Answer:
Plan II
Step-by-step explanation:
A certain county has 1,000 farms.
Corn is grown on 100 of these farms but on none of the others.
Since corn is grown on only 100 of these farms, the population of interest is the 100 farms on which corn is grown.
Therefore, a better method for estimating the total farm acreage of corn for the county is Plan II.
a) Identify the 100 corn-growing farms.
b) Sample 20 corn-growing farms at random.
c) Estimate the mean acreage of corn for corn-growing farms in a confidence interval.
d) Multiply both ends of the interval by 100 to get an interval estimate of the total.
Answer:
Maya's hair grows at the rate of 1.25cm per month
Step-by-step explanation:
After Maya shaved her hair,
She monitored the growth and recorded the length of the hair monthly in centimeters using the equation ell=1.25mℓ=1.25mell
Therefore, since the length of hair is recorded on a monthly basis, 1.25 in the equation refers to the rate of growth as measured by the length of hair per month.
Answer:
Problem 9: -1/2
Problem 10: 1/5
Step-by-step explanation:
Problem 10: Label the given ln e^(1/5) as y = ln e^(1/5).
Write the identity e = e. Raise the first e to the power y and the second e to the power 1/5 (note that ln e^(1/5) = 1/5). Thus, we have:
e^y = e^(1/5), so that y = 1/5 (answer).
Problem 9: Let y = (log to the base 4 of) ∛1 / ∛8, or
y = (log to the base 4 of) ∛1 / ∛8, or
y = (log to the base 4 of) 1 /2
Write out the obvious:
4 = 4
Raise the first 4 to the power y and raise the second 4 to the power (log to the base 4 of) 1 /2. This results in:
4^y = 1/2. Solve this for y.
Note that 4^(1/2) = 2, so that 4^(-1/2) = 1/2
Thus, y = -1/2
<span>m = 4a + 2c
a = 25; c = 5
Replace a with 25. Replace c with 5.
Then evaluate the expression.
m = 4 * 25 + 2 * 5
m = 100 + 10
m = 110
Answer: 110 meatballs are needed.</span>
The solution would be like this for this specific problem:
Area of Circle = 16(π)
= 16 * 3.14
= 50.24
Area of Square = 64
= 64 – 50.24
= 13.76
Area of Square but not on the circular board = 13.76 / 64
= 0.215
Percentage value = 0.215 * 100%
= 21.5%
So, <span>to the nearest percent, the probability that the dart lands
inside the square but not on the circular dartboard is 21.5%.</span>