Complete question is;
An ordinary deck of playing cards has 52 cards. There are four suits
-spades, hearts, diamonds, and clubs
-with 13 cards in each suit.
Spades and clubs are black; hearts and diamonds are red. One of these cards is selected at random. Let A denote the event that a red card is chosen.
Find the probability that a red card is chosen, and express your answer in probability notation.
Answer:
P(A) = 0.5
Step-by-step explanation:
We are told that the ordinary deck of playing cards has 52 cards.
Now, there are four suits
-spades, hearts, diamonds, and clubs
-with 13 cards in each suit.
Now, in a standard set of playing cards, there are 13 black spades and 13 black clubs as well as 13 red hearts and 13 red diamonds
Thus;
Number of red cards = 13 + 13
Thus;
Number of red cards = 26
Since, A denotes the event that red card is chosen.
This means that probability of choosing a red card is;
P(A) = number of red cards/total number in a deck of cards
P(A) = 26/52
P(A) = 0.5
2) Triangle ABC is not a right triangle.
Conclusion:
Answer:
The conclusion is that the triangle ABC doesn't have any right angles because all angles are less than 90°
Given the statements that 'if a triangle has a right angle, then it's a right triangle' and that 'Triangle ABC is not a right triangle', we can conclude that 'Triangle ABC does not have a right angle'.
The given statements are:
From these statements, the true conclusion that can be drawn is: Triangle ABC does not have a right angle.
This conclusion is derived from the logical sequence of the given statements. In simple terms, statement 1 tells us that having a right angle defines a right triangle. Then, in statement 2, we are told that Triangle ABC is not a right triangle, which, based on statement 1, allows us to conclude that Triangle ABC does not have a right angle.
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f(x) = –x2 – x + 2
Answer:
The value in millions of dollars of a downtown office building that cost 12 million dollars to build 20 years ago and depreciated at 9% per year is $1819738.95
Step-by-step explanation:
Cost of building 20 years ago = 12000000
We are given that the cost depreciated at 9% per year
Formula :
Where N(t)= Population after t years
=Initial population=12000000
r= rate of depreciation=0.09
t = 20 years
Substitute the values in the formula:
N(t)=1819738.95
Hence the value in millions of dollars of a downtown office building that cost 12 million dollars to build 20 years ago and depreciated at 9% per year is $1819738.95