Cone details:
Sphere details:
================
From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.
<u>Using Pythagoras Theorem</u>
(a)
TO² + TU² = OU²
(h-10)² + r² = 10² [insert values]
r² = 10² - (h-10)² [change sides]
r² = 100 - (h² -20h + 100) [expand]
r² = 100 - h² + 20h -100 [simplify]
r² = 20h - h² [shown]
r = √20h - h² ["r" in terms of "h"]
(b)
volume of cone = 1/3 * π * r² * h
===========================
To find maximum/minimum, we have to find first derivative.
(c)
<u>First derivative</u>
<u>apply chain rule</u>
<u>Equate the first derivative to zero, that is V'(x) = 0</u>
<u />
<u>maximum volume:</u> <u>when h = 40/3</u>
<u>minimum volume:</u> <u>when h = 0</u>
Sandra ran 7/12 of a mile. Lamar ran 3/4 of a mile. Who ran further?
Lamar ran further.
3/4=(3*3)/(4*3) which equals 9/12.
Based off calculations we also see that 9/12>7/12.
Which then leaves us too 3/4>7/12.
Answer:
0.3569 is the probability that they have a mean pregnancy between 266 days and 268 days.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 268 days
Standard Deviation, σ = 15 days
We are given that the distribution of lengths of pregnancies is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P(pregnancy between 266 days and 268 days)
The correct answer is -10
Question 1 (The wood question)
Answer: 14 7/8
Explanation: (see attached photo!)
Question 2 (The graph question)
Answer: multiply the number of weeks by 3
Explanation: Look at the point where it's between 2 and 4
I hope this helps!
