Answer:
X 0 1 2 3
P(X) 0.27 0.51 0.17 0.05
And replacing we got:
Step-by-step explanation:
Let X the random variable that represent "the number of buckets of popcorn purchased by patrons during one night at the movies"
And we have the following distribution for X
X 0 1 2 3
P(X) 0.27 0.51 0.17 0.05
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
For this case we can calculate the expected value with the following formula:
And replacing we got:
It depends on how much they are selling there cookies for and also who has more cookies.
Choice C is the best answer because the singular pronoun “that” agrees in number with its singular antecedent “transition.”
According to the statement
Here we have to find the correct word which replaces the given words in the comics gold to silver.
So, For this purpose, we know that the
In the comics Gold into silver: "The reverse alchemy" we have to replace the word those.
And
Choices A and B are incorrect because the plural pronouns “those” and “these” do not agree with the singular antecedent “transition.” Additionally, choice B is incorrect because “these” implies that whatever is being referred to is at hand, not in the past. Choice D is incorrect because a pronoun is needed to complete the comparison of transitions between comic book ages.
So, Choice C is the best answer because the singular pronoun “that” agrees in number with its singular antecedent “transition.”
Learn more about pronoun here
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Answer: the equation is
4x^2 + 4x - 12
Step-by-step explanation:
A quadratic equation is an equation in which the highest power of the unknown is 2.
The general form of a quadratic equation is expressed as
ax^2 + bx + c
Where
a is the leading coefficient
c is a constant
Assuming we want to write the quadratic equation in x, from the information given, the roots which are given are -2 and 1 and the leading coefficient is 4.
Therefore, the linear factors of the quadratic equation will be (x+2) and (x-1)
the equation becomes
(x+2)(x-1)
= x^2 - x +2x - 3
= x^2 + x - 3
Given a leading coefficient of 4, we will multiply the quadratic expression by 4. It becomes
4(x^2 + x - 3)
= 4x^2 + 4x - 12
