<h3>
The probability of picking a red face card from the deck is 
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The probability of NOT picking a red face card from the deck is 
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Step-by-step explanation:
The total number of cards in the deck = 52
The total number of red( Diamond + Hearts) face cards in the given deck
= 2 Red Queens + 2 Red jacks + 2 Red kings = 6 cards
Let E : Event of picking a red face card from the deck
Now , P( any event) = 
So, here P(Picking a red face card) = 
Hence, the probability of picking a red face card from the deck is 
Now, as we know P (any event NOT A) = 1 - P(any event A)
So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)
Hence, the probability of NOT picking a red face card from the deck is 
Answer: Person A generates 107.6 millions and person B generates 85.3 millions.
Step-by-step explanation:
Let 'x' millions be the amount generated by person A then the amount generated by person B be 'x-22.3' millions.
Since they both earn together $192.9 millions.
So according to the our assumptions we have,

Therefore, the amount generated by person A=107.6 millions
And the amount generated by person B= 192.9 millions - 107.6 millions
=85.3 millions
Given:
The height h of an object after t seconds is

The height of a neighboring 50-foot tall building is modeled by the equation h=50.
The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.
To find:
The statement which describes the validity of these solutions.
Solution:
We have,

Here, t is the time in seconds.
For t=-2,



For t=5,



So, the value of h is 50 at t=-2 and t=5.
We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.
The solution t = 5 is the only valid solution to this system since time cannot be negative.
Therefore, the correct option is C.
Answer:
50
Step-by-step explanation:
Answer:
-x + 4
Step-by-step explanation:
(4x+5)+(−5x−1)
4x+5−5x−1 [Remove the parentheses]
-x + 4 [Combine Like Terms]