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

Here are the fuel efficiencies (in mpg) of 8 new cars.
16, 42, 13, 27, 54, 13, 23, 31
What is the percentage of these cars with a fuel efficiency less than 27 mpg?

Answers

Answer:

4/8= 2/4=1/2= 50%

Step-by-step explanation:

4 out of the 8 new cars have a fuel efficiency of less than 27 mpg. that is is 50%

find the interior angle sum for the following polygon.​

Answers

We know that the interior angle sum of a polygon is (n − 2) × 180°, where n is the number of sides.

Here, number of sides (n) = 12

So, interior angle sum = (n − 2) × 180°

=> interior angle sum = (12 - 2) × 180°

=> interior angle sum = 10 × 180°

=> interior angle sum = 1800°

So, the interior angle sum of this polygon is 1800°.

Yeah uh I have no idea how to do this.....
Use exponent laws to simplify this :
9√(a^-5 b^2)

The answer is 9b / a^5/2 I just don't know how so please show steps! Thank you

Answers

Answer:

9b /a^5/2

Step-by-step explanation:

9√(a^-5 b^2)

9 sqrt( a^ -5 b^2)

Rewriting sqrt as ^1/2

9 ( a^ -5 b^2)^1/2

9 ( a^ -5) ^1/2 ( b^2)^1/2

we know that  an exponent to an exponent means multiply

9 a^ (-5*1/2)  b^(2*1/2)

9 a^-5/2 b^1

9b a^ -5/2

We know that x^-y = 1/x^y

9b /a^5/2

Answer:

[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex] should be the answer of the problem that you posted

if you try to solve using [tex]\sqrt{x}[/tex]    as as [tex]x^{\frac{1}{2} }[/tex]

then [tex](a^{-5)} ^{\frac{1}{2} } \\[/tex] =  [tex](a^{-5/2)}[/tex] = [tex]\frac{1}{a^{\frac{5}{2} } }[/tex]

[tex]\frac{1}{a^{\frac{5}{2} } }[/tex] * 9b = [tex]\frac{9b}{a^{\frac{5}{2 } } }[/tex]

Step-by-step explanation:

[tex]9 \sqrt{(a^-5 b^2)}[/tex]

[tex]x^{-1} = \frac{1}{x}[/tex]

[tex]a^{-5} = \frac{1}{a^{5} }[/tex]

[tex]\sqrt{b^{2} } = b[/tex]

[tex]a^{4}[/tex] a's can be removed from the radicle (one will be left in because you have a^5)

[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex]

13 + {16 + 2 -[25 + 45) x 3] + 9}

Answers

Answer: -170

Concept:

When encountering questions that require multiple steps of the calculation, it is suggested to follow the PEMDAS.

ParenthesisExponentsMultiplicationDivisionAdditionSubtraction

Solve:

**Disclaimer** I assume that it is supposed to be (25 + 45). If it was, then you may refer to my answer. If the ")" after 45 is just a typo, you may point it out and I will redo it.

Given expression

 13 + {16 + 2 - [(25 + 45) × 3] + 9}

Do the parenthesis of the inner most

=13 + {16 + 2 - [70 × 3] + 9}

=13 + {16 + 2 - 210 + 9}

Do addition first, then subtraction

=13 + {18 - 210 + 9}

=13 + {27 - 210}

=13 - 183

=-170

Hope this helps!! :)

Please let me know if you have any questions


A survey was taken of students in math classes to find out how many hours per day students spend
on social media. The survey results for the first., second-, and third-period classes are as follows:
First period: 2,4,3,1,0, 2, 1, 3, 1,4,9,2,4,3,0
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Third period: 4,5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1,3
Which is the best measure of center for second period and why? (5 points)
1. Mean, because there are no outliers that affect the center
2. Median, because there is 1 outlier that affects the center
3. Interquartile range, because there is 1 outlier that affects the center
4. Standard deviation, because there are no outliers that affect the center

Answers

Answer:

1. Mean, because there are no outliers that affect the center

Step-by-step explanation:

Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2

Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

The mean = ΣX / n

n = sample size, n = 15

Mean = 34 / 15 = 2.666

The median = 1/2(n+1)th term.

1/2(16)th term = 8th term.

The 8th term = 2

The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.

Both interquartile range and standard deviation are measures of spread and not measures of centre.

what is the domain of the function in the graph?

Answers

Answer:

6AJNSDJN

Step-by-step explanation:

I need help to find W =

Answers

Answer:

120

Step-by-step explanation:

Since the figures are similar the angles are the same

<A = <F

<B = <E

<C = <C

<D = <G

We know <G = 120 so angle D = 120

W = <D = 120

Answer:

w = 120 degrees

Step-by-step explanation:

ABCD and FECG are the same shapes, which means they also have the same angles.

∠A = ∠F

∠B = ∠E

∠C = ∠C

∠D = ∠G

∠G = 120°, so D = 120°

So, w = 120°

Simplify
(+8)-(-4)+(-5)​

Answers

Answer:

17

Step-by-step explanation:

8+4+5=17

Answer:

7

Step-by-step explanation:

(+8)-(-4)+(-5)

=8+4-5

=12-5

=7

Can someone please help me with this

Answers

Answer:

8.5 km

Step-by-step explanation:

The distance is given by sqrt(8^2+3^2)=sqrt(64+9)=sqrt(73)=8.5 km

cherly gets paid $8 per hour at her job at the record store. she made a total of $96 last week .write a multiplication equation to show how many hours she worked last week

Answers

Answer:

8(h)=96

Step-by-step explanation:

Remember when you are writing a multiplication equation, it's a division backwards.

96/8=h

h×8=96

hope this helps you

goodluck

Answer: 8x=96

Step-by-step explanation:

8X = 96

X = 96/8

X = 12 hours

the tub started with gallons of water

Answers

Answer:

huh?

Step-by-step explanation:

50 POINTS. For what value of the variable is the value of the expression is -3(2x+1) is 20 greater than the expression 8x+5? Please answer correctly, don't show your work, just give the correct answer.

Answers

-6x-3= 8x+25 just solve for x, then you get x=-2.

Answer:

my x is ;

x= -0.6205

this is because for the first equation to be equal to the second equation we need to multiply the second equation with 20

Find the solution to (-1)+5-(-6)-5=


Answers

Q) -1 + 5 - (-6) - 5 = ?

→ -1 + 5 + 6 - 5

→ {-1 + 5} + {6 - 5}

→ 4 + 1

→ 5 is the solution.

hope this helps! feel free to clarify

use the ratio of a 45-45-99 triangle to solve for the variables. ​

Answers

Answers:

[tex]a = 18\sqrt{2}[/tex]

[tex]b = 18[/tex]

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

Explanation:

For any 45-45-90 triangle, the two legs are the same length. We consider triangles like this to be isosceles. So we have b = 18 as the vertical leg because the horizontal leg is also 18 units long.

The hypotenuse of these types of triangles is always [tex]\sqrt{2}[/tex] times longer compared to the leg length. So the hypotenuse is [tex]a = 18\sqrt{2}[/tex]

As an alternative, you can use the pythagorean theorem to find the hypotenuse.

Whose perfect square should be added to the sum of the greatest three digit prime number and the smallest two-digit prime number, so that the resultant number is perfect square of 32? ​pls give me ans pls pls pls

Answers

Answer:

Step-by-step explanation:

Let y is the required number.

a/c to question,

y² + greatest three digit prime number + smallest two digit prime number = 32²

we know, greatest three digit prime number = 997

smallest two digit prime number = 11

now, y² + 997 + 11 = 32²

or, y² + 1008 = 1024

or, y² = 1024 - 1008

or, y² = 16

or, y = 4

hence, required number number is one digit even number e.g., y = 4

Hope this answer helps you :)

Have a great day

Mark brainliest

What is the value of x in the figure below? In this diagram, AABD ~ ACAD.
15
B
х
20

Answers

Answer:

E

Step-by-step explanation:

(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

15² = x × 20

225 = 20x ( divide both sides by 20 )

[tex]\frac{225}{20}[/tex] = x , that is

x = [tex]\frac{45}{4}[/tex] → E

The value of the x in the given triangle is 45/4.

What are similar triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.

Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.

we have,

CA / CB = CD / CA

15/20 = x/15

x = 15²/20

x = 225/20

x = 45/4

Hence, the value of the x in the given triangle is 45/4.

Learn more about similar triangles click;

https://brainly.com/question/14926756

#SPJ7

ram has got 3 children. what is the probability of his children being same sex​

Answers

Answer:

1/9

Step-by-step explanation:

1/9





...................

Un litro de leche de búfala equivale a 1.7 litros de leche de vaca. ¿si tengo 27 litros de leche de búfalo, a cuantos litros de leche de vaca equivaldría?

Answers

Answer:

Equivaldría a 45.9 litros de leche de vaca.

Step-by-step explanation:

Esta pregunta se resuelve por proporciones, usando una regla de tres.

Un litro de leche de búfala equivale a 1.7 litros de leche de vaca.

27 litros de leche de buffalo - x litros de leche de cava

1 - 1.7

Aplicando multiplicación cruzada :

[tex]x = 27*1.7 = 45.9[/tex]

Equivaldría a 45.9 litros de leche de vaca.

A farmer uses 1/3 of his land to grow corn and 1/4 to grow yams . What fraction of the land is left?

Answers

Answer:

7/12

Step-by-step explanation:

3*4=12. 4/12+3/12=7/12.

Answer:

5/12

Step-by-step explanation:

you find the common factor of 12, divide 12 by the denominator, multiply the numerator by that, add the new numerators, put it on the denominator of 12, subtract it from 12/12



H
and


G
are linear pairs. m
∠=40∘

H
=
40

. The measure of


G
is _________ degrees.

Answers

Answer:

G = 140

Step-by-step explanation:

Linear pairs add to 180

H+G = 180

40+G = 180

G = 180-40

G = 140

cho tam giác ABC có A(3;4), B(2;1), C(-1;-2). tìm điểm M nằm trên đường thẳng BC sao cho S ABC=3S ABM

Answers

Answer:

Step-by-step explanation:

Function g is the result of these transformations on the parent sine function:
-vertical stretch by a factor of 3
-horizontal shift left pi/2
-units vertical shift down 4 units
Below is the question from the Edmentum test :)

Answers

Answer:

g(x) = 3·sin(x + π/2) - 4

Step-by-step explanation:

The given (general form of a) sin function is g(x) = A·sin(x + C) + D

Where;

A = The amplitude (the vertical stretch) = 3

C = The phase shift, left = π/2

D = The vertical shift = 4 units down = -4

Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of A, C, and D to complete the equation modeling the function g, we get;

g(x) = 3·sin(x + π/2) - 4

What is the quotient? t +3 t +4 f+7t+12) 0 (t + 3)2 (t+4)2 1 (t-4) 1 (t + 3)?​

Answers

Answer:

1

-----

(t+4)^2

Step-by-step explanation:

(t+3)

------- ÷ (t^2+7t+12)

(t+4)

Copy dot flip

(t+3)         1

------- * --------------------

(t+4)      (t^2+7t+12)

Factor

(t+3)         1

------- * --------------------

(t+4)      (t+4)(t+3)

Cancel

1         1

------- * --------------------

(t+4)      (t+4)

1

-----

(t+4)^2

Answer:

answer is b

Step-by-step explanation:

Choose the complete predicate for the sentence below. My friend from school is going to a football game tomorrow. My friend My friend from school going to a football game tomorrow is going to a football game tomorrow

Answers

Answer:

The complete predicate is the following: "is going to a football game tomorrow."

Step-by-step explanation:

A sentence is spit into two main parts, the subject and the predicate. The subject is what the sentence is about and it typically occurs before the verb. Everything before the verb in this case would be the complete subject. What is left is the complete predicate. The complete predicate includes the verb and everything after it until the end of the sentence.

Answer:

The complete predicate is the following: "is going to a football game tomorrow."

Step-by-step explanation:

A sentence is spit into two main parts, the subject and the predicate. The subject is what the sentence is about and it typically occurs before the verb. Everything before the verb in this case would be the complete subject. What is left is the complete predicate. The complete predicate includes the verb and everything after it until the end of the sentence.

2/5 divided by 8/5 .......

Answers

Answer:

1/4

Step-by-step explanation:

2/5 divided by 8/5

Multiply 5 by 2 then 5 by 8

10/40

Simplify 10/40

10/40 = 1/4

Answer:

1/4

Step-by-step explanation:

2/5 divided by 8/5 is the same as 2/5 * 5/8. we cross out the same 5's to get 2/8. We simplify that to 1/4.

1/4 is our answer.

Eliana claims she has discovered a method for determining the general form equation of a line
The line Ax + By + C = 0 will always be perpendicular to the line Bx - Ay + C = 0.
Is Eliana's method reasonable? Explain why or why not?

Answers

Answer:

The answer is below

Step-by-step explanation:

The general form of a line is given by:

Ax + By + C = 0

The slope intercept form of a line is give by:

y = mx + b;

where m is the slope and b is the y intercept

Given a line with equation Ax + By + C = 0; the slope of the line can be gotten by representing in slope intercept form, hence it becomes:

By = -Ax - C

y = (-A/B)x - C/B

The slope is -A/B

For a line with equation Bx - Ay + C = 0:

Ay = Bx + C

y = (B/A)x + C/A

the slope is B/A

Two lines are said to be perpendicular if the product of the slopes is -1. Hence:

-A/B * B/A = -1; hence the two lines are perpendicular

Find the missing side lengths

Answers

Answer:

Download gauthmath it will help

Jesus loves u

a=4 and b=3•46 should be ur answer

have a awesome day don’t let anyone bring u down♥︎

7.2b + 6.5 > 4.8b – 8.1

Answers

Answer:

[tex]7.2b+6.5>4.8b-8.1[/tex]

Multiply both sides by 10

[tex]72b+65>48b-81[/tex]

Subtract both sides by 65

[tex]72b>48b-146[/tex]

Subtract both sides by 48b

[tex]24b>-146[/tex]

Divide both sides by 24

[tex]b>-\frac{73}{12}[/tex]

OAmalOHopeO

[tex]3x + 9 = 12[/tex]

Solve for x

Answers

Answer:

x=1

Step-by-step explanation:

3x+9 = 12

Subtract 9 from each side

3x+9-9=12-9

3x = 3

Divide by 3

3x/3 = 3/3

x=1

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x = 1[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\3x + 9 = 12\\-------------\\\rightarrow 3x + 9 - 9 = 12 - 9\\\\\rightarrow 3x = 3\\\\\rightarrow \frac{3x=3}{3}\\\\\rightarrow \boxed{x=1}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Deandra is doing her math homework. She completed the first 6 problems in 2 hours and the last 12 problems in 3 hours.

Which best describes Deandra’s rate for completing her homework?
Deandra completed the first 6 problems at a rate of 6 problems per hour and the last 12 at a rate of 2 problems per hour.
Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.
Deandra completed the first 6 problems at a rate of 2 problems per hour and the last 12 at a rate of 6 problems per hour.
Deandra completed the first 6 problems at a rate of 4 problems per hour and the last 12 at a rate of 3 problems per hour.

Answers

Answer:

Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.

Step-by-step explanation:

6 problems ÷ 2 hours = 3 problems per hour

12 problems ÷ 3 hours = 4 problems per hour

Answer B is the answer

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