Answer:
Step-by-step explanation:
Total = 50
Males = 20
Females = 30
a) P(exactly 1 female) = P(1 female , 2 male)
(30C1 * 20C2) / (50C3) = 30*190/19,600 = 0.2908
b) P(at least 2 males) = 1 - (P(0 males) + P(1 males))
= 1 - 30C3 * 20C0/50C3 - 30C2 * 20C1/50C3
= 1 - 4060*1/19,600 - 435*20/19,600 = 6840/19600 = 0.3489
Using logarithms property of log(x)+log(y)=log(xy)
so here, you can sum the equation to;
so you can simply say that;
and by multiplying (x+6)*(x-6)
and as you know also that;
is same as
so you can simply state it as;
And you can check your work by substituting with 10 instead of x in the original function.
Hope this helps!
The slope of a line that is perpendicular to another line is the negative reciprocal of the other.
In this case, we know that the slope of the given equation is 2.
Since we're solving for a line perpendicular to it, we simply find the reciprocal of the 2 (It turns into 1/2) and make it negative.
y = -1/2x + b
Since the given states that the new y-intercept is 10, input it into 'b'.
y = -1/2x + 10
If you'd like me to explain anything I did here, just ask :)
-T.B.