Answer:
8 by 8
Step-by-step explanation:
well the GCF of all those are 8 and then adding 16+24+32=64
8 goes into 64 8 times so it would be 8 by 8
The volume of a cylinder is given by
where 
is the base area, and 
is the height.
We are already given the height, which is 10.
We can deduce the base area since we are given a diameter: the radius is half the diameter, so it's 8, and the area of a circle is given by
So, the volume is
The domain and simplified terms are marked below
Answer:
a) 4/17
b) 1/12
c) 3/34
d) 3/34
Step-by-step explanation:
a) The probability of choosing the first nickel is 9/(9 + 6 + 3) (because there are 9 nickels to choose from and a total of 9 + 6 + 3 = 18 coins to choose from) = 9/18 = 1/2. The probability of choosing the second nickel is 8/17 (because there's no replacement, we have 9 - 1 = 8 nickels remaining to choose from and 18 - 1 = 17 total coins). Multiply these together: (1/2) * (8/17) = 8/34 = 4/17
b) The probability of choosing a nickel is 9/18 (just like above) = 1/2. The probability of choosing a dime is 3/18 (because there are 3 dimes and since there IS replacement, we still have 18 total coins to choose from). Multiplying these, we get: (1/2) * (3/18) = 3/36 = 1/12
c) The probability of choosing a nickel is 9/18 = 1/2. The probability of choosing a dime after that is 3/17 (because there are 3 dimes to choose from, but since there's NO replacement, there are only 18 - 1 = 17 total coins). Multiplying these, we get: (1/2) * (3/17) = 3/34
d) The probability of choosing a penny is 6/18 (because there are 6 pennies) = 1/3. The probability of choosing a nickel next is 9/17 (because there is NO replacement, there are 18 - 1 = 17 total coins remaining). The probability of choosing a second nickel is 8/16 = 1/2 (because there are 17 - 1 = 16 total coins and 9 - 1 = 8 nickels left). Multiplying these, we get: (1/3) * (9/17) * (1/2) = 9/102 = 3/34
Hope this helps!
