Answer:
18.5 about
Step-by-step explanation:
2
r
23
= about 18.5
Answer:
A: 4
Step-by-step explanation:
So first you can move the 2^-5 to the denominator, making the equation (2^2) (4^3) / (2^5) (2)
Then simplify the terms so you end up with (4)(64) / (32) (2)
Then multiply the denominator so you end up with (4) (64) / (64)
Since both the denominator and numerator have 64, those cancel out leaving you with 4
If you need more clarification feel free to ask
Answer:
In order from top to bottom: 5^2, 125, 50
Step-by-step explanation:
1. (3+2) × 5 = 5 × 5 = 5^2
2. 5^3 = 5 × 5 × 5 = 125
3. 10^2 / 2 = 100/2 = 50
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!! :)
