Answer:
- Exact Area = 210.25pi - 210
- Approximate Area = 450.185
The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14
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Explanation:
Use the pythagorean theorem to find the length of the hypotenuse
a^2 + b^2 = c^2
20^2 + 21^2 = c^2
400 + 441 = c^2
c^2 = 841
c = sqrt(841)
c = 29
The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.
The area of the circle is...
A = pi*r^2
A = pi*(14.5)^2
A = pi*210.25
A = 210.25pi
Which is exact in terms of pi
We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.
So the shaded region is therefore 210.25pi - 210 square inches
This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.
Answer:
3(x - 4)
Step-by-step explanation:
Given
3x - 12 ← factor out 3 from each term
= 3(x - 4)
It is A
Hope this helps :3
The number of observations for each case in a t test for dependent samples is two is the correct answer.
In this question,
The dependent t-test also called the paired t-test or paired-samples t-test compares the means of two related groups to determine whether there is a statistically significant difference between these means. Each sample must be randomly selected from a normal population and each member of the first sample must be paired with a member of the second sample.
A dependent samples t-test uses two raw scores from each person to calculate difference scores and test for an average difference score that is equal to zero.
The groups contain either the same set of subjects or different subjects that the analysts have paired meaningfully. In dependent samples, subjects in one group do provide information about subjects in other groups.
Hence we c an conclude that the number of observations for each case in a t test for dependent samples is two is the correct answer.
Learn more about dependent t-test here
brainly.com/question/15870238
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Answer:
1. false
2. 17 times
Step-by-step explanation:
The sum of all the probabilities of outcomes of an event is equal to 1
2. A die has 1,2,3,4,5,6
P(4) = number of 4's/ total numbers
= 1/6
Multiply the number of roll's by the probability of getting a 4
100 *1/6 = 50/3 = 16 2/3
This is approximately 17
