Answer:
Inverse = (arcos x) / 2.
Step-by-step explanation:
y = cos 2x
2x= arcos y
x = (arcos y) / 2.
Inverse = (arcos x) / 2.
Using the given information, the midpoint of CD is (2.5, 4.5)
<h3>Midpoint of a line </h3>
From the question, we are to determine the midpoint of line CD
The midpoint of a line is given by the formula,
[(x₁ + x₂)/2 , (y₁ + y₂)/2]
From the given information, we are to find the midpoint of line CD with coordinates C(4,5) and D(1,4)
∴ x₁ = 4
x₂ = 1
y₁ = 5
y₂ = 4
Putting the parameters into the formula for midpoint, we get
[(x₁ + x₂)/2 , (y₁ + y₂)/2]
[(4 + 1)/2 , (5 + 4)/2]
(5/2 , 9/2)
(2.5, 4.5)
Hence, the midpoint of CD is (2.5, 4.5)
Learn more on Midpoint of a line here: brainly.com/question/896396
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To find the variable x, set the two outside equations equal to each other because all sides are equal
x+13=3x+3
13=2x+3
10=2x
x=5
then to find h, you set the equation equal to 90 because that's how many degrees it is
2h-45=90
2h=135
h=67.5
28% decrease
Solution:
Calculate percentage change
from V1 = 25 to V2 = 18
(V2−V1)|V1|×100
=(18−25)|25|×100
=−725×100
=−0.28×100
=−28%change
=28%decrease
A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.
<h3>
What is a binomial probability distribution?</h3>
- The binomial distribution with parameters n and p in probability theory and statistics is the discrete probability distribution of the number of successes in a succession of n separate experiments, each asking a yes-no question and each with its own Boolean-valued outcome: success or failure.
- The binomial distribution is widely used to describe the number of successes in a sample of size n selected from a population of size N with replacement.
- If the sampling is done without replacement, the draws are not independent, and the resulting distribution is hypergeometric rather than binomial.
- Binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.
As the description itself says, binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.
Therefore, a distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.
Know more about binomial probability distribution here:
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Complete question:
A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called a ______.
Group of answer choices
(A) binomial probability distribution
(B) distribution of expected values
(C) random variable distribution
(D) mathematical expectation
