^n)/(1-r) ... sum of the first n terms

S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms

S8 = 3*(-255)/(-1)

S8 = 765

----------

We can generate the first 8 terms to get 3, 6, 12, 24, 48, 96, 192, 384. Each new term is found by multiplying the previous one by 2.

Then add them up to get 3+6+12+24+48+96+192+384 = 765. We get the same result.

Answer: Answer: 765

Work Shown:

a = 3 is the first term

r = 2 is the common ratio

Sn = a*(1-r^n)/(1-r) ... sum of the first n terms

S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms

S8 = 3*(-255)/(-1)

S8 = 765

Answer:

1 surds

2 fraction

3 decimal

4 negative

5 positive

Answer:

C

Step-by-step explanation:

25*0.99 = 24.75

Answer:

C

Step-by-step explanation:

Im taking the test

Answer: i think the answer is 1.5

Step-by-step explanation:

Answer:

1 3/8 lbs.

Step-by-step explanation:

3 1/4 x 1/2 = 1 5/8

1 5/8-1/4=

1 5/8-2/8=

1 3/8

Answer:

The correct option is x = 12

Step-by-step explanation:

An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.

A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs

In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.

From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

The given curve represents a function which is defined for all value fo x except 12.

The following information can be extracted from the graph of the function;

Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

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