Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 46 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) If the true mean is .9400 with a standard deviation of 0.0030, within what interval will 90 percent of the sample means fall? (Round your answers to 4 decimal places.) The interval is from to (b) If the true mean is .9400 with a standard deviation of 0.0030, what is the sampling distribution of X ? 1. Exactly normal with µ = .9400 and o = 0.0030. 2. Approximately normal with µ = .9400 and o = 0.0030. 3. Exactly normal with u = .9400 and o = 4. Approximately normal with µ = .9400 and og 0.0030 /V46. 0.0030 /V46. %3D 01 0 2 3

Q: Express the interval as an inequality in the variable x.

A: We have the given interval as   [4, ∞)   Square brackets mean that 4 is also included in the…

Q: y= 4x- 572 160 sin 4,

A:

Q: In a class in which the final course grade depends entirely on the average of four equally weighted…

A: The solution is given below

Q: • Rewrite each of the following sets in interval notation. R: 23 23}

A: We have to rewrite each of the following given sets in interval notation :

Q: What should you do when a < p-value? Accept Ho Reject Ho Fail to reject Ho

A: Concept of p-value:The p-value in hypothesis testing is the probability of obtaining a test…

Q: 3. Find the absolute value: 3 3+ il

A: We are asked to find the absolute value.

Q: Denote the intervals of the following inequalities. 3. 5 ≥ ? > 1 Interval: _______ 4. 2 < ? ≤ 5…

A: If a compound inequality is a≤x≤b, then the interval notation is [a,b]. If a compound inequality is…

Q: For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h…

A: Given for a certain model of car the distance d required to stopthe vehicle if it is traveling at…

Q: {x | x ≥ −8}   I have to write this as an interval notation. I do not understand how, everything I…

A: Interval Notation:Interval Notation is the easiest way to represent the numbers of “Number Line” or…

Q: 3. Solve Ex- 3|< -17

A: The given inequality can be solved as below:…

Q: Can you solve number 16 please? I am not getting the correct interval for the domain

A:

Q: Write the following in interval notation: 2(10 – 12x) > – 8 – læ

A:

Q: Which of the following intervals represents the inequality? {x:x> 7} (B) [7, 0) (C) (-00, 7) (D)…

A: Given inequality is {x : x&gt;7} This means that x can take any value greater than 7.

Q: Describe the x-values at which the function is differentiable. x2 y = x² - 4

A: Given: y=x2x2-4, To find: The value of x at which the function is differentiable.

Q: Question is completly wrong. If you read the directions its asking for an interval

A:

Q: Which of the following could be a test number for the interval - 2 &lt; x &lt; 5?(a) - 3 (b) - 2 (c)…

A: -2&lt;x&lt;5

Q: Define absolute certainty?

A: Certainty is something that tells any event or phenomena will happen with surety. There could be…

Q: The maximal interval?

A: Given D.E is    with initial condition   .And solution is

Q: Solue the ineguali ties hy interpieting e statement about distances the inegualities an the real…

A: See the attachment

Q: Зx+5 - 2 <0 х+1 4.

A:

Q: Solve for x and answer using interval notions- 2x+3 < 3/4 (x+2) + 2 ≤ 2x -11

A: Take the inequalities separately and find the possible values of x

Q: Choose 1 answer: A -4<x < -3 B) -1< a < 0 4 < a < 5

A: For F(x) is positive where f'(x)&gt;0 so the slope of the curve is positive

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.