What is the midpoint of the line segment (-8,-7) and (-7,-8)
1 answer:
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The expression for finding the amount of money earned on interest is
where
P = principal (money you started with)
r = rate (in decimal form)
n = number of times compounded per year
t = time (in years)
In this case:
P = 3000
r = 0.02 (because 2% in decimal form is 0.02)
n = 1 (because it is compounded once every year)
t = 16 (because she got the money when she was 2 and we are calculating it for when she turns 18, 16 years later)
So, you plug it in:
So, the answer is (1) <span>3000(1 + 0.02)^16</span>
where
P = principal (money you started with)
r = rate (in decimal form)
n = number of times compounded per year
t = time (in years)
In this case:
P = 3000
r = 0.02 (because 2% in decimal form is 0.02)
n = 1 (because it is compounded once every year)
t = 16 (because she got the money when she was 2 and we are calculating it for when she turns 18, 16 years later)
So, you plug it in:
So, the answer is (1) <span>3000(1 + 0.02)^16</span>
Answer:
4.75% probability that the battery will last more than 9 hours before running out of power
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that the battery will last more than 9 hours before running out of power g
This is 1 subtracted by the pvalue of Z when X = 9. So
has a pvalue of 0.9525
1 - 0.9525 = 0.0475
4.75% probability that the battery will last more than 9 hours before running out of power