Answer:
1 5/14
Step-by-step explanation:
Flip it around: 19/14
Turn 19/14 into a mixed number which is:
1 5/14

Since

, it follows that

where the sign depends on the location of the terminal side of the angle. Since the terminal side lies in the fourth quadrant, that means the cosine of the angle is positive, so
length = 8 yd and width = 2 yd
So, Option D is correct.
Step-by-step explanation:
Area of rectangular playground = 16 square yards
Width of playground = w
Length of playground = l = 4w
We need to find length(l) and width(w)
The formula used is:

Putting values:

Since width of rectangle is always positive, so we will take w = 2
So. Width = 2
Length = 4w = 4(2) = 8
Hence, length = 8 yd and width = 2 yd
So, Option D is correct.
Keywords: Area of rectangle
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Answer:


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.
Middle 85%.
Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925
Above the interval (8,14)
This means that when Z has a pvalue of 0.075, X = 8. So when
. So




Also, when X = 14, Z has a pvalue of 0.925, so when 




Replacing in the first equation





Standard deviation:




When I multiply it’s is shows 1.53719