Math Answers

Mike Marquez purchased a lawn tractor for Php 9,000. He made a down

payment of Php 1,000 and financed the rest at 7% payable in 24 months. He paid off

the loan at the end of the fifteenth months. Find the amount of his refund using the rule

of 78s.

A random sample of 100 recorded deaths in the country in 2011 showed an average lifespan of 71.8 years with a standard deviation of 8.9 years. Does this seem to indicate that the average lifespan today is greater than 70 years? Use 0.05 as level of significance.

A random sample of 100 recorded deaths in the country in 2011 showed an average lifespan of 71.8 years with a standard deviation of 8.9 years. Does this seem to indicate that the average lifespan today is greater than 70 years? Use 0.05 as level of significance.

Find two members of the family of solution in problem 5 that satisfy the initial condition y(0)=0, y'(0)=0.

y''-10y'+25y=0 find general solution of the given second order differential equation.

y''-25y=0; y1=e^5x the indicated function y1(x) is a solution of the given differential eqution.Use reduction of order or formula as instructed, to find a second solution y2(x).

solve: /3x^2+2x/=x/3x+2/

A news company reported that 6% of adult Americans have a food allergy. Consider selecting 15 adult Americans at random. Define the random variable x as

x = number of people in the sample of 15 that have a food allergy.

Find the following probabilities. (Round your answers to three decimal places.)

(a)

P(x < 3)

(b)

P(x ≤ 3)

(c)

P(x ≥ 4)

(d)

P(1 ≤ x ≤ 3)

Through careful record-keeping, you have the times to burn out of 250 Bright brand light bulbs. The average time to burn out is 400 hours, with a standard deviation of 14 hours. Give a 95% confidence interval for the meantime to burn out of this brand of the light bulb. Round your answers to 4 decimal places

You would like to know the average hourly wage in your area. You ask 32 people, and find a sample mean of $10.75. The population standard deviation is $3.69. (Assume that the distribution is normal.)

Round your answers to 2 decimal places

a.) Find the Point Estimate for the mean hourly wage

b.) Find the 95% margin of error for the mean