First, let's find out the equivalent amount of one-sixth of the total length of 8 ft.
Length of cut = 8(1/6) = 4/3 ft
So, the remaining length would be:
Remaining length = 8 ft - 4/3 ft = 20/3 ft or that's 6 and 2/3 ft.
Since there are 12 inches in 1 ft:
2/3 ft * 12 in/ft = 8 inches
Thus, the remaining length is 6 ft and 8 inches.
He drew a scalene triangle
A scalene triangle is where all side measure and all angle measure are different.
Answer:
26.11% of the test scores during the past year exceeded 83.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by
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:
It is known that for all tests administered last year, the distribution of scores was approximately normal with mean 78 and standard deviation 7.8. This means that 
.
Approximately what percentatge of the test scores during the past year exceeded 83?
This is 1 subtracted by the pvalue of Z when 
. So:
has a pvalue of 0.7389.
This means that 1-0.7389 = 0.2611 = 26.11% of the test scores during the past year exceeded 83.
Answer:
The length of the equal side is 27 meters each and that of the unequal side is 36 meters
Step-by-step explanation:
An isosceles triangle is a triangle with two sides being equal (also two equal base angles).
Let us assume the length of the two equal sides to be x meters each, and the length of the unequal side to be y meter. Since the perimeter of the triangle is 90 m, it can be expressed as:
x + x + y = 90
2x + y = 90
But the length of the equal side is three fourth of the unequal side, i.e x = 3/4y
Therefore:
2(3/4y) + y = 90
3/2y + y = 90
2.5y = 90
y = 90/2.5
y = 36 meters
Also x = 3/4 * 36 = 27 meters
The length of the equal side is 27 meters each and that of the unequal side is 36 meters
