The point estimates for the mean and standard deviation of the given data is respectively; 68 and 17.6
A) To find the point estimate of the mean, we add all up all the data and divide by the number of values.
Thus;
∑x = 57 + 61 + 86 + 87 + 72 + 73 + 19 + 56 + 81 + 79 + 83 + 75 = 816
n = 12 numbers
Thus;
mean = ∑x/n = 816/12
Mean = 68
B) To find the estimate of the standard deviation, we would get it from the formula;
s = √[(n*(∑x²) - (∑x)²)/n(n - 1)]
∑x² = 572 + 612 + 862 + ... + 742 = 59,010
s = √[ (12*(59,010) - (816)²)/(12)(11)]
s = 17.6
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Answer: 4 cans
Step-by-step explanation:
If you evaluate all the amounts of cans collected from each grade you get 44 so the remainder is 4 so the number of cans that came from eighth grade is 4
The length of the third side is 3.6 units
Let the sides of the triangle be;
x, y and z
So, we have:
x = 3
y = 4
<Z = 60
The length of the third side is then calculated using the following law of cosine
z^2 = x^2 + y^2 - 2xy cos(Z)
So, we have:
z^2 = 3^2 + 4^2 - 2 * 3 * 4 * cos(60)
Evaluate the exponents and the product
z^2 = 9 + 16 - 12
Evaluate the sum and the difference
z^2 = 13
Take the square root of both sides
z = 3.6
Hence, the length of the third side is 3.6 units
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Answer:
-9 ≤ x
Step-by-step explanation:
Thsi is probably right
36°
40°
54°