Answer:
336 cubic cm
Step-by-step explanation:
Volume of cone + (Volume of Sphere/2)
V (cone) = (π
h)/3
= π
(12) ÷ 3
= 64π ≈ 201 cm
V (sphere) = 4/3π
/2
= [4/3π(4^3)] ÷ 2
= (256π/3) ÷ 2
≈ 43π ≈ 135
Answer:
x = 1 y = 3 z = 1
Step-by-step explanation:
(1) x - 3y - z = -9 (2) -2x + y + 2z = 3 (3) 2x + y + 3z = 8
2x(1) <u>2x - 6y - 2z = -18</u> (2) <u>-2x + y + 2z = 3</u>
- 5y = -15 2y + 5z = 11
y = 3 2(3) + 5z = 11
6 + 5z = 11
5z = 5
z = 1
x - 3(3) - 1 = -9
x - 9 - 1 = -9
x - 10 = -9
x = 1
Note: If you write your equations across your paper, then the work can just flow down the paper. It makes it so much easier to show the work you have done. OK?
Answer:
65.3658 inches
Step-by-step explanation:
Let X be the height of a woman randomly choosen. We know tha X have a mean of 63.6 inches and a standard deviation of 2.5 inches. For an x value, the related z-score is given by z = (x-63.6)/2.5. We are looking for a value 
such that 
, but, 
, i.e., 
is the 76th percentile of the standard normal distribution. So, 
, 
. Therefore, the height of a woman who is at the 76th percentile is 65.3658 inches.
The answer to your question is 34.13%
Compound interest is the starting amount x (1+ the interest rate as a decimal)^ the time in years=the final amount.
In your case, the equation will be $1000*(1+0.10)^how many years= the final amount.
