Math Answers

The region bounded by the graphs of y= x² and y= x+2

A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with water. Find the work required to pump all the water over the upper rim.

(Assuming the tank is half-filled with water)

Assume that 10 ft-lb of work is required to stretch a spring 1 ft beyond its natural length. What is the spring constant?

A spring exerts a force of 100 N when it is stretched 0.2 m beyond its natural length. How much work is required to stretch the spring 0.8 m. beyond its natural length?

A flat rectangular plate is submerged horizontally in water

a. Find the force (in lb) and the pressure (in lb/ft²) on the top surface of the plate if its area is 100 ft² and the surface is at a depth of 5 ft.

b. Find the force (in N) and the pressure (in Pa) on the top surface of the plate if its area is 25 m² and the surface is at a depth of 10 m.

A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the last exam. The data was used to make inferences regarding the other students taking the course. There data are below:

8 22.7 14.5 9 9 3.5 8 11 7.5 18

20 7.5 9 10.5 15 19 9 8.5 14 20

Compute a 99% confidence interval.

(3,5,7,9).(3,5,7,9).

[[ Set B ]]

1. Find ALL possible samples of size 2 which can be drawn with replacement from the population.
2. Solve for the mean μ
3. x
4. μx of the sampling distribution of means.
5. Solve for the variance σ
6. x
7. 2
8. σx2 of the sampling distribution of means.
9. Solve for the standard deviation σ
10. x
11. σx of the sampling distribution of means.

Round all answers to the nearest hundredths.

A supermarket owner believes that the mean income of its customers is P50,000 per month. One-hundred customers are randomly selected and asked about their monthly income. The sample mean is P48,500 per month and the standard deviation is P3,200. Is there sufficient evidence to indicate that the mean income of the customers of the supermarket is P50,000 per month? Use α == 0.05.

If x represents the number of voys in a family of 7 children, find the probabbility and distribution

Ms Pitts and Mr Oduse are statistics lecturers. Ms Pitts spends 62% of her day in the stats department. Mr Oduse spends 57% of his day in the stats department. Forty-two (42) percent of the time Ms Pitts and Mr Oduse can both be found in the stats department.

Question 15

What is the probability that only one of these lecturers will be in the stats department when you go to have a consultation?

Question 16

What is the probability that neither of the two lecturers will be in the stats department?

Question 17

What is the probability that only Mr Oduse will be in the stats department?