Twenty is no greater than the sum of a number and -4.
1 answer:
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Answer:
The x-intercept is 4
Step-by-step explanation:
We are given;
The slope of a line as -3/4
y-intercept is 3
We are supposed to determine the x-intercept;
We need to know that;
The slope of a line is given by the ratio of the change in y to the change in x
The coordinates of y-intercept are (0, 3)
Taking the x-intercept as a, then the coordinates of x-intercept is (a, 0)
But;
slope = Δ in y ÷ Δ in x
Therefore;
Solving for a
Therefore, the x-intercept is 4
Answer:
The number of hits would follow a binomial distribution with and
.
The probability of finding hits is approximately
(or equivalently, approximately
.)
The mean of the number of hits is approximately . The variance of the number of hits is approximately
(not the same number as the mean.)
Step-by-step explanation:
There are possible passwords in this set. (Approximately two billion possible passwords.)
Each one of the randomly-selected passwords would have an approximately
chance of matching one of the users' password.
Denote that probability as :
.
For any one of the randomly-selected passwords, let
denote a hit and
denote no hits. Using that notation, whether a selected password hits would follow a bernoulli distribution with
as the likelihood of success.
Sum these 's and
's over the set of the
randomly-selected passwords, and the result would represent the total number of hits.
Assume that these randomly-selected passwords are sampled independently with repetition. Whether each selected password hits would be independent from one another.
Hence, the total number of hits would follow a binomial distribution with trials (a billion trials) and
as the chance of success on any given trial.
The probability of getting no hit would be:
.
(Since is between
and
, the value of
would approach
as the value of
approaches infinity.)
The mean of this binomial distribution would be:.
The variance of this binomial distribution would be:
.
Answer:
G
Step-by-step explanation:
We can find a missing length of a triangle using a Pythagorean theorem if and only the triangle is a right angled triangle.
The side of the missing length is:
a^+b^=c^
2^+4^=c^
4+16=c^
20=c^