Answer:Check the attached
Step-by-step explanation:
Step-by-step explanation:
Let T be the event that she hot the target and W be the event that there was a gust of wind.
P(T | W) = 0.4
P(T | W') = 0.7
P(W) = 0.3
P(W') = 1 - 0.3 = 0.7
a) P(W T) = P(W) x P(T | W)
= 0.3 x 0.4
= 0.12
b) P(T) = P(W T) + P(W' T)
= 0.12 + 0.7 x 0.7
= 0.61
c) P(she hits the target exactly once in two shots) = P(hits the target on first shot and misses on the second) + P(misses the target on first shot and hits on the second)
= 0.61 x (1-0.61) + (1-0.61) x 0.61
= 0.4758
d) P(W' | T') = P(T'W')/P(T') [Bayes' theorem]
= [0.7 x (1-0.7)]/[0.7 x (1-0.7) + 0.3 x (1-0.4)]
= 0.5385
Answer:
12x -y = 24
Step-by-step explanation:
You want a line through points (4, f(4)) and (6, f(6)). Evaluating the function, we find the points are (4, 24) and (6, 48). In the 2-point form of the equation for a line, we find ...
y = (y2 -y1)/(x2 -x1)(x -x1) + y1
y = (48 -24)/(6 -4)(x -4) +24 . . . . filling in the values
y = 12(x -4) +24 . . . . . . one form of the equation for the secant
12x -y = 24 . . . . . . . . . . standard form equation of the line
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The slope-intercept form of the equation is ...
y = 12x -24