The probability that none of them are spades is c(39,5) / c(48,5).
Probability is without a doubt how probable something is to show up. whenever we are uncertain about the final results of an occasion, we can talk about the possibilities of sure outcomes and how probable they are. The analysis of events governed by opportunity is referred to as records.
A chain of moves in which the results are usually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a cube. occasion. it is a single final result of an experiment. Getting a Head whilst tossing a coin is an event.
Simple chance is the calculation of an outcome or the chance of an event ever taking place. Coverage companies use possibility statistics to determine the possibility of having to pay out a declaration. A simple chance is calculated by way of dividing a particular outcome by all of the feasible outcomes.
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Answer:
50
Step-by-step explanation:
Let x represent the number of people that attended the movie.
And y the number of adults that attended the movie
Given;
Percent of adults that attended the movie = 40%
Number of adults that attended the movie y = 20
So,
40% of those that attended the movie area adults.
y = 40% of x
y = 40/100 × x
y = 0.4x
(Ratio of y to x is 4:10 or 0.4)
Making x the subject of formula;
x = y/0.4
Substituting the value of y given;
x = 20/0.4
x = 50
Therefore, 50 people attended the movie.
Answer: C. r+6>45
Step-by-step explanation:
Since, Dr. Cheeks tries to run at least 45 rotations on her hamster wheel each week.
If she runs r rotations then, for the value of r, 
Since, If she has already 6 rotations
Therefore total rotation she has = r+6
Thus, if
⇒
So, Option C is the correct option.
If we translate the word problems to mathematical equation,
2x + 3y = 60
The second equation is,
P = xy³
From the first equation, we get the value of y in terms of x.
y = (60 - 2x) / 3
Then, substitute the expression of y to the second equation,
P = x (60-2x) / 3
P = (60x - 2x²) / 3 = 20x - 2x²/3
We derive the equation and equate the derivative to zero.
dP/dx = 0 = 20 - 4x/3
The value of x from the equation is 15.
Hence, the value of x for the value of the second expression to be maximum is equal to 15.