Two high school basketball players each played 5 games. Their stats are summarized below:

Player A: Stats on 5 games → mean points scored = 25, standard deviation = 4
Player B: Scored 23, 27, 28, 22, 25 points on 5 consecutive games

Suppose a university basketball scout (a person who finds new players for a university's team) is deciding which player to recruit. Who should they choose? Justify your response. [3 marks]

HINT: Compare mean and variance of each player.

Answers

Answer 1

Answer:

Player B.

Step-by-step explanation:

Player A has a mean score of 25.

Let's calculate Player B's mean score and compare it to Player A's.

23 + 27 + 28 + 22 + 25 / 5 = 125 / 5 = 25.

So, Player A and Player B have the same mean score.

This doesn't tell the scout which player is "better", so let's look at the variance.

The other statistic given for Player A is the standard deviation for their points. The given number is 4. Let’s calculate the standard deviation for Player B, and compare it to player A.

Recall that we add up the squares of the difference between each score and the mean, divide it by the total number of data, and square root that. So, the standard deviation for player B is sqrt(2^2 + 2^2 + 3^2 + 3^2 + 0^2 / 5) = sqrt (26/5) = sqrt (5.2) = 2.3.

Excellent. We have player A’s standard deviation, as well as player B’s standard of deviation. Since player B’s standard deviation is less than player A’s, it can be inferred that player B has more consistent results than player A, and the scout should get Player B.

Hope this helps!


Related Questions

which radical expression in the picture is equivalent to t^5/8?

Answers

Answer: Choice B

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

Explanation:

The rule we use is

[tex]\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m[/tex]

where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).

So for instance,

[tex]\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3[/tex]

or in this case,

[tex]\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5[/tex]

Evaluate 1/243 ( base must be 1/9)




PLEASE I NEED THIS FAST!

Answers

Answer:

(1/9)^2 x 1/3

Step-by-step explanation:

1/243

=> 1 / 3 x 3 x 3 x 3 x 3

=> 1 / 9 x 9 x 3

=> (1/9)^2 x 1/3

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

Answers

you can’t simplify it more than it is

Which ordered pair is the best estimate for the solution of this system of linear equations?
A.(-6, -2)
B.(-3, 2)
C. (4,-4)
D. (6,8)​

Answers

Answer:

B. (-3, 2)

Step-by-step explanation:



Which number best represents the slope of the graphed line?

A. -5
B. -1/5
C. 1/5
D. 5

Answers

Answer:

A. -5

Step-by-step explanation:

First of all this is a line that shows a negative slope.

Secondly, the formula for slope is rise/ run.

5 is your rise and 1 is your run, therefore: -5/1

And this can be reduced to :  -5

Find the coordinates of the midpoint for the pair of points below a) (2,5) , (8,9) b) (9,1) , (5,17)​

Answers

Answer:

a) (5,7) b) (7,9)

Step-by-step explanation:

Use the formula xmidpoint= (x1+x2)/2 ymidpoint= (y1+y2)/2

a) xm= (2+8)/2=5

ym=(5+9)/2=7

b) xm=(9+5)/2=7

   ym=(1+17)/2=9

PLEASER HELP WILL GIVE BRAINLIEST!

Answers

Answer:

$250

Step-by-step explanation:

the class width (just choose one of the rows, it could be the same) =>for example:the first row = $(749-500+1) = $250

What is the length of AC? B 3 ft 4 ft N O 3 ft O 4 ft O 18 ft M 6 ft O 12 ft A
please help​

Answers

Answer:18 ft

Step-by-step explanation:

Got it right on edg 2021

Cedric and Insha solved the same equation using the calculations below.

Cedric’s Work
Insha’s Work
z minus 4.5 = negative 1.5. z minus 4.5 + 4.5 = negative 1.5 + 4.5. z = 3.
z minus 4.5 = negative 1.5. z minus 4.5 + (negative 4.5) = negative 1.5 + (negative 4.5). z = negative 6.

Which statement is true about their work?

Answers

The first working out is correct, z = 3

why does an absolute value equation equal to zero only has 1 equation

Answers

Answer:

see below

Step-by-step explanation:

The reason why an absolute value equation equal to zero only has one solution

We set the absolute value equation equal to ± the solution

±0 = 0  There is only one value for ±0 which is 0, therefore there is only one solution

Find the value of x.

A. 176
B. 256
C. 74
D. 128

Answers

Answer: D

Step-by-step explanation: Using the angle formed by two chords theorem, angle X is equal to 1/2 times the sum of the degree measures of the two arcs.

The angle x will be equal to 128 degrees. The correct answer is option D.

What are the Angles of Intersecting Chords Theorem?

When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.

The angle x will be calculated as below:-

Angle x = Sum of angles made by two intersecting chords / 2

Angle x = ( 54 + 202 ) / 2

Angle x  = ( 256 / 2 )

Angle x  = 128 degrees

Therefore, the angle x will be equal to 128 degrees. The correct answer is option D.

To know more about the Intersecting Chords Theorem follow

https://brainly.com/question/23732231

#SPJ5

URGENT PLS HELP . pls put explanation as well. thank you:)

Answers

Answer:

The promoters profit would be $46,350 if they sell 850 tickets

Step-by-step explanation:

The value 61 is likely the cost of each ticket, and the value 5,500 is likely the amount the promoter spent in order to promote at the concert since it was being subtracted from his profits

Hope this helps :)

Mahmoud earns $450 per week plus a 20% commission as a car salesman. He wants his
hourly salary to be at least $35.

Answers

The inequality that relates the number of hours to the weekly sales is:

[tex]450 + 0.20x \ge 35y[/tex]

The complete question implies that we define an inequality that represents the relationship between the number of hours worked in a week and the weekly sales

We make use of the following representation:

[tex]x \to[/tex] weekly sales from cars.

[tex]y \to[/tex] hours worked in a week

His weekly salary is then calculated as:

Salary (S) = Earnings per week + Commission * Sales from car

So, we have:

[tex]S = 450 + 20\% * x[/tex]

Express percentage as decimal

[tex]S = 450 + 0.20* x[/tex]

[tex]S = 450 + 0.20x[/tex]

Assume he works for y hours in a week.

His hourly rate is:

[tex]Hourly = \frac{S}{y}[/tex] --- i.e. weekly salary divided by number of hours

[tex]Hourly = \frac{450 + 0.20x}{y}[/tex]

For this rate to be at least [tex]\$35[/tex], the following condition must be true

[tex]Hourly \ge 35[/tex] --- i.e. is hourly rate must be greater than or equal 35

So, we have:

[tex]\frac{450 + 0.20x}{y} \ge 35[/tex]

Multiply both sides by y

[tex]450 + 0.20x \ge 35y[/tex]

Learn more about inequality:

https://brainly.com/question/20383699

Express as -80/112 as a rational: numerator = -5​

Answers

Answer:

-80\112 = -5\7

we divided both numbers by 16

The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 49 cars of this model is chosen and found to have a mean gas mileage of 28.4 mi/gallon. Construct a 89% confidence interval for the mean gas mileage for this car model.

Answers

Answer:

The answer is "(27.030,29.770)"

Step-by-step explanation:

[tex](\bar{x}) = 28.4[/tex]

[tex](n)= 49[/tex]

[tex](\sigma) = 6[/tex]

[tex](CI) = \bar{x}\pm z^*_{\frac{\alpha}{2}} \frac{\sigma}{\sqrt{n}}[/tex]

[tex]z^*_{\frac{\alpha}{2}}\ for \ 89\%\ confidence = 1.598 \\\\\text{Using z table }\\\\ NORM.S.INV(1-\frac{(1-0.89)}{2})[/tex]

[tex]CI = 28.4 \pm 1.598 \times \frac{6}{\sqrt{49}}=(27.030,29.770)[/tex]

If the graph of f(x) = x^2, how will the graph be affected if it is changed to f(x) = 3r^2?

Answers

Answer:

the graph curve will goes above f(x)=x^2.f(x)=3*x^2 curve will also give higher value same value of x .

Step-by-step explanation:

Answer:

It vertically stretches the graph.

Explanation:

If you multiply the function by a constant , a ,
if a > 1 the graph will be stretched
If 0If a<0 there will be a combination of vertical stretch or compression with vertical reflection

Algebraic math question

Answers

Answer:

[tex] 7 \: {ft}^{2} [/tex]

Step-by-step explanation:

Area of the trapezoidal table

[tex] =\frac{1}{\cancel 2}(4 + 3)\times \cancel 2[/tex]

[tex] = 7 \: {ft}^{2} [/tex]

Answer:

7 ft squared

Step-by-step explanation:

Area of the trapezoidal table

Can someone help me out plz

Answers

Answer:

Around 59.69026

Step-by-step explanation:

C = Circumference (What we are looking for)

R = 9.5yd (Radius)

C = 2(Pie [I can't find the symbol])rC = 2(Pie)9.5C ≈ 59.69026

what is the decrease of a right angle pls help i suck at math NVM ITS 90

Answers

Answer: 90 degrees

Step-by-step explanation:

I’m very confused abt this question: Look at the pic for clarification.

Answers

Answer:

8A

Step-by-step explanation:

We are multiplying the matrix by a scalar

Each term in the first matrix is multiplied by 2

[tex]\left[\begin{array}{ccc}2l&2m&2n\\2p&2q&2r\\2s&2t&2u\end{array}\right][/tex]

Factor out 2

[tex]2\left[\begin{array}{ccc}l&m&n\\p&q&r\\s&t&u\end{array}\right][/tex]

We know that the determinant of a matrix when multiplied by a scalar is found by

det ( a A) =a^n * det (A)

The scalar in this case is 2  and n is the number of rows ( or columns) since the matrix must be square

 det (2A) = 2^3 det(A)  = 8A

Answer:

(A)

Step-by-step explanation:

Factor the 2 out and do 2/1=x/A

X=2A

Someone please help me solve this

Answers

1.4

2.3

3.7

solution 1

2+2+=4

solution 2

3

What is the equation of the line that passes through (-1, 5) and (3, -7)?

Answers

Answer:

[tex] 3x + y = 2 [/tex]

Step-by-step explanation:

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

[tex] y - 5 = \dfrac{-7 - 5}{3 - (-1)}(x - (-1)) [/tex]

[tex] y - 5 = \dfrac{-12}{4}(x + 1) [/tex]

[tex] y - 5 = -3(x + 1) [/tex]

[tex] y - 5 = -3x - 3 [/tex]

[tex] 3x + y = 2 [/tex]

so i have this problem for my credit recovery can anyone please help me Eight people were asked what the balance of their savings account at the beginning of the month was and how much it increased or decreased by the end of the month.

Create a scatter plot that represents the data that is shown in the table. The x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the savings account in hundreds of dollars.

Answers

Answer:

scatter plots are simply putting the data as a dot where it belongs based on in the situation the x-axis being balance in thousands and y axis for the change in savings account in hundreds.

Step-by-step explanation:

place a dot where each value given for each person x,y. it will look scattered.

just took the k12 test

Given the preimage and image,find the dilation scale factor.​

Answers

Answer:

The dilation scale factor is [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

The image is the dilated form of its preimage if and only if the following conditions are observed:

1) [tex]K' = \alpha_{1} \cdot K[/tex]

2) [tex]T' = \alpha_{2} \cdot T[/tex]

3) [tex]P' = \alpha_{3} \cdot P[/tex]

4) [tex]J' = \alpha_{4} \cdot J[/tex]

5) [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex]

If we know that [tex]K = (2, 0)[/tex], [tex]K' = (1, 0)[/tex], [tex]T = (3, 0)[/tex], [tex]T' = (1.5,0)[/tex], [tex]P = (1, 5)[/tex], [tex]P' = (0.5, 2.5)[/tex], [tex]J = (0, 3)[/tex] and [tex]J' = (0, 1.5)[/tex], then the coefficients are, respectively:

[tex]\alpha_{1} = \frac{1}{2}[/tex], [tex]\alpha_{2} = \frac{1}{2}[/tex], [tex]\alpha_{3} = \frac{1}{2}[/tex], [tex]\alpha_{4} = \frac{1}{2}[/tex]

As [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex], we conclude that the dilation scale factor applied in the preimage is equal to [tex]\frac{1}{2}[/tex].

complete the square x^2+45=-14x

Answers


2
+
4
5
=

1
4

x
2
+
45
=

14
x
x2+45=−14x

2
+
4
5


1
4

=
0

When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 7 seconds to complete the check-out process. If it takes 32 seconds to complete a transaction, how many products are being purchased?

Answers

32 - 7 = 25/5 = 5

so, we have 5 products being purchased, since the 7 sec check-out doesn't count as product time.

hope it helps :)

Answer:

5 items

Step-by-step explanation:

32 - 7 = 25

25 / 5 = 5

This means that 5 items are being purchased.

Hope it helps c:

Joe worked for three days. On the first day, he completed 1/2 of his work. On the second day, he completed 1/3 of the remaining work. What fraction of the work was left for the third day?​

Answers

Answer:

1/3

Step-by-step explanation:

first day work=1/2

work left=1-1/2=1/2

second day finished=1/3 ×1/2=1/6

work left =1/2-1/6=3/6-1/6=2/6=1/3

Find the missing side length in the image below

Answers

Answer:

Step-by-step explanation:

kendra is 3 times her dauters age plus 7 years kendra is 49 years old. write an equation to find he duaghters age?

Answers

Answer:

3x+ 7 =49

Step-by-step explanation:

49-7= 42

42 divided by 3 = 14

her daughter is 14 years old

I truly hope this helped, it makes sense to me. I wasn't sure whether or not you needed a more detailed equation, but that's one.

have a great day!

help me pleaseeeee!!!


Answers

Answer: A

Step-by-step explanation:

Using the distributive property, for the denominators, you get x^2+4x-5x-20. Combining like terms, 4x-5x is -1x. So x^2-x-20. -1x is the equivalent to -x because -1*x is -x. There is only one solution with this denominator, A. So there’s no need to figure out the numerator.

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