Answer:
37.3 ft
Step-by-step explanation:
x/56 = 32/48
cross multiply:
56x32 = 1792
48x
1792/48 = 37.3
(5 + 4 - 2) * -2 = ...do the math in the parenthesis first
7 * -2 =
-14 <==
Answer:
45
Step-by-step explanation:
first take the $310 and add the $50 in profit and you get $360 divide that by $8 and you get 45
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!! :)
First, convert all of the mixed numbers into improper fractions.
2 3/4=11/4
3 1/8=25/8
1 3/5=8/5
Now, we know that to find the volume, multiply width, length, and height together.
11/4*25/8*8/5=2200/160 or 55/4 known as 13 3/4
The volume is 13 3/4 cm cubed.
