A teacher surveyed students about the number of hours they sleep each night. The results are shown in this table. Less than 8 hours
of Sleep 8 or More Hours
of Sleep
Boys 71 101
Girls 25 123
Are the P(Boys) and P(Less than 8 hours of Sleep) independent or dependent?

A.
Independent: P(B) = P(B|less than 8 hours)

B.
Independent: P(B) > P(less than 8 hours)

C.
Dependent: P(B) < P(B|less than 8 hours)

D.
Dependent: P(B) > P(B|less than 8 hours)

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x