The value of the angle R in the right triangle PQR is sin⁻¹ 6 / 8
The situation forms a right angle triangle.
<h3>How to find an angle in a right triangle?</h3>The angle R can be found as follows:
using trigonometric ratios,
sin R = opposite / hypotenuse
Therefore,
opposite sides = 6
hypotenuse = 8
sin R = 6 / 8
R = sin⁻¹ 6 / 8
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Answer:
1)
For this case we can interpret that the expected variation around the mean is about 3.3 people approximated
2)
And we can use the normal approximation given by:
And we can use the z score formula given by:
And if we find the z score for 16 we got:
And we can find this probability using the normal standard distribution or excel and we got:
3) For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%
Step-by-step explanation:
Let X represent the random variable for the number of residents who are left handed
And for this case we can model this variable with this distirbution:
Part 1
The mean is given by:
And the deviation would be:
For this case we can interpret that the expected variation around the mean is about 3.3 people approximated
Part 2
We want to calculate this probability:
And we can use the normal approximation given by:
And we can use the z score formula given by:
And if we find the z score for 16 we got:
And we can find this probability using the normal standard distribution or excel and we got:
Part 3
For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%
answer:
52
step-by-step explanation:
this is because this is a square
x = 26
x = 13
13 X 4 = 52