Chapter 7: Intro to Sampling Distributions Sampling Error = x̄ - μ Z-Values for a sampling distribution of x̄ : Z = Z-Values adjusted with Finite Population Correction Applied if: the sample is large relative to the population (n is greater than 5% of N) and sampling Is without replacement Z = Using the Sampling Distribution for Means Compute the Sample Mean Define the sampling distribution μx̄ = Define the probability statement of interest P(z30 will give sampling distribution that
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Quadratic Applications KEY Part 1: Geometry Since area is a square unit‚ often quadratic equations must be used to solve problems involving area. Draw a picture to model each problem. Solve each using any of the following methods: factoring‚ graphing‚ or tables. Show all work. 1. The length of a rectangle is 7 meters more than the width. The area is 60 square meters. Find the length and width. Let x=width and x+7=width
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Kinematics / Projectiles x =?vt ?v = (v + vo)/2 v = vo + at x = vot + ½at2 v2 = vo2 + 2ax y =?vt ?v ’ ½(vo + v) v = vo – gt y = vot – ½gt2 v2= vo2 – 2gy R = (v02/g)sin(2θ) Forces Fnet = ma Fgravity = mg Ffriction ≤ μsN Ffriction = μkN Circular Motion Fnet = mv2/r ac = v2/r v = 2πr/T f = 1/T T = 1/f Gravitation F = GM1M2/R2 g = GM/R2 T2/R3 = 4π2/GM = constant GM = Rv2 Energy W = Fdcosθ KE
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1.) What does the pilot want? To save the girl. 2.) Is the pilot likely to succeed? Most likely not because by doing so he would kill others. 3.)What does the sister want? She wants to live. 4.) Is the sister likely to succeed? I doubt it cause of there being a law and there seems theers no other way then her diying. 5.) What does the government want? For the girl to be thrown off the ship. 6.) Is the government likely to succeed? I belive so. 7.) What should happen? The girl should be saved
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The Vector equation of a plane To find the vector equation of a plane a point on the plane and two different direction vectors are required. The equation is defined as: where a is the point on the plane and b and c are the vectors. This equation can then be written as: The Cartesian equation of a plane The cartesian equation of the plane is easier to use. The equation is defined as: One of the advantages to writing the equation in cartesian form is that we can easily find the normal
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Accounting Equation Paper Student Course Date Instructor Accounting Equation Paper The accounting equation which we know as Assets equals to Liabilities plus Equity for a sole proprietorship and for a corporation we know it as Assets equals to liabilities plus stockholders & equity. Assets are company owned‚ liabilities are what company owes and the difference between the both of them is the owner’s equity‚ these three things are what the companies
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The goal for this experiment is to determine which out of the four balanced chemical equations best represent the thermal decomposition of sodium bicarbonate. The guiding question will be answered with the outcome of the sodium bicarbonates thermal decomposition and it being plugged in into the four balanced chemical equations. John Dalton atomic theory explains two fundamental laws of chemistry which are the law of conservation of mass and the law of definite proportions. The atomic theory states
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Lines: Equation of a straight line is y = mx + c‚ where m = gradient‚ c = y-intercept. The equation of a line‚ if we know one point and the gradient is found using: (y - y1) = m(x - x1) (If given two points‚ find the gradient first‚ and then use the formula.) Two lines meet at the solution to their simultaneous equations. Note: When a line meets a curve there will be 0‚ 1‚ or two solutions. 1. Use substitution to solve the simultaneous equations 2. Rearrange them to form a quadratic equation
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2: Solving Algebraic Equations - The graduate solves algebraic equations and constructs equations to solve real-world problems. Introduction: An important element of learning is to connect mathematical concepts with physical concepts. Graphical representations of mathematical functions will allow you to visualize the meaning and power of mathematical equations. The power of computer programs and graphing calculators provide a more thorough connection between algebraic equations and visual representation
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Continuity Equations Continuity equation is a equation that explain the transport of a conserved quantity. Since‚ mass‚ energy‚ momentum are conserved under respective condition‚ a variety of physical phenomena may be describe using continuity equations. By using first law of thermodynamics‚ energy cannot be created or destroyed. It can only transfer by continuous flow. Total continuity equation (TCE)‚ component continuity equation(CCE) and energy equation(EE) is applied to do mathematical model
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