Given:
Alexis has a rectangular backyard that is 50 yards by 55 yards.
She wants to build a fence that stretches diagonally from one corner to the opposite corner.
To find:
The length of the fencing she needs.
Solution:
We have,
Length = 50 yards
Width = 55 yards
We know that, the diagonal of a rectangle is
On further simplification, we get
Therefore, the length of the required fencing is 74.3 yards.
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
Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator.
3.8
14.83
19.58
23.5
Answer:
C
Step-by-step explanation:
We want to determine the vertex of the quadratic equation:
Recall that the vertex is given by the formulas:
In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.
Determine the <em>x-</em>coordinate of the vertex:
To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:
In conclusion, the vertex of the quadratic equation is (1, 2).
Hence, our answer is C.
Answer:
C. 5
Step-by-step explanation:
first expression 5 × (9-3) = 30
second one 45 - 3x
to make it 30 = 30
x should be = 5