Perpendicular would have a slope of 1/8 and a line paralell to y=-8 would be y=-8+5 because they have the same slope but different y-intercepts.
Answer:
$14,600
Step-by-step explanation:
The function P(a) = 25,000a - 1000 gives the amount of potatoes, P, in kilograms, that he expects to produce from planting potatoes on a acres of land.
If Ben plants on 3 acres of land, then the amount of potatoes expected will be:
P(3) = 25,000(3) - 1000 =74,000kg
The amount of money, M, in dollars, that Ben expects to make if he produces p kilograms of potatoes is given by the function:
M(p) = 0.2p - 200
Since Ben produces 74000kg on 3 acres, the amount of money he is expected to make is then:
M(74000) = 0.2(74000) - 200
=$14,600
Ben will make $14,600 if he sells all of the potatoes produced on the 3 acres.
Answer:
1067
Explanation:
The formula that will be used to calculate the sample size if population proportion isn't given is expressed as;
Sample size n = |Z|² × 0.25/E² where;
Z is the z-score at 95% confidence
E is the margin of error
Given parameters
Z score at 95% confidence interval = 1.96
E = 0.03
Substituting the given values into the formula to get the sample size n we will have;
n = 1.96²×0.25/0.03²
n = 3.8416×0.25/0.0009
n = 0.9604/0.0009
n = 1067.11
n ≈ 1067
Hence, the minimum sample size required to estimate a population proportion is approximately 1067
<span>3n + 4 = 7
</span><span>3n = 7 - 4
3n = 3
n = 1</span>