An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W. What is the critical value with a level of significance of 0.05 and what is the test statistic and what is the p value? Question solved general 3 months ago 2372
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 3/4 for the flowers tolast the longest. Her cylinder vase has a radius of 4 inches and a height of 10 inches. How much water should Mary pourinto the vase? Question solved general 3 months ago 1911
You are designing a 1000 cm^3 right circular cylindrical can whose manufacture will take waste into account. There is no waste in cutting the aluminum for the side, but the top and bottom of radius r will be cut from squares that measure 2r units on a side. The total amount of aluminum used up by the can will therefore beA = 8r^2 + 2pi rhWhat is the ratio now of h to r for the most economical can? Question solved general 3 months ago 6133
An electrolyte solution has an average current density of 111 ampere per square decimeter \left( \dfrac{\text{A}}{\text{dm}^2}\right)( dm 2A )left parenthesis, start fraction, start text, A, end text, divided by, start text, d, m, end text, squared, end fraction, right parenthesis.What is the current density of the solution in \dfrac{\text{A}}{\text{m}^2} m 2A start fraction, start text, A, end text, divided by, start text, m, end text, squared, end fraction? Question solved general 3 months ago 6257
Fill in the missing work and justification for step 2 when solving 3(x + 2) = 12.Step Work Justification1 3(x + 2) = 12 Given2 3 3x + 6 − 6 = 12 − 6 Subtraction Property of Equality4 3x = 6 Simplify5 Three times x over three equals six over three Division Property of Equality6 x = 2 SimplifyA. 3x + 6 = 12; Distributive PropertyB. 3x + 2 = 12; Distributive PropertyC. 3x + 6 = 12; Multiplication Property of EqualityD. 3x + 2 = 12; Multiplication Property of Equality Question solved general 3 months ago 9549
The measures of angles $A$ and $B$ are both positive, integer numbers of degrees. The measure of angle $A$ is a multiple of the measure of angle $B$, and angles $A$ and $B$ are complementary angles. How many measures are possible for angle $A$? Question solved general 3 months ago 7987
What is the maximum value of the feasible regions if P = 120x + 100yRegion 1 (0 ,5)Region 2 ( 0, 4)Region 3 (4,0)Region 4 (3,0) Question solved general 3 months ago 5502
Find all zeros of f(x)=x^4-3x^3+6x^2+2x-60 given that 1+3i is a zero of f(x) Question solved general 3 months ago 9610
The part of the sphere x2 + y2 + z2 = 16 that lies above the cone z = x2 + y2 . (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of u and/or v.) where z > x2 + y2? Question solved general 3 months ago 6009
During the first hour of operation the farm stand owner sold 15% of the apples he had. On the second hour he sold 20% of the remaining apples. On the third hour he sold 25% of the remaining apples, and so on, selling 5% more each following hour.b) If during the second hour 25.5 kg of apples were sold, how many kilograms of apples will be sold during the fourth hour of operation? Question solved general 3 months ago 5325
The probability of a football team winning a match is 0.3. The probability of the same football team losing a match is 0.55. What is the probability of the same football team drawing a mathc? Question solved general 3 months ago 2563
Given sin θ = square root of 23 divided by 12 and tan θ = square root of 23 divided by 11, find cos θ. Enter the answer as a fraction in lowest terms. Question solved general 3 months ago 2948
The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation T(t) = 69e−0.0174t + 79. To the nearest degree, what is the temperature of the object after one and a half hours? Question solved general 3 months ago 3512
Suppose that x has a binomial distribution with n = 50 and p = .6, so that μ = np = 30 and σ = np(1 − p) = 3.4641. Calculate the following probabilities using the normal approximation with the continuity correction. (Hint: 22 < x < 37 is the same as 23 ≤ x ≤ 36. Round your answers to four decimal places.) g Question solved general 3 months ago 7896
Finn's Mimstoon Rental Company charges an initial fee of $18 plus anadditional $31 per day to rent mimstoon's. Pocahontas's MimstoonRental Company charges an initial fee of $35 plus an additional fee of$29 per day. After how many days will the total cost charged by thecompanies be the same? Round to the nearest day. Question solved general 3 months ago 2414
CHAPTER SUMMARY647Using x skilled and y anskilled workers, a manufacturer can produce Q(x, y) = 60x^1/3y^2/3 units per day.Currently the manufacturer employs 10 skilledworkers and 40 unskilled workers and is planningto hire 1 additional skilled worker. Use calculus toestimate the corresponding change that themanufacturer should make in the level of unskilledlabor so that the total output will remain theER SUMMARYsame. Question solved general 3 months ago 4618
A study was conducted in order to estimate ?, the mean number of weekly hours that U.S. adults use computers at home. Suppose a random sample of 81 U.S. adults gives a mean weekly computer usage time of 8.5 hours and that from prior studies, the population standard deviation is assumed to be ? = 3.6 hours.Based on this information, what would be the point estimate for ??(a) 81(b) 8.5(c) 3.6(d) None of the above.We are 95% confident that the mean number of weekly hours that U.S. adults use computers at home is:(a) between 8.1 and 8.9.(b) between 7.8 and 9.2.(c) between 7.7 and 9.3.(d) between 7.5 and 9.5.(e) between 7.3 and 9.7.Which of the following will provide a more informative (i.e., narrower) confidence interval than the one in problem 3?(a) Using a sample of size 400 (instead of 81).(b) Using a sample of size 36 (instead of 81).(c) Using a different sample of size 81.(d) Using a 90% level of confidence (instead of 95%).(e) Using a 99% level of confidence (instead of 95%).(f) Both (a) and (d) are correct.(g) Both (a) and (e) are correct.How large a sample of U.S. adults is needed in order to estimate ? with a 95% confidence interval of length 1.2 hours?(a) 6(b) 12(c) 20(d) 36(e) 144 Question solved general 3 months ago 9227
How would you describe the relationship between the real zeros and x-intercepts of the function y=log4(x-2) Question solved general 3 months ago 4767