Mathematics Middle School

2. Basketball Players:
Find the Measures of Center and Variability for Basketball Players Heights.
Mean:

Mode:

Median:

Range:


3. a. How many of the 10 basketball players are shorter than the tallest field hockey player?

b. List the heights that overlap in the dot plot?


Answers

Answer 1
2.Mean:72.1
Mode: 72
Median: 72
Range: 7
3a. 2 players
3b. 68, 69 inches

2. Adding all the heights together yields 721. divide it by the number of players (10) for the mean of 72.1. 
72 appears the most at 4 times so it is the mode.
The median with the values ordered 72 is the middle number.
The maximum of 75 minus the minimum of 68 gives a range of 7.

3a. there are two dots that are smaller then the tallest hockey player, b. those dots are at 68 and 69 inches in the dot plot

Related Questions

Round 5685 to the nearest 100

Answers

The nearest hundred would be mostly the numbers "685".. We know that anything 50 and greater rounds to the next number, so since 85 > 50, we can round that up to 700. Adding the 5000, it would be 5700

If f(x)=6x^3+5x,g(x)=3x^2+5,and h(x)=9x^2-8 what is the degree of f(g(h(x))) awer choices are a.2 b.3 3.7 4.12

Answers

To find f(g(h(x))), we need to find g(h(x)) first. To do that we are going to evaluate the function g(x) at h(x):
We know that [tex]h(x)=9x^2-8[/tex] and [tex]g(x)=3x^2+5[/tex]
[tex]g(h(x))=g(9x^2-8)=3(9x^2-8)^2+5[/tex]
[tex]=3(81x^4-144x^2+64)+5[/tex]
[tex]=243x^4-432x^2+192+5[/tex]
[tex]=243x^4-432x^2+197[/tex]

Now that we know that [tex]g(h(x))=243x^4-432x^2+197[/tex], to find [tex]f(g(h(x)))[/tex] we are going to evaluate [tex]f[/tex] at [tex]243x^4-432x^2+197[/tex]
[tex]f(g(h(x)))=f(243x^4-432x^2+197)[/tex]
[tex]f(243x^4-432x^2+197)=6(243x^4-432x^2+197)^3[/tex][tex]+5(243x^4-432x^2+197)[/tex]

[tex]=86093442x^{12}-459165024x^{10}+1025681130x^8-1228219200x^6[/tex][tex]+83152048x^4-301780944x^2+45873223[/tex]

Since the degree of a polynomial is the highest degree of its monomials, we can conclude that the degree of f(g(h(x))) is 12

Answer:

The degree is 12

Step-by-step explanation:

The average pay of employees is $399.44 per week at a local True Value Hardware store. Jay Miller earns $411.11 per week. How much is Jay's pay over the average?

Answers

The Answer is. $11.67
Final answer:

To calculate how much more Jay Miller's weekly salary is compared to the average, subtract the average weekly salary ($399.44) from Jay's weekly salary ($411.11). The difference is $11.67, which is how much Jay's weekly pay is over the average.

Explanation:

The question is asking us to calculate how much more Jay Miller's weekly salary is compared to the weekly average salary of employees at the local True Value Hardware store. The step-by-step process to solve this is very simple. Firstly, we will subtract the average weekly salary from Jay's weekly salary.

The average weekly salary is $399.44.Jay's weekly salary is $411.11.Subtract the average weekly salary from Jay's weekly salary:
$411.11 - $399.44 = $11.67

So, Jay's weekly pay is $11.67 over the average.

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what components make an ellipse an ellipse

Answers

All ellipses have two focal points or foci. All ellipses have a center and a major and minor axis
Final answer:

An ellipse is a curved shape characterized by two foci and a major axis, with every point on the ellipse being at a constant sum of distances from the foci. The eccentricity, which is the ratio of the distance between the foci to the length of the major axis, determines the 'roundness' of the ellipse. The ellipse can be constructed using the gardener's method to showcase this constant sum property.

Explanation:

An ellipse is a specific type of curve that is noticeably different from a circle in that it is elongated; it has two distinct foci instead of a single central point and a major axis that defines its longest diameter. The foci are two fixed points located within the ellipse such that the sum of the distances from any point on the ellipse to the two foci is constant. This consistent sum of distances is what gives an ellipse its characteristic shape. This property is often demonstrated by the 'gardener's method' of creating an ellipse by anchoring a string to two fixed points (the foci) and tracing a path with a marker keeping the string taut.

The eccentricity of an ellipse, which determines its 'roundness,' is the ratio of the distance between the two foci to the length of the major axis. If the foci are close together relative to the major axis, the ellipse will appear more circular; if they are further apart, the ellipse will be more stretched out. The major axis (2a) cuts the ellipse into two equal halves, and each half is referred to as the semimajor axis (a).

A crucial aspect of drawing an ellipse involves identifying the length of the major axis and the location of the two foci. Because these elements are so fundamental, an ellipse can be readily illustrated by the use of string and a couple of tacks representing the foci.

Please help is the answers is 6

Answers

The answer is A. Multiply by 3

Given a mean of 61.2 and a standard deviation of 21.4 what is the z score of the value 90 rounded to the nearest tenth?

Answers

Answer:

The z-score of 90 is 1.35

Step-by-step explanation:

The z-score is calculated using the formula:

[tex]z = \frac{x - \mu}{ \sigma} [/tex]

From the question, it was given that the mean is

[tex] \mu = 61.2[/tex]

and the standard deviation is

[tex] \sigma = 21.4[/tex]

and x=90.

We substitute the given values to obtain:

[tex]z = \frac{90 - 61.2}{21.4} [/tex]

[tex]z = \frac{28.8}{21.4} = 1.35[/tex]

Answer:

1.35

Step-by-step explanation:

What does volume mean

Answers

Volume is the amount of space inside a solid figure like a ball or a cube ect.

Hope this Helps!!
Volume is the amount of space an object has

PLEASE HELP!!!


Explain why the graph of quadratic function could not contain both a minimum vertex and maximum vertex at the same time.

Your explanation should be 3-4 sentences and include at least 6 of the following words.

-parabola
-U-shaped graph
-vertex
-minimum
-maximum
-Y-value of the vertex
-X-value of the vertex
-quadratic function

Answers

A parabola, a graph of a quadratic function, cannot have a maximum vertex and a minimum vertex at the same time because of the shape of the graph.  A parabola is a u-shaped graph.  The vertex of the parabola is the point where the u changes direction; if it was increasing, it starts to decrease, and if it was decreasing, it starts to increase.  Since a parabola only changes direction once, there will either be a minimum or a maximum, not both.

Answer:

アップダウンは世の常

クズ引いたって動じない

Step-by-step explanation:

Find the quotient: 744 ÷ 3.1
A) .024
B) 2.4
C) 24
D) 240

Answers

I think the answer is d)240
The answer is D) 240.

744 / 3.1 = 240
Check
3.1 * 240 = 744

744 = 744

Hope this helps you! (:
-Hamilton1757

Consider the attached diagram if the box weighs 100 N in what direction is the support force
A) up
B) down
C) left
D) right

Answers

The support force would be A) up.

There needs to be an equal amt of force exerted on the box from the bottom so that the box won't crash through the ground and into space. It needs to be kept on the ground by a force exerting upwards as gravity pulls it down.

Thomas lives in an apartment complex where all the mailboxes are together in one area. The dimensions of his individual mailbox are shown below.

Answers

To find the volume, multiply 5/12, 6/5, and 1/2.

5/12 * 6/5 = 30/60.

30/60 * 1/2 = 30/120

If you simplify this you get 1/4. 

The volume of the mailbox is 1/4, or 0.25.

The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x.

Answers

- Two angles that are complements of each other add to equal 90 degrees (they are complementary angles). 
- One angle measures x degrees.
- The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.

To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.

90 = x + (4x + 25)
90 = x + 4x + 25
90 = 5x + 25
65 = 5x
13 = x

If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.

4x + 25
4(13) + 25
52 + 25
77

Answer:
x = 13
m∠x = 77°

A number cube is rolled 360 times , and the results are recorded as follows : 96 ones , 31 twos , 49 threes , 76 fours , 45 fives , and 63 sixes . What is the experimental probability of rolling a 2 or a 3 ?

1. 0.16
2. 0.22
3. 0.37
4. 0.78

Answers

Total number of times rolled = 360

Total number of 2s and 3s = 31 + 49 = 80

P(2 or 3) = 80/360 = 2/9 = 0.22 (nearest hundredth)

Answer: 0.22

The experimental probability of rolling a 2 or a 3 would be 0.22

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

We are given that number cube is rolled 360 times , and the results are recorded as follows : 96 ones , 31 twos , 49 threes , 76 fours , 45 fives , and 63 sixes .

Total number of times rolled = 360

Total number of 2s and 3s = 31 + 49 = 80

P(2 or 3) = 80/360 = 2/9

P(2 or 3) = 0.22 (nearest hundredth)

The answer is: 0.22

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Determine the rate of change from the table of solutions.
Determine the y-intercept from the table.
Write the equation of the line.

x y
--------------------
-3 10
-2 7
-1 4
0 1
1 -2
2 -5

Please Help!!
Show your work please!
Will give brainliest!!

Answers

Pick two points at random so we can find the slope. I picked (0, 1) and (- 1, 4)

Slope = [tex] \frac{Y2 - Y1}{X2 - X1} [/tex]

(4 - 1) / (- 1 - 0)
3 / - 1
- 3 is the slope.

Now plug this into slope-intercept form y = mx + b

y = - 3x + b

Use either of the points to find the b variable

1 = - 3(0) + b
1 = 0 + b
1 = b

Your equation is y = - 3x + 1

Rate of change is the same as slope so your rate of change is - 3. 

The y-intercept is the "b" in slope-intercept form so your y-int is 1. 

I know how to solve number 4 but I’m having a hard time with 1,2,3,5,6

Answers

  Part 1)
angle b=112-------> by vertical angles
angle a+112=180-----> supplementary angles
angle a==180-112----> angle a=68
angle c=angle a-----> by vertical angles
angle c=68

the answer part 1) is

angle a=68°
angle b=112°
angle c=68°

part 2)
angle a+15+38=180-----> angle a=180-(15+38)----> angle a=127

the answer part 2) is
angle a=127°

part 3)
angle b=40-----> by vertical angles
angle d=70-----> by vertical angles
2*angle x+40+angle d=180----> 2*angle x=180-(40+70)
2*angle x=70------> angle x=35   
angle a=angle x-----> by vertical angles
angle a=35
angle c=angle x-----> by vertical angles
angle c=35

the answer part 3) is
angle a=35°
angle b=40°
angle c=35°
angle d=70°

Part 4)
angle a+70=90------> are complementary angles
angle a=90-70----> angle a=20
angle a+angle b=90----> are complementary angles
angle b=90-angle a----> 90-20-----> angle b=70
angle d=70 ------->  by vertical angles
angle d+angle e=180------>  supplementary angles
angle e=180-angle d----> angle e=180-70----> angle e=110
angle a+angle b+angle c+angle d=180
angle c=180-(20+70+70)----> angle c=20

the answer part 4) is
angle a=20°
angle b=70°
angle c=20°
angle d=70°
angle e=110°

Part 5)
angle a+90=180------> supplementary angles
angle a=180-90----> angle a=90
angle a +angle b=180----> supplementary angles
angle b=180-angle a----> angle b=180-90----> angle b=90
angle e=132-----> by vertical angles
angle d+132=180-----> supplementary angles
angle d=180-132----> angle d=48
angle c+138=180-----> supplementary angles
angle c=180-138----> angle c=42

the answer part 5) is
angle a=90°
angle b=90°
angle c=42°
angle d=48°
angle e=132°

part 6)
angle a+110=180------> supplementary angles
angle a=180-110----> angle a=70
angle c=25-----> by vertical angles
angle b+100+25=180----> angle b=180-(100+25)----> angle b=55

the answer Part 6) is
angle a=70°
angle b=55°
angle c=25°

Please help my answer is c, is this right!

Answers

I'm not sure how you got c but the way you would solve this is for every x on the line plot you would add that amount. You don't need to worry about 0 because 0 is nothing.
There are 3 X's at 1/4 so you would add 1/4+1/4+1/4=3/4. There are 2 X's at 1/2 so you would add 1/2+1/2=1. There are 2 X's at 3/4 so you would add 3/4+3/4=1.5. There is 1 X at 1 so it would just be 1. Then add all those together 3/4+1+1.5+1=4.25 or you could just add each X as you come across it on the number line like so:
[tex]0.25 + 0.25 + 0.25 + 0.5 + 0.5 + 0.75 + 0.75 + 1 = 4.25[/tex]

How would I set up the equation to find mRQS on this circle?

Answers

mRQS=360-mSR. or mRQS=31x+13...To solve the measure of the minor arc RQS you would use this... 31x+13+(6+18x/2. )=360.

what would be the cross section from a vertical slice of a hexagonal pyramid

Answers

A cross section is the shape you see when you make one slice through a solid. A solid can have many different cross sections depending on where you make the slice. Consider the following hexagonal pyramid. Cross sections perpendicular to the base and through the vertex will be triangles.


Hope this helps!! - xeyaba
A cross section is the 2D shape that is formed when a 3D object is cut, or sliced. If you cut a hexagonal prism vertically, the face of the side that is cut will form a rectangle.

a regular triangular pyramid has a slant height of 13 mm on a base Edge length of 8 in

Answers

one hundred and four

the difference between the product of 6 and a number and negative two times the number

Answers

Will equal 8 times that same number. This is because you have 6x and are subtracting -2x. Subtracting a negative is like adding a positive. 

please help me with this math question

Answers

If the two rectangles are similar, their sides must be proportional. We can figure this out by setting up a proportion. We need to make sure to match up the correct sides though. We know the two longer sides must match up, so 6 goes with 60, and 3 goes with 30:

3/6=30/60

If we reduce the fractions, we get:

1/2=1/2

Therefore, the rectangles are similar. One of them is just rotated.

Solve for r.
k=ar/p

a r=ka/p
b r=kap
c r=kp/a
d r=a/kp

Answers

solve for r by simplifying both sides of the equation, then isolating the variable.
[tex]r= \frac{kp}{a} [/tex]

hopefully i was of help, please mark brainly is possible

What is the value of x?

Enter your answer in the box.

x =

Answers

Hello!

A straight line measures to 180°

The angle that measures 134 and x make a straight line

180 = 134 + x

Subtract 134 from both sides

46 = x

The answer is 46°

Hope this helps!
Adjacent angles on a straight line sum up to 180.

x = 180 - 134 = 46°

Answer: 46°

George earns $455 per week. George recieves a 20% raise. How can george calculate his new weekly per rate?

Answers

There are two ways to calculate his new pay. Choose whichever is easier for you.

OPTION 1:
multiply current pay by 20%, then add the result to the current pay

Step 1:
multiply pay by 20% increase
=$455 * 20%
=$91 increase

Step 2:
add pay increase from step 1 to current pay rate

=$455 + $91
=$546 new weekly rate


OPTION 2:
multiply current pay by (1 + 20%)

=($455)(1 + 20%)
=(455)(1.20)
=$546 new weekly rate


ANSWER: His new weekly rate is $546 per week.

Hope this helps! :)

Luther won 12 of the last 20 video games he played.

Suppose Luther plays a total of 60 games with his friends over the next month. Predict how many of these games Luther will win.

Answers

36 games. 20x3 is 60 and 12x3 is 36

He counted 206 wheels and 170 pedals. How many bicycles and tricycles does he have.

Answers

bicycle has 2 wheels and 2 pedals
 tricycle has 3 wheels and 2 pedals

EQ 1 : 2b + 2t = 170 pedals

 EQ 2: 2b +3t = 206 wheels

subtract  EQ 1 from EQ 2

2b +3t = 206 - 2b + 2t = 170 = t=36

 there were 36 tricycles

36 x 2 = 72 pedals

170 pedals - 72 = 98 pedals left
98/2 = 49 bicycles

36 Tricycles and 49 bicycles




If 400 bricks measuring 81" by 31" are required to build a wall 42 ft. high, how long is the wall? feet.

Answers

let b bricks:

b= 400, let  H height and l length

Area = 81*31 or 6.75*2.58 = 17.44 ft²

b(17.44ft²)=Hl

400(17.44 ft²) =42 l

l= 6975/42 = 166.07 

so the length of the wall is 166 ft approximately as a whole number




what number should you subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38

Equation needed too!

Answers

The number you should subtract from the numerator (52367) and add to the denominator (47633) of the fraction 52367/47633 to obtain 17/38 after reducing is 21,458.

The equation is:

(52367 - 21458) / (47633 + 21458) = 17/38

To solve this problem, we need to find the number that, when subtracted from the numerator (52367) and added to the denominator (47633), will result in a fraction that reduces to 17/38.

Let's call this number x.

Step 1: Subtract x from the numerator and add x to the denominator.

(52367 - x) / (47633 + x)

Step 2: Set the resulting fraction equal to 17/38 and cross-multiply.

(52367 - x) / (47633 + x) = 17/38

(52367 - x) × 38 = 17 × (47633 + x)

Step 3: Solve for x.

1,990,946 - 38x = 810,761 + 17x

1,180,185 = 55x

x = 21,458

Therefore, the number you should subtract from the numerator (52367) and add to the denominator (47633) to obtain 17/38 after reducing is 21,458.

The equation representing this process is:

(52367 - 21458) / (47633 + 21458) = 17/38

The height of a model rocket is 4.5% of the height of the actual rocket. The model is 1.32m high. How high is the actual rocket? Please show your work.

Answers

1.32 meters = 4.5%x

x is the actual height of the rocket.

4.5% is really 0.045 (move the decimal place 2 times to the left).

1.32 = 0.045x
Divide both sides by 0.045.

x = 29.3

The height of the actual rocket is 29.3 meters.

To find the height of the actual rocket given the height of the model rocket, we can use the ratio between the two. By setting up and solving a simple equation, we can determine that the height of the actual rocket is 29.33 meters.

To find the height of the actual rocket, we need to start by determining the ratio between the height of the model rocket and the actual rocket. Given that the model rocket is 4.5% of the height of the actual rocket, we can use this ratio to solve for the height of the actual rocket.

Let's denote the height of the actual rocket as x. Since the model rocket is 4.5% (or 0.045) of the actual rocket's height, we can set up the equation:

0.045x = 1.32

To solve for x, we divide both sides of the equation by 0.045:

x = 1.32 / 0.045

Calculating this expression gives us the height of the actual rocket as 29.33 meters.

Kristen has 64 coins in her bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?

Answers

d= # of dimes
q= # of quarters

QUANTITY EQUATION:
d + q= 64

COST EQUATION:
0.10d + 0.25q= $9.25


STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2

(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40


STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q

Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40

0.15q= 2.85
divide both sides by 0.15

q= 19 quarters


STEP 3:
substitute q value in step 2 into either original equation to find d value

d + q= 64

d + 19= 64
subtract 19 from both sides

d= 45 dimes


CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25


ANSWER: There are 45 dimes and 19 quarters.

Hope this helps! :)
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