Author's latest answers

What is the expression that gives the area of the rotational surface formed by rotating the curve segment with equations x = t^3 and y = 2t +3 around the y axis, provided that -1<=t<=1?

X(x-1) y’ + y(y-1) using separating differencialne rovnice

Create a data set of 7 numbers with a mean of 20, a median of 15 and a mode of 10.

A crawler hoe having a 2.5-cy bucket and whose cost per hour, including the wages to an operator, is $109 will excavate and load haul units under the stated conditions as - depth of excavation is 12 feet, angle of swing is 80 degrees, percent swell is 14 and efficiency factor is 55 min per hour. The maximum digging depth of the machine is 22 feet. Use load bucket time 6 sec; swing loaded time 6 sec; dump bucket time 4 sec and swing empty time 5 sec. Determine the cost per bank cubic yard for the material sand and gravel. Show all the calculations with all the required checking.

1000 ml flask of 0.9% sodium chloride solution is to be slowed down from a 6 hourly rate to an 8 hourly rate what is the new rate in drops per minute assume the use of a standard macro drip giving set

If 1 litre cost £10.99 how much is the cost of 20 ml

In a rectangle, one side is 7 cm longer than the other and the diagonal is 13 cm. Calculate the area of ​​the rectangle

Suppose that the proportion of people who are randomly searched at an airport is p=0.15 The security and customs administrator at this airport suspects that they have been screening people less lately and wants to know if in fact p = 0.15 so he decides observe 30 randomly selected people at the airport and observe that 3 people were checked. When calculating the proportion of his sample he obtained p = 0.10 What should be the null hypothesis (Ho) vs alternative hypothesis (H1)?

y''+2y'-8y=0, y(0)=3, y'(0)=-12

2. A factory has a quality control standard that consists of randomly selecting 20 items produced daily and determining the number of defective units. If there are two or more defective units, manufacturing stops for an equipment inspection. It is known from experience that the probability that a produced item is defective is 5%. Find the probability that on any day production will stop when applying the standard.