Answer:
a = -2
Step-by-step explanation:
a + 8/3 = 2/3
a = 2/3 - 8/3
a = -6/3 = -2
Answer:
-4<n ≤ 5
Step-by-step explanation:
Answer:
the blue line is at the 7 and the blue line is at -1
A) For this problem, we will need to use a normal calculation, in that we find the z-score and the area to the right using Table A.
z = (10 - 7.65) / 1.45
z = 1.62
area to the left for a z-score of 1.62 = 0.9474
area to the right for a z-score of 1.62 = 0.0526
The probability that a randomly selected ornament will cost more than $10 is 0.0526 or 5.26%.
B) For this problem, we will use the binomial probability formula since the problem is asking for the probability that exactly 3 ornaments cost over $10. There are two forms of this equation. One is <em>nCr x p^r x q^n-r</em> and the other is <em>(n r) x p^r x (1 - p)^n-r</em>. I will show both formulas below.
8C3 x 0.0526^3 x 0.9474^5
(8 3) x 0.0526^3 x 0.9474^5
With both equations, the answer is the same. Whichever you are more familiar or comfortable with is the one I would recommend you use.
The probability that exactly 3 of the 8 ornaments cost over $10 is 0.00622 or 0.622%.
Hope this helps!! :)
Answer:
Step-by-step explanation:
Since cotangent of angle is:
And
- cos λ = x/1, sin λ = y / 1
The value of cot λ is:
- cot λ = x/y = - 0.358/0.934 = - 0.383 (rounded)
Correct choice is B
