Answer:
about 63.1%
Step-by-step explanation:
For the first song, it is certain it isn't a duplicate. For the second song, the probability that it is not a duplicate is 4999/5000. The probability the third song is not a duplicate is 4998/5000.
Hence the probability that none of the 100 songs is a duplicate is ...
5000!/4900!/5000^100 ≈ 0.369120
Then the probability that one or more is a duplicate is ...
1 - 0.369120 ≈ 0.630880
To figure out what a fraction is as a decimal u would do the top divided by the bottom
For this fraction it would look like this,
8 divided by 9 which would get you 0.88888888888
So your decimal is 0.889
Its not 0.888 because with decimals since a typical decimal is show as 2-3 numbers it would be rounded up to keep it as 3 numbers or less. so this would be 0.889 or if that doesnt work 0.888 with a line over the last 8.
Answer:
39.25 cubic feet of paint will be needed by Ellis.
Step-by-step explanation:
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder of radius r and height h is given by:
V = \pi r^2h = 3.14r^2h
How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?
This is the combined volume of these 10 fenceposts.
They are each 5 feet tall and have a diameter of 1 foot.
Radius is half the diameter, so r = \frac{1}{2} = 0.5. Also h = 5
10 fenceposts:
Each has the same volume, so:
V = 10(3.14)r^2h = 31.4(0.5)^2(5) = 39.25
39.25 cubic feet of paint will be needed by Ellis.
hope this helps
The maximum value is actually the maximum of y
So, you don't need to care about the stuff inside cosine function,
Cosine function is always within the range of [-1,1]
So here, ymax = -1 + 6* 1 = 5
Answer:
<u>Use the formula for area of the triangle:</u>
- A = 1/2bh, where b- base, h- height or altitude
<h3>Part A</h3>
<u>The triangle i has:</u>
<u>The area is:</u>
<h3>Part B</h3>
Triangles have same area as they are congruent.
<u>Total area is:</u>
