Math Answers

INTERVAL ESTIMATE

4. Suppose that the amount of time spend by working student weekly is normally distributed with the standard deviation of 25 minutes. A random sample of 125 observations is drawn and the sample mean is computed as 150 minutes. Determine the 95% confidence interval estimate of the population mean.

Find the equation (formula) of a sphere with radius r and center C(h, k, l) and show that x² + y² + z² - 6x + 2y + 8z - 4 = 0 is an equation of a sphere. Also, find its center and radius

INTERVAL ESTIMATE

4. Suppose that the amount of time spend by working student weekly is normally distributed with the standard deviation of 25 minutes. A random sample of 125 observations is drawn and the sample mean is computed as 150 minutes. Determine the 95% confidence interval estimate of the population mean.

Directions: identify the test tool use in a certain problem

1. Hospital Infections A medical investigation claims that the average number of infections per week at a hospital in south-western Pennsylvania is 16.3. A random sample of 10 weeks had a mean number of 17.7 infections. The sample standard deviation is 1.8. Is there enough evidence to reject the investigator's claim at alpha = 0.05 ?

Type of test:

Reason/s:

In a set vein, a certain examination, 72 candidates offered Maths, 64 offered English, 62 offered French, 18 offered both Maths and English, 24 offered Maths and French, and 20 offered English and French. While 8 candidates offered all the three subjects. How many candidates were there for the examination?

For y ∈ Z, prove that 9y² + 3y − 2 is even.

If x is an odd integer, then x

2 + 3x + 5 is odd. (Use Direct Proof)

The mayflower is the Massachusetts State flower and Nova Scotia's provincial flower. It has five petals. Imagine that the petals are numbered 1, 2, 3, 4 and 5 in a clockwise order. A ladybug has landed on petal number 1. She begins to jump in a counterclockwise direction from one petal to another, around the flower. When she jumps from an odd-numbered petal, she skips a petal. When she jumps from an even-numbered petal, she jumps to the next petal. Since it is the year 2018, she has decided to make 2018 jumps. What number petal will she be when she stops jumping?

Find the equation of the curve having y’ = 2x – 5 that passes through (5,4). 

A, B and C are on a betting game. B loses Php 350 of his money to A. As a result, A now has twice as much as what is left with B. Then, C loses Php 700 to B. As a consequence, C now has only one-third as much money as B would then have. If A has loses Php 210 to C, C will have as much as money as A would have left. How much did each have at the start?