Based on the calculations, the volume of this rectangular prism is equal to: A. 5x⁴ + 4x⁴ + x³.
What is a polynomial?A polynomial can be defined as a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as the following:
SubtractionMultiplicationAdditionHow to calculate the volume of a rectangular prism?Mathematically, the volume of a rectangular prism can be calculated by using this formula:
Volume = L × W × H
Where:
L represents the length of a rectangular prism.H represents the height of a rectangular prism.W represents the width of a rectangular prism.Substituting the given parameters into the formula, we have;
Volume, V = x × x² × 5x² + 4x + 1
Volume, V = x³ × 5x² + 4x + 1
Volume, V = x³(5x² + 4x + 1)
Volume, V = 5x⁴ + 4x⁴ + x³
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Answer:
b is the answer
Explanation:
Thirty-nine percent of consumer prefer to order their prescription remotely instead of going to the Pharmacy. They argue that going in in person prompt individual to purchase other items that they did not need, especially those chocolate candies by the register. If ordering prescription remotely follows a binomial distribution pattern. You randomly select 10 consumers. Find the probability that the number of customers who prefer to shop to order prescription remotely is:
The solutions to the problems concerning the order of the prescription remotely are:
The probability of exactly 4 is 0.25The probability of at most 2 is 0.18How to solve for the probabilityWe have to solve this by making use of binomial probability
where p is the probability
x is the number of success
n is the trials
We have to find the probability of exactly 4
We have to solve this by making use of the binomial distribution formula
= [tex]nCxP^{x} (1-p)^{n-4}[/tex]
where n = 10
x = 4
p = 39
39/100 = 0.39
percentage = 0.39
When we put these values in the formula that we have here we would have
[tex]10C_{4} P^{4}(1-P)^{10-4}[/tex]
This would be written as
[tex]\frac{10!}{4!(10-4)! } *0.39^{4} *(1-0.39)^6[/tex]
Probability of exactly 4 = 210 * 0.39⁴ * (1 - 0.39)⁶
= 0.25
The probability of exactly 4 is 0.25
2. We have to solve for the probability of at most 2
= probability of exactly 1 + probability of exactly 2
= ₁₀C₁ * p¹ * (1 - p)¹⁰ ⁻¹ + ₁₀C₂ * P² * (1 - P)¹⁰⁻²
= 10 * 0.39¹ * 1 - 0.39⁹ + 45 * 0.39² * 1 - 0.39⁸
Probability of at most 2 = 10 * 0.39 * (1 - 0.39)⁹ + 45 * 0.39² * (1 - 0.39)⁸
= 0.18
The probability of at most 2 is 0.18
The probability that the number of customers that prefers remote order is exactly 4 is 0.25, while the probability that they are exactly 2 is 0.18
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complete question
Thirty-nine percent of consumer prefer to order their prescription remotely instead of going to the Pharmacy. They argue that going in in person prompt individual to purchase other items that they did not need, especially those chocolate candies by the register. If ordering prescription remotely follows a binomial distribution pattern. You randomly select 10 consumers. Find the probability that the number of customers who prefer to shop to order prescription remotely is:
Exactly 4 (Show all work – Formula and calculations)
At most 2 (Show all work – Formula and calculations)
Where are most heavier metals, such as iron and nickel, found in the Earth's layers and why?
Answer:
The Mantle
Explanation:
The Mantle: The mantle is the thickest layer of the Earth, making up about 82% of its volume. The mantle is composed primarily of heavy metals, such as iron, nickel, magnesium, and others. Scientists describe the state of the mantle as 'plastic.