The coach recorded the scores of nine different basketball players in their last game. ● The median number of points scored by these nine players was 13. ● The mean number of points scored by these nine players was 12. Part A: List 9 values that could represent this data set. Part B: A 10th basketball player on this team scored 12 points in the last game. If her score is added to this data set, how will the median and mean change? Explain your reasoning.

Answers

Answer 1

The values that could represent this data set include 5, 6, 9, 10, 12, 10, 4, 6, and 19.

How to calculate the mean?

It should be noted that a mean simply means the average of a set of numbers.

In this case, the values that could represent this data set include 5, 6, 9, 10, 12, 10, 4, 6, and 19. Therefore, the mean will be:

= (5 + 6 + 9 + 10 + 12 + 4 + 6 + 19)/9

= 81/9

= 9

When a 10th basketball player on this team scored 12 points in the last game, the new mean will be:

= (81 + 12)/10

= 93/10

= 9.3

Therefore, there's an increase in mean.

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Related Questions

What is the slope of the line that passes through the points (1,3) and (5, -2)?

Answers

Answer:  A. - 5/4

Step-by-step explanation:

m = y2-y1/x2-x1

m=3+2/1-5

m=5/-4

Given the function f(x)=4x+10 and g(x), which function has a greater slope?

Answers

The complete question is

"Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?

x g(x)

2 5

4 7

6 9

f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined."

The correct option from the given function are A; f(x) has a greater slope.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

The slope of a function in the form of y = mx + C is m,

So the slope in the function

f(x)=4x+10

m = 4

Now when you have a function but you only have a table to evaluate it, to calculate the slope

(p, q) = (4, 7)

(x, y) = (6, 9)

This means that:

[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{9-7}{6-4}\\\\m =1[/tex]

Now that we have both slopes, the slope of g(x) = 1 and the slope of f(x) =4,

Thus, f(x) has a greater slope than g(x).

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What is the simplified value of the expression below?

12.4 x (negative 6.3)
–78.12
–1.97
1.97
78.12

Answers

The simplified value of 12.4 x (negative 6.3) is -78.12

How to simplify the expression?

The expression is given as:

12.4 x (negative 6.3)

Rewrite properly as:

12.4 x (-6.3)

Evaluate the product using a calculator

-78.12

Hence, the simplified value of 12.4 x (negative 6.3) is -78.12

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what is the median of, 50, 30, 40, 10, 20, 80, 60, 90, 10, 30, 110, 70?

Answers

Answer:

45

Step-by-step explanation:

median is the middle number after arranging a set of numbers in ascending or descending order.

let's arrange the set of numbers above in ascending order

10, 10, 20, 30, 30, 40 50, 60, 70, 80, 90, 110

since there are 12 digits in total, count out five digits starting from extreme left and also count out five digits starting from extreme right.

the two numbers left in the middle are 40 and 50.

median 40+50/2 = 90/2= 45

If you place a 39-foot ladder against the top of a building and the bottom of the ladder is 33 feet from the building how tall is the building?

Answers

Answer:

Formulate

Based on the given conditions, formulate:

[tex] \sqrt{3 {9}^{2} } - 3 {3}^{2} [/tex]

Evaluate

Evaluate the equation/expression:

20.78461

SO THE ANSWER IS 20.78461

Answer:

20.78 feet

Step-by-step explanation:

[tex]39^{2} =h^{2} +33^{2} \\1521= h^{2} +1089\\h^{2}= 1521-1089\\h^{2} =432h= 20.78[/tex]

A six-sided number cube is rolled and the proportion of 3s is calculated. The graph shows the long-run relative frequency of 100 rolls of this die. A graph titled proportion of threes has frequency on the x-axis, and probability on the y-axis. The graph increases, and then stays steady around y = 0.17. Which conclusion can be drawn from this graph? There is a 20% chance of rolling a 3 with this die. The long-run frequency of rolling a 3 appears to be about 0.17. Because the probabilities on the left part of the graph fluctuate so much, we cannot conclude that this is a fair number cube. This number cube must be fair because each outcome of rolling a 1, 2, 3, 4, 5, or 6 has the same probability of occurring.

Answers

The conclusion that can be drawn from this graph on the long-run frequency of 100 rolls is The long-run frequency of rolling a 3 appears to be about 0.17.

What does the graph show?

At the 0.17 probability, the proportion of 3s calculated levels off from around the 40th roll to the 100th roll.

This means that the long-run frequency of rolling a 3 is around 0.17 because this was the probability seen for most of the rolls over time.

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The function h = -16t² + 1000 gives an object's height, h, in feet at t seconds.
When will the object be 128 feet above the ground?
At approximately___
seconds.

Answers

The answer will be 1.59 hope it help

consider the given figure

Answers

Step-by-step explanation:

mark me brainlist please!!

the answer is A

what is the answer to 54785 plus 43543546546546

Answers

43543546601331 is the answer

There are 13 different bags of candy for a party. Susan randomly selects 7 bags. How many different combinations are there?​

Answers

There are 1716 different combinations of the bags

How to determine the number of combination?

The given parameters are:

Total, n = 13

Bags to select, r = 7

The number of combination is calculated using:

[tex]Total = ^{13}C_7[/tex]

Evaluate the combination expression

Total = 1716

Hence, there are 1716 different combinations

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Answer: 1716 different combinations of the bags

Step-by-step explanation:

Write an inequality for which 3, -4 and 2,300 are solutions ​

Answers

Answer:

2x < 600

Step-by-step explanation:

Which cross-sectional shapes do you find the most surprising? Explain why.

Answers

By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising.

The cross-section of a three-dimensional object?

In this exercise, you're required to use an online tool to investigate and determine the cross-sections of three-dimensional objects such as pyramids, cylinders, cones, etc., by passing different planes through them.

By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising because rotating the slice around Y produced a circular curve that transitioned into a parabolic curve.

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rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.Her friend ronan's house is due north of her house. Adter showing he new scooter she went to library which is due west from ronaks house.while returning back she drove 17km diagonally to her house find distance between rhea and her friends house. How far is the library from ronaks house.
(Urgent!!)

Answers

The distance between rhea and her friend's house could be 8 km and The distance of the library from the rocks house could be 15 km.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.

Her friend Ronan's house is due north of her house.

After showing him the new scooter she went to the library which is due west from rocks house.

while returning back she drove 17km diagonally to her house.

By Pythagoras' theorem

|AC|^2 = |AB|^2 + |BC|^2    

Here we can assume that

AB = The distance between rhea and her friend's house.

BC = The distance of the library from rocks house.

The triplet of the 17 would be (8, 15, 17)

So, we can say that the AB could be 8 km and BC could be 15 km or vice versa.

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The students in Dale's grade voted to select a guest speaker. 3 students voted for a famous
athlete. The other 22 students in Dale's grade voted for a famous actor. What percentage of
the students voted for the athlete?

Answers

Answer:

12

Step-by-step explanation:

3/(22 + 3) voted for athelete

multiply everything by 4 to get fraction over 100

12/(88 + 12) voted for athelete

that means 12 percent voted for athelete

Which type of angle is < 3 ?

Answers

Answer: C

Step-by-step explanation:

See attached image.

A map of sweden shows a scale of 5 cm = 16 km. if the distance between knivsta and stockholm is 17.2 cm on the map how many km is it?

Answers

Answer:

55.04 km

Step-by-step explanation:

17.2 cm / 5 cm = 3.44

16 km x 3.44 = 55.04 km

You could also solve in this fashion:

[tex]\frac{5}{16}[/tex] = [tex]\frac{17.2}{x}[/tex]

16 x 17.2 = 5x

Multiply 16 x 17.2 = 275.20

Divide the 275.20 by 5 = 55.04

A quadrilateral has rotational symmetry of order 2 and no line of symmetry. What is the name of this quadrilateral?
a. square
b. rectangle
c. parallelogram
d. rhombus​

Answers

Answer:

c

Step-by-step explanation:

paralallegram can be anything  with parrell lines

Answer:

C

Step-by-step explanation:

A quadrilateral has rotational symmetry of order 2 and no line of symmetry.

A parallelogram has no lines of symmetry because it is impossible to draw a line through the center of any parallelogram that divides the figure into two equal halves that are mirror images of each other.

The Algebra Club has decided to rent a convention center for their annual Algebra Gala. The cost for the rental will be split evenly among the attendees, which means that the price per person varies inversely with the number of people attending.

If 25 people attend, the cost will be $30 per person.

How many people would need to attend to get the cost under $20 per person?

A) 28
B) 38
C) 48
D) 58​

Answers

B (25*30=750)
(750/20=37.5) and since people are counted round to the nearest whole number so at least 38 people must attend for the price to be under $20

is negative 108.8 rational?

Answers

The number -108.8 is a rational number

How to determine if the number is rational?

The number is given as:

negative 108.8

Rewrite properly as:

-108.8

Rational number have terminating decimals, and they can be represented as fractions.

The fraction equivalent of -108.8 is -1088/10

Hence, the number -108.8 is a rational number

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Use ruler and compasses to bisect line AB.

Answers

Step-by-step explanation:

open ur compass more than half of the line and draw arc from both end. connect the line from 2 point of from the two arc

Consider the expressions 7y + 5 − 3 and 7y + 2. Which statement is true?

Answers

The two expressions are equivalent because they have the same value regardless of the number of substituted in for y

The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, StartRoot negative x EndRoot, is not necessarily undefined and what this means about the domain and range of f(x) = StartRoot negative x EndRoot.

Answers

Part A

The reason why the (√(-x)) is not necessarily undefined, is because x is a placeholder, such that x can take on a negative value for which  (-x) is a positive number, therefore, √(-x) = √(+ve number) is a defined real number.

Part B

The domain is x ≤ 0

The range is f(x) ≥ 0

What is Real Number?

A real number is a value of a continuous quantity that can represent a distance along a line.

Here, The given and required information:

Given that √(-144) = Undefined, why is √(-x) not necessarily undefined

The given function, f(x) = √(-x)

Part A

The square root of a real number with a negative value is an imaginary number

The square root of a real number with a positive value or zero, is a real number

√(144) = ±12

A variable, x, is an input value of a function that is a quantity place holder in the function which is a function argument

The given function is f(x) = √(-x)

Where;

x = An argument of the function

When x ≤ 0, such that x is a negative real number or zero, we have;

x = R⁻ or 0

Therefore;

-x= -R⁻ or 0 = R⁺ or 0

-x = R⁺

From which we get;

f(-x)= √(-x) = √(R⁺) = Defined

f(-x) = √(R⁺) ≥ 0 The range of the function is f(x) ≥ 0

An example, when x = -16, we have;

-x = -(-16) = 16

√(-x) √(16) = 4 (Defined)

Part B;

Thee domain where the function is defined is where x = -R⁻,  x ≤ 0

The output of the function f(x) is defined which is the range = f(x) ≥ 0

Thus, the reason why the √(-x) is not  necessarily undefined, is because the value of x can represent a negative real number or zero.

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Answer:

If x is a negative number, then negative x is a positive number and the square root can be determined. Therefore, the domain of the function is x ≤ 0.  As a result, the range is never negative either, so it is y ≥0.

Step-by-step explanation:

answer on edge

A cylindrical cup is 15 centimeters in height. When filled to the very top, it holds 450 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth? Explain or show your reasoning.

Answers

Answer:

The radius of the cup is 3.1 cm.

Step-by-step explanation:

First, we the volume of a right cylinder is [tex]V = πr^{2} h[/tex].

V = volume of the cylinder[tex]π[/tex] = pir = radius of the cylinderh = height of the cylinder

Now, using the information that was given to us, we can plug what we know into the equation: [tex]450=πr^{2}(15)[/tex].

From here, we simply solve for r by isolating it to find the radius. *Remember, what we do to one side we must do to the other.

Divide both sides by 15 to cancel it out on the right: [tex]30=πr^{2}[/tex]Divide both sides by pi to cancel it out on the right: [tex]9.549296586=r^{2}[/tex] (do not round until you have your final answer)Square root both sides to cancel out the exponent on the right: [tex]3.090193616=r[/tex]Round to the nearest tenth to get [tex]r=3.1[/tex]

Question 19 of 25
5x
x²-11x
= 1. Solve for x.
4
O A. X = 16
OB. x= 3
O C. x = 6
OD. x = 22

Answers

Quadratic equations are equation that has degree of 3. The value of x from the quadratic equation is 3

Factorizing the quadratic equation

Quadratic equations are equation that has degree of 3. Given the following equation;

5x²-11x = 1

Equate to zero

5x²-11x - 1 = 0

Find the solution using quadratic solution

[tex]x=\frac{11\pm\sqrt{121-4(5)(-1)}}{2(5)}\\x=\frac{11\pm\sqrt{141} }{10} \\x=\frac{11\pm11.87 }{10} \\x=\frac{22.87}{18}\\ x\approx 3[/tex]

Hence the value of x from the quadratic equation is 3

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Which statements are true about the solution 2< x -7


First one to give CORRECT answer within 5 minutes gets-

12 points
Brainlist

Answers

Answers:

x > 9

Graph has open circle

Arrow points to the right

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

Reason:

Add 7 to both sides to go from the original inequality to 9 < x, which is the same as x > 9

The graph will involve an open circle at 9. We don't include this endpoint because there isn't "or equal to" in the inequality sign.

We shade to the right due to the "greater than"

This visually shows all values larger than 9.

Mike pays $285 in rent every week.
How much will he pay in rent for the entire year?

Answers

Answer:

14,820

Step-by-step explanation:

A year has 52 weeks. 285 x 52 = 14820

Answer:

$14820

Step-by-step explanation:

There are 52 weeks in a year. Therefore 285 x 52 = 14820

Please help, sigma notations please big project 100 points

Answers

Answer:

I believe the answer is: [tex]3B_i[/tex]. (Your equation should look something like this: [tex]\sum _{i=3}^5\:B_{\left(i\right)}[/tex] )

Step-by-step explanation:

[tex]1. \sum _{i=3}^5=\sum _{i=1}^5-\sum _{i=1}[/tex]

2.[tex]=\sum _{i=1}^5B_{\left(i\right)}-\sum _{i=1}^2B_{\left(i\right)}[/tex]

3.=[tex]=\sum _{i=1}^5B_{\left(i\right)}= 5B_{\left(i\right)[/tex]

4.[tex]\sum _{i=1}^2B_{\left(i\right)}= 2B_{\left(i\right)[/tex]

5.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}[/tex]

6.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}=3B_{\left(i\right)}[/tex]

7. The answer should be: [tex]3B_{\left(i\right)}[/tex]

Hope this helps...

Katherine is landscaping her home with juniper trees and pansies. She wants to arrange 15 pansies around each of 8 trees. Each tree costs $20.75 and a six-pack of pansies costs $2.50. Explain how to write an expression to find Katherine’s final cost.

Answers

The mathematical expression that Katherine requires to know the price of the objects that she is going to buy is 8 * ($20.75) + 120 * ($5/12) = $216

How to write an expression for this procedure?

To find a mathematical expression for this procedure we must take into account the values that we know.

For example, we know that it requires 15 pansies for each tree. This can be expressed like this:

15 * 8 = 120 pansies.

On the other hand, we must calculate the price of each tree and the pansies that are going to be used to surround each one as shown below.

Cost of trees = 8 * $20.75Pansies Cost = 15 * ($5/12)

According to the above, the final expression, in which all the necessary data for Katherine is included, is:

8 * ($20.75) + 120 * ($5/12) = $216

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Answer:

Answer From Edge 2023

Step-by-step explanation:

The total cost of the trees must be added to the total cost of the pansies. The tree cost is the cost of one tree times eight. The pansy cost is the cost for 15 pansies multiplied by 8 trees, then divided by the number of pansies in a pack: 20.75(8) + 2.50(15)(8) ÷ 6.

The number of slugs in a garden t days from now is p, where
Po= 100
Pt+1= 1.06pt
ork out the number of slugs in the garden 3 days from now.

Answers

Answer:

..........

..........

....

x

i

an

Answer:

119.1

Step-by-step explanation:

Pt+1=1.06x100

P3=106^3x100

=119.1016

4.9t+0.3=5.6t+0.72 I need help on my work lol

Answers

The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal.  Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this.  What is given to us to accomplish that goal is the expression [tex]4.9t+0.3=5.6t+0.72[/tex].

Now that we have completed that step, we can move onto the next part which is actually solving the problem.  The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.

Subtract 4.9t from both sides

[tex]4.9t+0.3=5.6t+0.72[/tex][tex](4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72[/tex][tex]0.3=(5.6t-4.9t)+0.72[/tex][tex]0.3=(0.7t)+0.72[/tex]

Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.

Subtract 0.72 from both sides

[tex]0.3=0.7t+0.72[/tex][tex]0.3 - 0.72=0.7t+0.72 - 0.72[/tex][tex]0.3 - 0.72=0.7t[/tex][tex]-0.42=0.7t[/tex]

The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42

Divide both sides by 0.7

[tex]-0.42=0.7t[/tex][tex]\frac{-0.42}{0.7}=\frac{0.7t}{0.7}[/tex][tex]\frac{-0.42}{0.7}=t[/tex][tex]-0.6=t[/tex]

Therefore, after fully narrowing down the solution we were able to determine that the solution of the unknown variable or t is equal to -0.6

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Convert 7.50 mol of LiO to grams If f(x) = (1/9)(9*), what is f(3)? A. 729 B. 81 C.1/729 D.1/81 Combine the radicals [tex]9\sqrt{x} -3\sqrt{x} \\[/tex] 5: Why is it important that both the President and Congress work together to make the US Federal budget?*1 pointThey do not, for the President creates and enforces the budget aloneBecause they work together very easily and can get it done quicklyBecause they make sure that the government never shuts down because of political disagreementsBecause they represent the American people in different ways, and the budget is the plan of how the Federal government will collect and spend the American peoples taxpayer dollars6:How does government borrowing impact the US economy?*1 pointIt allows the Federal government to pay for things even when the government has a deficit, which increases the public debtIt allows the Federal government to gain a surplus for the fiscal year, which means more Americans have more money to spendIt allows the Federal government to not rely on taxpayer dollarsIt has no impact on the US economy7:To help the failing car making industry, the US Government decides to get rid of regulations that control how much pollution a car is allowed to produce, which makes it cheaper to make cars and allows car companies to make more money. The hope is this will lead car companies to make more and cheaper cars. This is an example of:*1 pointDemand Side EconomicsCommand EconomySupply Side EconomicsFiscal Policy Suppose the scores of seven members of a womens golf team are 68, 62, 60, 64, 70, 66, and 72. Find the mean, median, and midrange.a.Mean = 64, median = 64, midrange = 64b.Mean = 65, median = 64, midrange = 66c.Mean = 66, median = 77, midrange = 65d.Mean = 66, median = 66, midrange = 66Please select the best answer from the choices providedABCD How does Seaver describe her experience as an old woman living in a nursing home? Which of the following limited topics would be appropriate for a short paper?ANSWER CHOICES soccer skillshow mia hamm revolutioniezed soccersoccer in england Which is a coefficient in the expression below?(r 2) + s(10 t) How is the ocean very different from all other habitats El parmetro a de una distribucin exponencial cumple quePregunta 7 opciones:a = 0a < 0a 0a > 0 Question 4 of 12How did Africa's economy change as a result of European imperialism in thelate 19th century? What did Lincoln want to bring the south back into the union Which of these is true about analog signals?1. They can capture the entire sound wave when a song is recorded on a vinyl record, resulting in a Fuller and more accurate representation of the original song.2. A vinyl record (analog) can hold more information than a CD (digital)3. The sound quality does not degrade when copying a vinyl record (analog) like it does for CD (digital)PLEASE HELP LOL, I NEED TO SUBMIT THIS BEFOFE MY SCHOOL YEAR ENDS -_- Pangaea began to split apart, leading to massive volcanism and a runaway green house effect. What was one effect of these global catastrophies? 9. A computer chip manufacturer knows that 72% of the chips produced are defective.Suppose 3000 chips are produced every hour, what is the probability that exactly 800chips are acceptable? Compare the results of using the binomial distributions withthose found using the normal approximation. Estimate the quotient of 21.49 3.76 using compatible numbers. Necesito las respuestas Help!!Culture is a way of life for a group ofpeople, and it includesA. beliefsB. written languageC. family systemsD. all of the above Suppose that 0.25M IBr in a flask is allowed to reach equilibrium at 150oC. The equilibrium concentration of Br2 is 0.013 M. Determine the Kc at this temperature. 2IBr(g) I(g) + Br(g) Did Thomas Jefferson's promise States rights