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adoni [48]
3 years ago
6

A sports club rewards teams based on overall points earned in a season. The data for points are shown in the table, where Low re

presents the fewest points scored and High represents the highest points scored by a single team member.
Team Low High Range Mean Median IQR σ
Team L 4 17 13 9.4 9 9.75 4.8
Team M 6 14 8 9.7 9.5 6.25 3.2
Team N 1 20 19 13 14.5 4.75 5.6


Part A: If the club wants to award the team that has the most consistent scoring among its team members, which team should it choose and why? Justify your answer mathematically. (5 points)

Part B: If the club wants to award the team with the highest average score, which team should it choose and why? Justify your answer mathematically. (5 points)
Mathematics
1 answer:
Kay [80]3 years ago
3 0
The team that should be awarded for consistent performance should be Team M. This is because the standard deviation of the team's players' scores is the lowest. Standard deviation is a measure of how much the individual data points vary from the average value, and for a consistent performance, this variation will be low.

The team with the highest average is Team N. The average is the same as the mean, and this is the highest for Team N, with a value of 13.
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Why do we divide by 4
Phantasy [73]
This kind of question would actually be very dependable. So, let's suppose that we would have a number as 16. We would then have to divide this number by 4, mainly because we would want to find how many 4's would go into the number 16. But this would actually be an example. So, whatever math problem you may have, just remember this technique, how many numbers would go into that specific number. 
5 0
3 years ago
Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)
Brums [2.3K]

▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪

Given :

f(x) =  {x}^{3}  + 2 {x}^{2}  + 3x + 1

g(x) = 4x - 5

let's solve for f(x) × g(x) :

( {x}^{3}  + 2x {}^{2}  + 3x + 1)(4x - 5)

4x {}^{4}  - 5 {x}^{3}  + 8 {x}^{3  }  - 10 {x}^{2}  + 12 {x}^{2}  - 15x + 4x - 5

4 {x}^{4}  + 3 {x}^{3}  + 2 {x}^{2}   - 11x - 5

therefore, correct choice is : D

8 0
3 years ago
Pls show work! questions on pic
Lena [83]

Answer:

a.(10,23)

b.(7,30)

e.(20,20)

Step-by-step explanation:

We are given that

x=Width of garden

y=Length of garden

According to question

x\geq 5

y\geq 20

Perimeter of rectangle=2(x+y)

Where x=Width  of rectangle

y=Length of rectangle

Fencing used =2(x+y)

2(x+y)\leq 80

First we change inequality  into equality

x=5...(1)

y=20...(2)

2(x+y)=80

x+y=40...(3)

Substitute x=0 in equation (3)

y=40

Substitute y=0  in equation (3)

x=40

Substitute x=0 and y=0 in equation (3)

2(x+y)\leq 80

0\leq 80

It is true. Therefore, the  shaded region below the line.

0\geq 5

0\geq 20

These are false equation .Therefore, the shaded region above the line.

Substitute x=5 in equation (3)

5+y=40

y=40-5=35

Substitute y=20 in equation (3)

x+20=40

x=40-20=20

Intersection point of equation (1) and (3) is (5,35) and intersect point of equation (2) and (3) is (20,20).

Now,

a.(10,23)

Substitute in

2(x+y)\leq 80

2(10+23)\leq 80

66\geq 80

10>5 and 23>20

it satisfied all inequality.

Hence, it is a solution.

b.(7,30)

7>5

30>20

2(7+30)=74

it satisfied all inequality.

Hence, it is a solution.

c.(18,25)

18>5

25>20

2(18+25)=86>80

It does not satisfied third inequality

Hence, it is not a solution.

d.(8,35)

8>5

35>20

2(8+35)=86>80

It does not satisfied third inequality

Hence, it is not a solution.

e.(20,20)

2(20+20)=80

20>5

20=20

it satisfied all inequality.

Hence, it is a solution.

4 0
3 years ago
A diver descends from an elevation of 6 feet below sea level to an elevation of 98 feet below sea level in 4 equal intervals.wha
Inessa [10]
Hmmm thats a tricky question
8 0
3 years ago
PLZ HELP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST What is the slope-intercept form of the equation of the line that passes
grigory [225]

Answer:

A.

Step-by-step explanation:

We are given the two points (2,7) and (4,-1).  In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope <em>m.</em> Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4

Thus, the slope is -4.

Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

y-y_1=m(x-x_1)

Where (x1, y1) is a coordinate pair and m is the slope.

Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15

This is also slope-intercept form. The answer is A.

7 0
3 years ago
Read 2 more answers
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