5 language books, 6 math books. in how many ways can one math book and one language book be paired?
1 answer:
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Answer:
There is a 51.61% probability that in 10 dice throws, you will throw AT LEAST two ‘3’s on the dice.
Step-by-step explanation:
For each throw, there are only two possible outcomes. Either it is a '3', or it is not. This means that we solve this problem using the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
There are 6 possible outcomes for the dice. This means that the probability that it is a '3' is
There are 10 throws, so .
Probability of throwing AT LEAST two ‘3’s on the dice?
Either you throw less than two, or you throw at least two. The sum of the probabilities of these events is 1. So
.
In which
.
So
.
Finally:
.
There is a 51.61% probability that in 10 dice throws, you will throw AT LEAST two ‘3’s on the dice.
Answer:
y = x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, - 5) and (x₂, y₂ ) = (- 4, - 4)
m = =
, thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 6, - 5), then
- 5 = - 3 + c ⇒ c = - 5 + 3 = - 2
y = x - 2 ← equation of line