What is the volume of this figure? * 10 m 2 m 4 m
2 answers:
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Solution: We are given:
Now let's find the estimated value of standard deviation using the range rule of thumb. According to range rule of thumb, the estimate of standard deviation is:
Therefore the estimated standard deviation is 0.690
is this an acceptable approximation?
Answer: c. Yes, because the error of the range rule of thumb's approximation is less than 15%.
Explanation:
The difference between estimated standard deviation and actual standard deviation is:
0.807 - 0.690 = 0.117
Now let's find the percentage of error
.
Therefore, the error of the range rule of thumb's approximation is less than 15%.
<u>Given</u>:
The given figure is a right triangle.
The measure of one of the angle is 37°
One of the length of the legs of the triangle is 11 cm
The length of the hypotenuse is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we have;
Simplifying, we get;
Rounding off to the nearest hundredth, we get;
Thus, the value of x is 13.77 cm.