Answer:
Equation for new diameter: |d' - 8.65| ≤ 0.05
Minimum possible diameter = 8.60 inches
Maximum possible diameter = 8.70 inches
Step-by-step explanation:
We are told that:
Ball specifications require a diameter (d) = 8.65 inches.
Allowable margin of error = 0.05 inch
Now, since we have a value for the allowable margin of error, it means that the absolute value equation to determine the possible value or the new diameter (d') would be;
|d' - 8.65| ≤ 0.05
Minimum possible diameter = 8.65 - 0.05 = 8.60 inches
Maximum possible diameter = 8.65 + 0.05 = 8.70 inches
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
a) If the coins are all the same, we have a combination of 35 identical coins in 5 persons.
The amount of combinations is
being n the number of coins and r the number of grandchildren.
b) If the coins are different, the number of combinations can be calculated as:
c) If the coins are all the same, and each grandchild gets the same number of coins, there is only one combination for that (everyone gets 35/5=7 coins)
d) If the coins are all distinct, but each of the grandchildren get the same numer of coins, the expression to calculate this is:
First distribute in the 2 on the left side to get 6d+6=7+6d
Then, you would combine the variables to be on one side of the equation by doing -6d. However, this would cancel out the d by leaving you with 0d+6=7. That is the same thing as saying 6=7.
The answer to this equation is no solution because 6 is NOT equal to 7.
For every 3 dogs, there are 4 cats.
There are 4 cats and 3 dogs, so that means for every 3 dogs, there will be 4 cats.
