Mathematics, 10.11.2019 20:31, valeriam24

The national football league (nfl) polls fans to develop a rating for each football game. each game is rated on a scale from 0 (forgettable) to 100 (memorable). the fan ratings for a random sample of 12 games follow. 57 61 87 74 72 73 19 56 81 79 83 75 a. develop a point estimate of mean fan rating for the population of nfl games (to 2 decimals). b. develop a point estimate of the standard deviation for the population of nfl games (to 4 decimals).

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answered: dollaass17

a. The estimate of mean fan rating for the population of NFL games=68.08

b. The estimate of standard deviation=18.8785

Step-by-step explanation:

Given

The fan ratings for a random sample of 12 games follow:

57, 61, 87,74,72,73,19,56,81,79,83 and 75

a.Mean = $\frac{ sum\;of\;data}{ total\;number \; of data}$

Mean= $\frac{57+61+87+74+72+73+19+56+81+79+83+75}{12}$

Mean= 68.08

b. $\mid x-\bar x\mid$ ${\mid x-\bar x\mid}^2$

11.08 122.7664

7.08 50.1264

18.92 357.9664

5.92 35.0464

3.92 15.3664

4.92 72.6192

49.08 2408.8464

12.08 145.9264

12.92 166.9264

10.92 119.2464

14.92 734.064

6.92 47.8864

Standard deviation= ${\sqrt\frac{\sum{\mid x-\bar x\mid}^2}{n}$

n=12

$\sum{\mid x-\bar x\mid}^2=4276.7872$

Standard deviation= $\sqrt\frac{4276.7872}{12}$

Standard deviation= $\sqrt{356.3989}$

Standard deviation = 18.8785

The estimate of the standard deviation for the population of NFL games=18.8785

answered: Guest

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45

answered: Guest

solution:

the given function is ,

$f(x) = 4 x^3 - 72 x^2 + 320 x,$

= $4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)]$

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

$f(x) = a x^3+ b x^2 + c x+d,$

sum of the roots = a + b +c= 0+8+10=18= $\frac{-b}{a}$

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 = $\frac{c}{a}$

product of roots = a b c = 0= $\frac{d}{a}$

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function $f(x) = 4 x^3 - 72 x^2 + 320 x,$ is given by entry and exit route of this hall.

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The national football league (nfl) polls fans to develop a rating for each football game. each game...