Answer:
(4,3)
Step-by-step explanation:
The orthocenter of a triangle is the point of intersection of the altitudes of the triangle .
The vertices are:
A(-2,5), B(6,5), and C(4,-1)
Slope of (6,5), and (4,-1) is
Slope of altitude through A is
The equation of the altitude through A is
The slope of A(-2,5), B(6,5) is zero because it is a horizontal line.
The equation of altitude through (4,-1) will be the vertical line x=4.
This implies that,
Hence the orthocenter is (4,3)
The probability that Nins goes 0 days is 0.2, the probability that she goes 1 day is 0.50, and the probability that she goes 2 days is 0.30. You can write these data as a table:
where are numbers of days and are probabilities.
The expected value of the number of days per week on which Nina goes to the supermarket is
.
Answer: the expected value of the number of days per week on which Nina goes to the supermarket is 1.1.
ANSWER
The correct answer is C
EXPLANATION
We want to find the quotient:
We multiply by the reciprocal of the second fraction:
We cancel out the common factors to obtain:
We multiply to get
This simplifies to :
The correct answer is C
Answer:
Median: 40
Mode: 40
Step-by-step explanation:
The required function of the situation is f(x) = 2670x.
Step-by-step explanation:
Given,
Population is = 3000
Evert year it is decreased by 11%.
To find the function of the given situation.
Formula
If the original population is a and is decreased by b% the population after 1 year will be a×
After x year the population will be = a××x =
Now,
Let after x years the population will be,
f(x) = 3000x×
= 2670x
Hence,
The required function of the situation is f(x) = 2670x.