To be divisible by 63, it must be divisible by both 7 and 9, since 7x9 = 63. Factor the expression, simplify, and see if both 7 and 9 are factors, which would make it divisible by both 7 and 9. (163 - 83)(43 + 23) = [(24)3 - (23)3] [(22)3 + 23] = (212 - 29)(26 + 23) = [29(23 - 1)] [23(23 + 1)] = [29(8 - 1)] [23(8 + 1)] = 29(7) 23 (9) = 63(212) It is a multiple of 63, and hence divisible by 63.
There was a gross income of 34,100....8% goes to 401K plan..
8% of 34,100 = 0.08(34,100) = 2728
he gets paid bimonthly...so he gets paid twice a month...and being that there is 12 months in a year, he gets paid (12 * 2) = 24 times
2728/24 = 113.666 rounds to 113.67 each paycheck <==
Answer:
[0.9 months, 32.69 months]
Step-by-step explanation:
The mean is
The standard deviation is
Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95
</em>
Using a spreadsheet we find these values are
a = 0.906
b = 32.694
<h3>(See picture)
</h3>
and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is
[0.9 months, 32.69 months]
5x + 3 = 33
Our goal is to isolate 5x and then simplify.
5x isn't currently isolated, due to +3.
Perform the opposite order of operations.
Subtract 3 from both sides.
5x = 30
Now, we must simplify (solve for x).
X is being multiplied by 5, so we need to perform the opposite order of operations in order to solve for x.
Divide both sides by 5.
You are left with:
X = 6.
I hope this helps!
Answer:
B
Step-by-step explanation:
The total of a kite is 360° so subtract 155 from that to get 205 which divided by 2 is 102.5