Math Answers

You are planning to buy a cellphone with a good quality in order to attend the online class. The average price of 50 cellphones is Php13,600 with a margin of error of Php 283.75 and a confidence level of 90%. Show solution if necessary

What is the lower limit?

What is the upper limit?

What is the confidence interval?

If you have F13.200.00, is the amount lies within the confidence interval?

The length of confidence interval is?

The General Electric Company claims that the life of LED light bulbs are has a mean life of 500 hours with the standard deviation of 50 hours. Test the claim of the manufacture if a random sample of 80 LED light tested and found out to be 450 hours only. Use 5% level of significance.​

using the digits 1942. how can you make it equal 1

• Let P(x, y) be the statement “student x has taken class y”, where the domain for x consists of all students and y consists of all computer engineering courses at your school.

• Express each of the quantification in English sentences

1. ∀x ∀y P(x,y)

2. ∀x Ǝy P(x,y)

3. Ǝx ∀y P(x,y)

4. Ǝx Ǝy P(x,y)

For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343 has an even sum of digits: 3 + 4 + 3 10 which is even.) Find the answer and explain why it is correct in at least two different ways.

In a farming community, 30% of the farmers grow oranges only, 10% grow lemons only and 4% grow both oranges and lemons.

1.1) What proportion of farmers in the community grow either oranges or lemons? [3 marks]

1.2) If a farmer is chosen randomly from these in the community, what is the probability that he grows neither oranges nor lemons? [2 marks]

1.3) Of all the farmers who grow oranges, what proportion grow lemons also?  [2 marks]

If c>0, then the following equality holds,

the integral from a to b dx/x equals to the integral from ac to bc dx/x.

Show your work and an explanation for each step.

Diameters of bolts produced by a particular machine are normally distributed

with mean 0.760 cm and standard deviation 0.012 cm. Specifications call for

diameters from 0.720 cm to 0.780 cm.

 A government agency was charged by the legislature with estimating the length of time it takes citizens to fill out various forms. Two hundred randomly selected adults were timed as they filled out a particular form. The times required had mean 12.8

 minutes with standard deviation1.7 minutes. Construct a 90%

 confidence interval for the mean time taken for all adults to fill out this form.

The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.4

seconds and a standard deviation of 0.05 seconds. Use R to find the

(a) probability that a reaction requires more than 0.5 seconds.

(b) probability that a reaction requires between 0.4 and 0.5 seconds.