Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³
4/6 with 2 throws left i think.
Jody invested less in an account paying simple interest than she did in an account paying simple interest. At the end of the first year, the total interest from both accounts was Find the amount invested in each account.
I think the answer is Letter C - 0.032.
Given: p - 0.1; n - 90
Required: standard deviation of the sample proportion
Solution: To get the standard deviation of the sample proportion, we will use this formula - std = √p (1 - p) / n Replace the variables with the given values, then simplify.
std = √0.1 (1 - 0.1) / 90
std = √0.09 / 90
std = √0.001
std = 0.032
Answer:
x = -4
Step-by-step explanation:
Step 1: Write equation
-x + 3 = 7
Step 2: Solve for <em>x</em>
- Subtract 3 on both sides: -x = 4
- Divide both sides by -1: x = -4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-(-4) + 3 = 7
4 + 3 = 7
7 = 7
