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lions [1.4K]
3 years ago
7

Given the following winning percentages of the teams in a league (for a single year) compute the within-season standard deviatio

n for the league. Team Season Winning Percentage 1 0.750 2 0.750 3 0.200 4 0.600 5 0.200 (a) 0.79 (b) 0.251 (x) 0.56 (d) 0.063
Mathematics
1 answer:
Masja [62]3 years ago
7 0

Answer:

(b) 0.251

Step-by-step explanation:

1. Standard deviation equation:

SD=\sqrt{\frac{\sum\limits^N_i {(x_{i}-X)^{2}  } }{N} }

Where X is the mean of the data, and N the amount of data. Then, N=5

2. Estimate the Mean:

X=\frac{0.750+0.750+0.200+0.600+0.200}{5}=\frac{2.5}{5}=0.5\\

3. Caclulate Standard deviation:

SD=\sqrt{\frac{{(0.750-0.500)^{2}+(0.750-0.500)^{2}+(0.200-0.500)^{2}+(0.600-0.500)^{2}+(0.200-0.500)^{2}  } }{5} }

SD=\sqrt{\frac{0.315}{5} }=\sqrt{0.063}\\SD=0.251

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lana [24]
7. The slope is the number with the x next to it, so it would be -6x

8. The y-Intercept is the number WITHOUT the x, in this case would be -5

9. You always want the equation to be in y = M(slope)x + b(y-intercept). Subtract 2x on both sides to get 4y = -2x + 12. Divide both sides by 4 to leave y by itself. That leaves us with y = -1/2 + 3

10. Same thing minus x on both sides to get -3y = -x + 6. And since you don’t want a negative y, you need to divide by a negative. Divide both sides by -3 to get y = 1/3 -2. When you divide a number by a negative, it changes the sign in front of the number.
Hope this helps!
5 0
3 years ago
Which of the following statements is false for an F distribution? ​ a. Degrees of freedom for the numerator can be smaller than
Darina [25.2K]

Answer:

A. True

B. True

C. True

D. False

Step-by-step explanation:

Option D is the only clear option that is false.

The S distribution is a statistical tool used to check the homogeneity of two independent estimates when studying population variance.

When using an F distribution, The ratio of the degree of freedom of the numerator to the denominator can be >1, = 1 or < 1.

This implies that degrees of freedom for the denominator can be smaller than the degrees of freedom for the numerator.

This makes option D false and hence the correct answer

5 0
3 years ago
Jenny drew a figure in art class. Does it have rotational symmetry? If yes, what is the angle of rotation.
Andrews [41]

Answer:

60°

Step-by-step explanation:

Jenny drew a figure in art school and the figure is shown in the attached diagram.  

The diagram is a regular hexagon and it has rotational symmetry.  

Two of its sides is placed parallel to the x-axis.

Therefore, by rotating 60° the adjacent sides will become parallel to the x-axis and the figure remains the same and symmetric with respect to the coordinate axes. (Answer)

6 0
3 years ago
Read 2 more answers
A given line has the equation 10x+2y=-2.
Iteru [2.4K]

The equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

If two lines are parallel then their slopes are equal.

We have the following line:

10x + 2y = -2\\2y = -10x-2\\y = -5x-1

Thus, the slope of the line is -5.

Therefore a parallel line is of the form:

y = -5x + b

We replace the point (0,12)

12 = -5 (0) + b\\12 = b

Finally, the equation is of the form:

y = -5x + 12

Answer:

5x + y = 12

8 0
3 years ago
At the car dealership, they keep the ratio
Mashutka [201]

Answer

13 2/9

Step-by-step explanation:

8:3 is the ratio which means that you multiply that (8x3) is 24 - 11 because 2/9/ 2+9 = 11 and 24-11 is 13 so there is your answer

7 0
3 years ago
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