Answer:
MN = 12 units
NP = 16 units
PM = 20 units
Step-by-step explanation:
You can find MN and NP by counting on the graph. To find PM you will need to use the formula a^2 + b^2 = c^2 ( ^ stands for exponent)
MN and NP will be a and b.
Example: 12^2 + 16^2 = c^2
Simplify.
Example:
144 + 256 = c^2
144 + 256 = 400
Then find the square root of 400 which is 20.
To check your work put all of the sides into the formula and it should be true.
Answer:
Step-by-step explanation:
We have to solve the given expression,

= 
= 
= 
= 
= 
= 
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To find slope use the equation (y2 - y1) / (x2 - x1)
5 - 4 / 2--2
1/-4
The slope is -1/4
Hope this helps :)
Answer:
Step-by-step explanation:
The expected value is the probability of an event multiplied by the number of times the event happens. And if there is more than 1 event, the expected value is the sum of those.
There are 52 cards in a deck.
There are 12 face cards in a deck. (gain 10)
There are 4 ace in a deck. (gain 20)
Any other card is 36 of them. (lose 5)
The probability of face card is 12/52
The probability of ace is 4/52
The probability of any other card is 36/52
Thus the expected values is:
(12/52)(10) + (4/52)(20) + (36/52)(-5) = $0.38
10m
The process of elimination