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Answer: So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.
Answer:
Step-by-step explanation:
A line goes through the points (-2, 4) and (8, 9). We see that x increases by 10 and y increases by 5.
Thus, the slope of this line is m = rise / run = 5/10 = 1/2 (the slope)
Starting with the point slope equation y - k = m(x - h) and substituting 9 for y, 8 for x and 1/2 for m, we get:
y - 9 = (1/2)(x - 8) (point-slope form)
y = (1/2)x + 5 (slope-intercept form)
the average can be calculated by adding the scores together and then dividing by the number of scores.
we can set up an equation:
let x = test score needed on next test
(72+72+80+x)/4 = 71
multiply both sides by 4
72+72+80+x = 284
add like terms
224+x=284
subtract 224 from both sides
x=60
she will need a 60 for her average to be 71
