Math Answers

find the general solutions of (x+y+2z) dz/dx+(x+y+2z)dz/dy=3z

A quality-control exercise was carried out by ChocCheer for estimating the percentage of defective chocolate

bars in a large shipment of 1 000 boxes with 100 bars in each box. Twenty boxes were chosen at random,

and every bar in them checked. The number of defective bars in each of the boxes are:

8, 10, 4, 3, 11, 6, 9, 10, 2, 7, 6, 12, 9, 11, 6, 3, 14, 9, 5, 4

Choose the CORRECT statement.

[1] The variable is the 1 000 boxes of chocolate bars.

[2] The sample unit 149.

[3] The sample is the 20 boxes of chocolate bars that were selected.

[4] The population is the 100 chocolate bars per box

To save money for a new house, you want to begin contributing money to a savings account. Your plan

is to make equal contributions to the account for eight years. Each contribution will be R18 490,00. The

contributions will come at the end of every three month period, starting three months from now. The savings

account pays 9% interest per annum, compounded quarterly. How much money do you expect to have in

the account at the end of the eight years

Using the definition, show' that the sequence [1/√n]neN is Cauchy.

(d2y/dx2) - y = 4/(1+e^​x)

1. A researcher wants to compare the performance of students living with their parents and

the performance of these students whose parents are working. Random samples were

taken from two normally distributed groups of population. 20 students who are living

with their parents posted an average grade of 89.25 with standard deviation of 2.4,

whereas the 15 randomly selected students whose parents are working abroad have an

average grade of 86.00 with standard deviation of 3.2. Test whether there is a significant

difference between the two groups of students at 0.05 level of significance.

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The probability to win a fund raising lottery is 0.3. What is the probability that exactly 2 out of 5 tickets win?

1. Louie wants to estimate the average value of the lot in his town with 99% confidence interval. Use his random sample of 36 lots with an average value of Php251, 131.42 and a standard deviation of Php1 321.467 to find the confidence interval.

2. A survey conducted for 200 students to determine if they need financial assistance in their studies, it found out that 168 of them needed this assistance. Find the 90% confidence interval for the population proportion of students needing loans or scholarships.

Z= - 220 sqrt (3) + 220i write in exponetial form

Prove or disprove that in Z[x], the ideal <x> + <3> is a principal ideal.