Step-by-step explanation:
With a fair die, the probability of rolling a 6 is 1/6 or 0.167.
For the baked die, the low end of the confidence interval is 0.215 − 0.057 = 0.158.
Since 0.167 is within the range of the confidence interval, there is not convincing statistical evidence that a baked die will have a higher probability of rolling a 6 than a fair die.
23. y=25x looks about right to me
24. for the equation I used, 2010 is 30 years from 1980, so y=25*30, our about 750,000
Step-by-step explanation:
the average rate of change is the change of the functional values over a given interval relative to (= divided by) the interval length (the change of the input variable in that interval).
in short :
( f (interval upper limit) - f (interval lower limit) ) /
(interval upper limit - interval lower limit)
upper limit = 8
lower limit = 0
the functional values (y) at these points are 36 and 12.
so, we get
(36 - 12) / (8 - 0) = 24 / 8 = 3
or
3/1
If you are given 2 points, it's easy to find the slope.
(8, -6)
(3, -2)
slope = (y₂ - y₁) / (x₂ - x₁)
slope = (-2 + 6) / (3 - 8)
slope = (4) / (-5)
m = 4/-5 or -5/4 or
Area of a square is ; 10 * 10 = 100
We have 2 squares so total is 200.
Area of a circle is pi* r^2 = 3.14 * 100 = 314
But we have quarter of a circle so area will be 314/4 = 78.5
Total area of the shape is 200 + 78.5 = 278.5
