Answer:
15
Step-by-step explanation:
This is a Pythagorean theorem problem. You must do a^2+b^2=c^2
9^2+12^2=225
then, we must find the square root of 225 which is 15.
hope this helps -Cam <3
Answer:

Step-by-step explanation:
Given:
The given AP is.
12,0,-12,......

The first term of an AP 
Common difference 
We use the the formula for nth term of an AP.
for 87th term





Therefore, The 87th term of given series is -1020.
I see right away that 3 can be factored out of <span>15xy − 45x − 6y + 18.
The quotient is 5xy - 15x - 2y + 6, so that
</span>15xy − 45x − 6y + 18 = 3(5xy − 15x − 2y + 6) (2 factors)
<span>
or 3 [ 5x(y-1] - 2 [y-3])
</span>
Answer:
a. z-score for the number of sags for this transformer is ≈ 1.57 . The number of sags found in this transformer is within the highest 6% of the number of sags found in the transformers.
b. z-score for the number of swells for this transformer is ≈ -3.36. The number of swells found in the transformer is extremely low and within the lowest 1%
Step-by-step explanation:
z score of sags and swells of a randomly selected transformer can be calculated using the equation
z=
where
- X is the number of sags/swells found
- M is the mean number of sags/swells
- s is the standard deviation
z-score for the number of sags for this transformer is:
z=
≈ 1.57
the number of sags found in the transformer is within the highest 6% of the number of sags found in the transformers.
z-score for the number of swells for this transformer is:
z=
≈ -3.36
the number of swells found in the transformer is extremely low and within the lowest 1%
Answer:
1
Step-by-step explanation:
the reason why is because 16 people are coming to your party + you is 17