Answer:
A. 0.0001
Step-by-step explanation:
z-statistic:
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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
The value of the z-statistic is z = 3.74.
The desired probability is 1 subtracted by the pvalue of z = 3.74.
z = 3.74 has a pvalue of 0.9999
Then
1 - 0.9999 = 0.0001.
So the correct answer is given by option A.
One approach is to express
8x2y
so that the numerator and denominator are expressed with the same base. Since 2 and 8 are both powers of 2, substituting 23 for 8 in the numerator of 8x2y gives
(23)x2y
which can be rewritten
23x2y
Since the numerator and denominator of have a common base, this expression can be rewritten as 2(3x−y). In the question, it states that 3x−y=12, so one can substitute 12 for the exponent, 3x−y, which means that
8x2y=212
The final answer is A.
Answer:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
Putting time into years for simplicity,
6 months / 12 months/year = 0.5 years.
Solving our equation:
A = 200(1 + (0.055 × 0.5)) = 205.5
A = $205.50
Step-by-step explanation:
