Answer:
a) The can can hold 24.54 inches³ of pop
b) There will be 22.09 inches³ of pop in the can
c) The cone can hold 7.36 inches³ of pop
Step-by-step explanation:
a) We need to work out the volume of the can, using this equation: volume of a cylinder = πr²h
- The diameter is half the radius: r = 1.25 inches
- r² = 1.5625
- π × 1.5625 × 5 = 24.54369... ≈ 24.54 inches³
b) We will still work out the volume of the can, but the height is 4.5 inches instead of 5 inches:
- r² = 1.5625
- π × 1.5625 × 4.5 = 22.0893233... ≈ 22.09 inches³
c) The cone will have a height of 4.5 inches and a diameter of 5 inches; the volume of a cone = 1/3(πr²h)
- 1/3(π × 1.5625² × 4.5) = 7.3631077... ≈ 7.36 inches³
Hope this helps!
Answer: you can use a muscle called the brain
Step-by-step explanation: but I think that 2+2=4 I think that’s correct and thanks for the points.
I’m sorry but I actually don’t know
Answer:
52.4.
Step-by-step explanation:
This is the difference of 2 squares:
a^2 - b^2 = (a - b)(a + b)
(7.62^2 - (2.38)^2
= (7.62 - 2.38)(7.62 + 2.38)
= 5.24 * 10
= 52.4
9514 1404 393
Answer:
multiply the (3, 4, 5) triple by 5 to get (15, 20, 25)
Step-by-step explanation:
Any multiple of a Pythagorean triple is a Pythagorean triple.
5(3, 4, 5) = (5·3, 5·4, 5·5) = (15, 20, 25) — a Pythagorean triple
Answer:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:
Where
and
If we standardize the variable with the z score given by:

We got a normal standard distribution with parameters 
