Alan and Soren are roommates. They both leave their jobs at the same time to go back to their apartment. • Alan works 6 miles away from the apartment and rollerblades from his workplace to the apartment at a constant rate of 7 miles per hour. • Soren works 8 miles away from the apartment and bikes from his workplace to the apartment at a constant rate of 12 miles per hour. Part A How much time, in hours, do Alan and Soren have to travel to be the same distance from their apartment? Show all the steps you took to find your answer. Respond in the space provided. Part B Who will get back to their apartment first? How much less time, in hours, villi take this person to get home than the other person? Show or explain how you determined your answer. Respond in the space provided.

Q: Question 12

A: Given: Value of the trading card = $155 (in 2009) Each year increases by = 4.8% = 0.048 To…

Q: 7/3+4/5+1/3=

A: Given: 73+45+13 To find: We have to calculate the value.

Q: Do dominant and subordinate individuals differ in the means of giggle spectral CV?

A: For Group : Dominant Individual Standard Deviation, s: 0.05410 Count, N: 9 Sum, Σx: 2.755…

Q: Question 26

A: We have given a graph which represent the derivative f' of some function f. we have to draw the…

Q: 60. f -1 | f' f" -1

A: According to the sign chart, we have

Q: Question 5

A: From the provided information, Number of trials (n) = 100 Probability of getting tails (p) = 0.5

Q: 0 1 2 4 0 0 1 3

A:

Q: L43 L2) De termine a para metriaation for right circular cone with vertex and slant height S.…

A: To write the parametrization of a right circular cone: z=x2+y2 xz trace, z=x2+0  =x2z=x yz trace,…

Q: A = 1 1 0 0 1 -1

A: Note the following fact :

Q: Question 12

A: (12)(a) Given, f(x)=2x-6 such that f:ℝ→ℝThe function f(x) is a linear function. The f(x) is defined…

Q: Question 12

A: We are given the following shapes. For (a), We need to find the volume of the box as a function of…

Q: Question 20

A: Given Data :  General form of the sequence an=2(an-1)+1, a1=4 To Find : The first four terms of the…

Q: 13) De termine the surface area of the spiral ramp parametrized by = u cosQu) i + usin(2v)5 +vk with…

A:

Q: -3 -10

A: The given equation is:  -3   2÷-10    7

Q: question

A:

Q: 27. 3xv2 v' = 3x4 + v3

A: Given    3xy2y' = 3x4+y3  .......(1)(1) Can be written asy'-y3x=x3y-2y'+P(x)y = q(x)yn (Bernoulli…

Q: Question 54

A:

Q: 1/3+4/5=

A:

Q: 54. -2 0.

A: (54) One of the possible graph for the given sign chart of f' is,

Q: 1/4 + 1/2 + 3/8 =

A: We need to find sum.

Q: a. Estimate the mean change in oxygen o consumption during feeding dives compared with nonfeeding…

A: Non-Feeding (X) Feeding (Y) D = Y -X (D-Dbar)^2 42.2 71 28.8 105.6784 51.7 77.3 25.6 181.7104…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!