For an analysis of variance, if the between-group estimate of the population variance is 30, and the within-group estimate is 25, then the f ratio

1.2

Step-by-step explanation:

We have given the variance between - group estimate is = 30

And the variance within - group estimate is =25

Now we have to calculate the F ratio

F ratio is defined as the ratio of variance between the group and variance within the group

So F ratio

So for the given variance F ratio will be 1.2

answer for #1 is c

answer for #2 is d

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x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15