312 is the LCM for this set
8 feet, because 10^{2} - 6^{2} = 64;
\sqrt{64} = 8[tex]
Answer:
17/20
Step-by-step explanation:
Answer:
The second and fourth option
Step-by-step explanation:
In order for two lines to be perpendicular they must intercept each other and their slope must be the opposite inverse; ex:
the negative inverse is 4 (multiplying by -1 and flipping the fraction)
Answer:
Exactly 16%.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The mean of a certain set of measurements is 27 with a standard deviation of 14.
This means that 
The proportion of measurements that is less than 13 is
This is the p-value of Z when X = 13, so:

has a p-value of 0.16, and thus, the probability is: Exactly 16%.