Paula is painting a henhouse. If a can of paint will cover 24 square feet, how many cans of paint does she need to buy? Explain
1 answer:
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Lacking information on the proportion, we will assume the sample proportion is 0.50
thus,
p = 0.50
The margin of error is set at 10 percentage points. This indicates that the error on either side of the population proportion is 5%, so E = 0.05
z = 1.645 (Z value for a confidence level of 90%)
The calculation for the margin of error when estimating population proportions follows:
Consequently, 271 students need to be part of the sample.
thus,
p = 0.50
The margin of error is set at 10 percentage points. This indicates that the error on either side of the population proportion is 5%, so E = 0.05
z = 1.645 (Z value for a confidence level of 90%)
The calculation for the margin of error when estimating population proportions follows:
Consequently, 271 students need to be part of the sample.
Answer:
A sum of $12,000 should be allocated at an interest rate of 5.25%, while $13,000 should be put in at 4%.
Step-by-step explanation:
Recall that
The simple interest formula is given by
where
I represents the total interest earned,
P is the initial investment,
r stands for the interest rate, and
t is the number of time periods.
Define
x as the amount invested at 5.25%,
and (25,000 - x) as the amount put in at 4%.
From the problem,
Plugging these into the formula:
Now, isolate x:
Hence, investing $12,000 at 5.25% and $13,000 at 4% meets the required interest condition.