Answer:
173.26
Step-by-step explanation:
Answer:Y = 3\5x -2\5
Step-by-step explanation:
I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.
A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.
Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.
The number of ways of drawing 2 aces and 3 2s is

and the number of ways of drawing 3 aces and 2 2s is the same,

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.
Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

The total number of hands that can be drawn is

Then the probability of getting a full house is

Answer:y = - 5x - 7
Step-by-step explanation:The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
here m = - 5 and b = - 7, hence
y = - 5x - 7 ← equation of line
Step-by-step explanation:
"There are several flights that have very long delays."
True. On the boxplot, we can see several outliers greater than the maximum.
"More than 25% of flights are either exactly on time or arrive early."
False. According to the 5 number summary, 25% of the flights are between -55 and 13. So less than 25% of the flights are on time or early.
"About 50% of flights are delayed between 13 and 35 minutes."
False. According to the 5 number summary, 25% of the flight times are less than 13 minutes, and 50% of the flights are less than 35 minutes. So 25% of the flights are delayed between 13 and 35 minutes, not 50%.
"About 25% of flights are delayed by more than 78 minutes."
True. According to the 5 number summary, 75% of the flights are delayed less than 78 minutes. Which means 25% of the flights are delayed more than 78 minutes.