The height of the smaller can would need to be 12.8 cm.
First find the volume of the larger can of paint. The volume of a cylinder is given by the formula
V=πr²h
Using the dimensions of the larger can, we have
V = 3.14(8²)(20) = 4019.2
Since he has 1/4 of this can, divide the volume by 4:
4019.2/4 = 1004.8
We will use this as the volume of the smaller can. Substituting this in along with the radius of the smaller can (using the same volume formula), we have:
1004.8 = 3.14(5²)h
1004.8 = 78.5h
Divide both sides by 78.5:
1004.8/78.5 = 78.5h/78.5
12.8 = h
3/18 = 1/6 =.16666666.....
.16(repeating)
your choice A and D are the same
and choice B and C are the same
If x = 3 is a solution, (x - 3) is a factor of f(x).
2x³ + x² - 25x + 12 ÷ (x - 3) [by long division] = 2x² + 7x - 4
so f(x) = (x - 3)(2x² + 7x - 4)
f(x) = (x - 3)(2x - 1)(x + 4)
so 'zeros', or more correctly solutions, are: x = 3, x = 1/2 and x = -4.
[by setting each of the factors equal to 0 and solving for x].
Answer: 50
Explanation:
Since 5% of the values are missing, the expected number of records to be removed is interpreted as the expected value of the records to be removed whose probability of having missing values is 0.05.
Hence, the number of records that are expected to be removed is given by
Expected Value = (number of records)(probability of having a missing value)
= (1000)(0.05)
Expected Value = 50
