Answer:
There are 15600 ways to pick a password
Step-by-step explanation:
We have 26 possibilities to pick a letter. So, we have 26 possibilities for the first component of the password. The second letter should be different from the first one, so we have one less possibility, giving us a total of 25, and for the third letter we have 24.
This gives us 26*25*24 = 15600 ways of picking a password.
To show that the diagonals of square PQRS are congruent is to show that they are equal.
|PR| = sqrt((7 - (-4))^2 + (-5 - 0)^2) = sqrt(11^2 + (-5)^2) = sqrt(146)
|QS| = sqrt((-1 - 4)^2 + (-8 - 3)^2) = sqrt((-5)^2 + (-11)^2) = sqrt(146)
To show that they are perpendicular, then the product of their slopes is -1.
slope of |PR| = (-5 - 0)/(7 - (-4)) = -5/11
slope of |QS| = (-8 - 3)/(-1 - 4) = -11/-5 = 11/5
The product of their slopes = -5/11 * 11/5 = -1
To show that they are bisectors is to show that their midpoints are at the same point.
Midpoint of |PR| = ((7 - 4))/2, (-5 + 0)/2) = (3/2, -5/2)
Midpoint of |QS| = ((-1 + 4)/2, (3 - 8)/2) = (3/2, -5/2)
Answer:
pens are 12
batteries are 5
Step-by-step explanation:
y=27-3x y=17-x
<u>-17 +3x</u> 27-3x=17-x <u>-17 +3x</u>
2x=10
x=5
y=27-3x y=27-3(5) y=27-15
y=12
You are expected to use a z-score table to find how many standard deviations correspond to having 10% outside the bounds. It is like having 68% within 1σ. The table interpolates.
I'm sorry I looked everywhere and I still cannot find how to calculate with the data provided. I'm new to stats so any help is appreciated, if there is any more information let me know and I could solve it.
