The length of time X (in minutes) it takes to go from your home to donwtown is normally distributed with u = the latest time that you should leave home if you want to be over 99% sure of arriving in time for a job interview taking place in downtown at 2pm? 30 minutes and ox 5 minutes. WVhat is %3D

Q: A factory produces bicycles at a rate of 95 + 3t2 − t bicycles per week (t in weeks). How many…

A:

Q: Jack drives from his house to CNSC - Abaño Campus at the rate of 20 kph. Upon reaching the school,…

A:

Q: The Corona Virus, that started to spread in many countries in early 2020, is more contagious than…

A: It is given that: Infection rate = 10 to 25 people per million (PPM) Mortality rate = 1000 to 2500…

Q: Infants, even newborns, prefer to look at attractive faces compared to less attractive faces…

A:

Q: The time spent by a particular type of rat to find its way through a labyrinth is normally…

A: As we are entitled to solve one question at a time I will answer 2nd one as some information is…

Q: The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of…

A:

Q: If a substance is injected into the bloodstream, the percent of the maximum dosage that is present…

A:

Q: A company's total sales (in millions of dollars)t months from now are given by S(t) = 0.03t + 0.5t2…

A: determine an instantaneous rate at time t: by calculating the slope of the curve using…

Q: When no more than 110 units are produced, the cost of producing y units is given by C(x). C(x) =…

A:

Q: A medical test for malaria is given with a false negative rate of 0.5% and it is known that only…

A: From the given information, A medical test for malaria is given with a false negative rate of 0.5%.…

Q: Infants, even newborns, prefer to look at attractive faces compared to less attractive faces…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Infants, even newborns, prefer to look at attractive faces compared to less attractive faces (Slater…

A: Null and alternate hypotheses: The investigator is interested to test whether the mean number of…

Q: The value of a computer t years after purchase is v(t) = 4000e , At what rate is the computer's…

A: we need to find rate of change with respect to time of v(t)

Q: A factory produces bicycles at a rate of 95 +4812- 4t bicycles per week (t in weeks). How many…

A:

Q: A population of mites growsat a rate proportional to the number present, y. If the growthconstant is…

A: Assume population at time t is p Let f(t)=population at time t=p

Q: The length / of a rectangle is increasing at a rate of 2 cm/s while the width w is decreasing at a…

A:

Q: A study is made for particular allergy medication in order to determine the length of relief it…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of…

A: We will formed a differential equation and then solve it to get amount of blood

Q: A medical researcher says that less than 86% of adults in a certain country think that healthy…

A:

Q: The heat index (HI) is an estimate of the temperature felt by the human body based on the actual…

A:

Q: Suppose that a person learns y items in x hours, as given by y = 40/x, 0sxs4. Find the rate of…

A: Let y represent items and x represent hours Given y=40x To find rate of learning at the end of 1…

Q: customers turn up only about 95% of the time. A flight can accommodate 40 passengers and each seat…

A:

Q: The tank shown below contains 80 Ibs of salt dissolved in 500 gal of water. The inflow per minute is…

A:

Q: It is estimated that t years from now the population of a certain lakeside community will be…

A: The population is changing at the rate of 0.6t2+0.2t+0.5 thousand people per year. That is,…

Q: The leadership of Newhampton is beginning to draw up their 2025-2030 five-year plan. In order to…

A: Given that Et represents enrollment of students in t years. At t=0, enrollment is: E0=2000 At t=15,…

Q: The rate at which the total average of COVID cases is de 1 tent per day, given increasing at r = 10…

A: Given,           The rate at which the total average of COVID cases is dr increasing at x = 10 tents…

Q: Suppose that a person learns y items in x hours, as given by y = 40/x, 0sxs 4. Find the rate of…

A: The given function is y=40x,   0≤x≤4. Obtain the derivative as follows.…

Q: An amplifire is having a gain of 500 without feedback.If negative feedback is applied.the gain is…

A: Given:    Av   =  500    Avf   = 100

Q: Given k(x) = -2x , approximate k (3) by finding the average rate of х — 1 change of k(x) on [2, 4] .…

A: Given that       k(x) = -2x/(x - 1) we have to find the approximate value of k'(3), which is the…

Q: When a company sells a product with a lifetime guarantee, the number of items returned for repair…

A: This question related to integration.

Q: Several surveys in the United States and Europe have asked people to rate their happiness on a scale…

A: For those in one income group (making $25,000 to $55,000) it was found that their "happiness" was…

Q: he Corona Virus, that started to spread in many countries in early 2020, is more contagious than the…

A:

Q: A manufacturer of flashbulbs knows that 5 percent of his product is defective. Suppose he will…

A: Question: A manufacturer of flashbulbs knows that 5 percent of his product is defective. Suppose he…

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: We have to find the differential equation for the population growth.

Q: A factory produces bicycles at a rate of 95 + 432t² – 12t bicycles per week (t in weeks). How many…

A:

Q: The cost of health care varies from one country to another. In some country, between 2000 and 2010,…

A: Given that  The function  To find the area between the graphs from x=0 to x=10

Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

A:

Q: The length of a rectangle is increasing at a rate of 9 cm/s and Its width is increasing at a rate of…

A: Length of rectangle, x= 7 cm, Width of rectangle, y= 4 cm, Rate by which length is increasing is…

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A:

Q: The monthly output of a certain product isQ(x) = 2400x5/2where x is the capital investment in…

A: The monthly output of a certain product is Q(x) = 2,400x5/2, where x is the capital investment in…

Q: Estimate h' (3) using the table above.

A: first find slope between 2.9 and 3

Q: You own one of the stores in the newly opened City Mall. Your initial sale is 4,666.7, fortunately…

A: Here, given that your sale triples every 3 hours and t = time in hours, at t=0 and your initial sale…

Q: The size of a stray cat population at the bay area of a certain city grows at a rate of 7% monthly.…

A:

Q: The value of residual at y = 48 and x = 325 is = places)

A: Let x denote the number of pages.  It is given that The regression equation of y on x is y = 35.3 +…

Q: A company specializing in building robots that clean your house has found that the average amount of…

A: Let A= average value E=marginal error B=correct value So, the range of B is: A-E≤B≤A+E

Q: Started at the same time from a very flat surface and 8 mm apart, two snails are vertically climbing…

A: Given query is to find the rate of change if distance.

Q: During a certain epidemic, the number of people that are infected at any time increases at a rate…

A: image is attched

Q: Several surveys in the United States and Europe have asked people to rate their happiness on a scale…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.