Mr Hail, Miss rain and Mrs Snow all apply for a job as a park keeper. Whichever one gets the job will have to open the gates of the park at 5.30 am. If Mr Hail gets the job, he will only open the gates on time 50% of the time. If Miss rain gets the job she will only open the gates on time 40% of the time. If Mrs Snow gets the job she will always open the gates on time. Assume that Mr hail has a 40 % chance of getting the job, and that Miss rain and Miss Snow each have a 30 % chance of getting the job. What is the probability that the parks gates will be opened on time ? Question 39Select one: a. 0.6200 b. 0.3500 c. 0.2000 d. 0.3200   Refer to the question above. Using the same data, if the gates are opened on time, what is the probability that Mrs Snow got the job? Question 40Select one: a. 0.0857 b. 0.3429 c. 0.4839 d. 0.5061

Q: A car is regularly passed through a traffic signal. Out of 100 times a car passed, it got a green…

A:

Q: Consider the integral dx. This cannot be computed using the fundamental theorem of calculus. If you…

A: Computing the given integral using fundamental theorem of calculus is not possible as ex² has no…

Q: We want to use a sample of size 20 to perform a two-tailed hypothesis test. Using d=0.05 and…

A: Solution-: Given:  sample size, n=20,α=0.05 Perform two tailed hypothesis We find the critical…

Q: Use the Laplace transform to work out the solution of the following initial value problem. - cost if…

A:

Q: Suppose a population has a mean of 100 and a standard deviation of 15. If repeated samples of size…

A: Given: n = 25 σ=15μ=100 The standard deviation of the sample means can be calculated as: σX=σn

Q: Show work please and r studio.

A: Given The data is as follows: Sample size, n=58Sample mean, x¯=0.0328Pop. sd, σ=0.015CL=95%

Q: The slope field above is drawn in the ty-plane. Add these two solutions to the slope field: • Sketch…

A: We are given the following slope field in the ty - plane. The sketch of the approximate solution…

Q: Let R be a commutative ring and let A be an ideal of R. Show that VA = {xe R: x" e A for some…

A:

Q: The population of a town grows at a rate proportional to the population present at time t. The…

A: t=50,  person.

Q: In a random sample of 37 criminals convicted of a certain crime, it was determined that the mean…

A: Given data n=37 mean=61 standard deviation=8 confidence interval=95%

Q: My uncle comes to visit me every 9 days.  My aunt comes to visit every 15 days.  They were both here…

A: We have to find the days from now they will be together again.

Q: Plotting the Envelope for Beats. For each of the functions in Exer- cise Group 4.4.6.7-10 compute…

A: Definition of Envelope of y(t):Suppose the spectrum of a signal is located at  where If  can be…

Q: c. Ignore for now the months since the last maintenance service and the type of repair associated…

A: Given: n=10 Bob Jones is coded as 0. Dave Newton is coded as1.

Q: give 5 ordered pairs of a many to one correspondents

A: We know the definition of many to one correspondents, Many to one correspondence is a function or…

Q: 10 A bag contains 4 red and 5 green marbles. A child grabs 2 marbles without looking. What is the…

A: Note: As per Bartleby Rule, only one question should be solved at a time, so kindly post other…

Q: This is the idea of a slope field graph: 1. Our goal is to sketch the unknown function y (t). 2. We…

A: Basic propoerties of the curve y(t). The curve y(t) touches the tangent at every point. It never…

Q: At the end of each week, the inventory for each cookie is equal to the amount baked plus the…

A: The option that models the given constraint is: Ii,t= Ii,t-1 + xi,t - di,t  ∀i=1,.....,m…

Q: Please help me number 8. Thanks!

A: Let  V the subspace of Rn, then the orthogonal complement of V is also subspace of Rn .

Q: Need help with c and d \

A: A data table of cumulative labor hours  and the number of weeks  is given.To Find:c) When the…

Q: 4a) Given the parent function y = x², list the transformations that occurred based on the new…

A:

Q: If I set off a journey at 2:49pm and travel for one and three quarter hour .what time will I arrive?

A: one and three quarter means 60 +45 minutes  therefore, I travelled 105 minutes  add 1 hour  from…

Q: give 5 ordered pairs of a one to many correspondents

A:

Q: Shirt price: $46 Tax: 8% What is the total you will pay for the shirt ?

A: Given: shirt price=$46 Tax:8% Now, Tax=8% of $46      =0.08×$46      =$3.68 Total =shirt price+Tax…

Q: A particle is moved along the x-axis by a force that measures F (x) = 2x Newtons at each point x…

A:

Q: Amelie works on her homework for hour before her soccer practice and hour after her soccer practice.…

A: For the fraction, pq, the numerator is p and the denominator is q. If two fractions with same…

Q: Question.4 (a) Use a graphing utility to estimate the absolute maximum and minimum values off, if…

A:

Q: Help Save & Exit Judith receives an annual salary of $37,500 based on a 37.5-hour workweek. What are…

A:

Q: Convert the complex number 9/3 9 i to polar form. Give exact answers for r and 0 (no decimals).

A:

Q: "Differentiate both sides of the equation V = Tr*with respect to t AP (using the chain rule on the…

A:

Q: ulol mo ulo mo EDIT Active Now Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in…

A:

Q: If f(x) <g(x) for every x in [a,b], then S'f(x) dx < S° g(x)dx, unless f(x)=g(x) for all x.

A: Given that f(x)&lt;g(x) for every x in [a,b].Then the sum of all values of f(x) will be less than…