This is not possible. Since trapezoids are quadrilaterals, the sum of their angles must add up to 360. If three of the angles are right angles (90 degrees each), then the only possible measurement of the last angle would be 90 degrees, making a fourth right angle. With four right angles, this shape would be a square, not a trapezoid.
Answer:
6.5 cm
Step-by-step explanation:
Given the perimeter is 33 cm
Sum the 4 sides and equate to 33
2(3x - 1) + 2(2x + 5) = 33
6x - 2 + 4x + 10 = 33
10x + 8 = 33 ( subtract 8 from both sides )
10x = 25 ( divide both sides by 10 )
x = 2.5
Then
shorter side = 3x - 1 = 3(2.5) - 1 = 7.5 - 1 = 6.5 cm
Answer:
9, 24
Step-by-step explanation:
Given;
Mean= 3
Variance =2
Lets make m, the number of grandchildren of a generation of a certain person. This will make our question to be considerably related to the second generation offspring.
Hence n= 2.
Please kindly go to attachment for detailed step by step solution.
Answer:
a.) Minimum test score = 41
Maximum test score = 95
b.)An approximate value of the standard deviation is 9.
Step-by-step explanation:
The given set of test scores is approximately bell shaped.
The mean of the test scores,
= 68
The range of the data set = 54.
a.) i.) Minimum test score = 
ii.) The maximum test score = 
b.) From the 68-95-99.7 rule, also known as the Empirical rule, tell us that an approximation of the range is 3 standard deviations either way from the mean. So from this rule we can say that the minimum can also be found from
and the maximum can also be approximated as
.
From the above we can say that the range can be written as

∴ 
∴ 
Therefore an approximate value of the standard deviation is 9.