Answer:
b) 6.68%
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 score on the scale is 50. The distribution has a standard deviation of 10.
This means that 
Matthew scores a 65. What percentage of people could be expected to score the same as Matthew or higher on this scale?
The proportion is 1 subtracted by the p-value of Z when X = 65. So



has a p-value of 0.9332.
1 - 0.9332 = 0.0668
0.0668*100% = 6.68%
So the correct answer is given by option b.
Its 160 .................
Answer: 24.24 miles
Step-by-step explanation:
We should note that 1000 metres = 1 kilometer.
Imelda rode her bicycle 39 kilometers which will be converted to meters a:
= 39 × 1000
= 39000 meters
Since 1 meter = 1.094 yards
39000 meters = 39000 × 1.094 = 42666 yards
To find find the distance Imelda rode her bicycle to the nearest mile goes thus:
1 mi = 1760 yd
42666 yards will be converted to miles. This will be: 42666/1760 = 24.24 miles
Answer:104ft^3
Step-by-step explanation:
volume=length x width x height
Volume=13 x 4 x 2
Volume=104ft^3