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In a survey of 130 people, the following data were collected: 106 people subscribed to the newspaper, 29




people subscribed to magazines, and 17 people were members of a mail CD club. Seventeen subscribed to



both the newspaper and the magazines, 5 people subscribed to magazines and were members of a CD



club, and 10 people subscribed to the newspaper and were members of a mail CD club. Three people



subscribed to both the newspaper and magazines and were members of a mail CD club. Make and fill in a



Venn diagram to illustrate this situation

Find the solution of the system of linear equation by using augmented matrix.


\left. \begin{array} { l } { x _ { 1 } - 2 x _ { 2 } = 0 } \\ { 3 x _ { 1 } + 4 x _ { 2 } = - 1 } \\ { 2 x _ { 1 } - x _ { 2 } = 3 } \end{array} \right.

annual payment php 2,000.00 at the end of each term for 5 years with interest rate of 7.5% compounded quarterly.find the present and the future value

  Two dice are rolled. Let B be the random variable representing the number of

            outcomes with 6 turn up. Find the values of the random variable B.

 


1. Twenty thousand pesos is a deposit in an account that pays 8% interest. Find the account balance after 10 years if the interest is compounded quarterly.


2. John deposit 5,000 pesos in a bank paying 12 % compounded quarterly. After 4 year's, john decided to close her account. How much money would she be able to get from the bank?




 If S := {1/n - 1/m: n, mEN}, find inf S and sup S


The adiabatic law (no gain or heat loss) for the expansion of air is PV 1.4 = C, where P is the pressure in lb/in^2, V is the volume in cubic inches, and C is a constant. At a specific instant, the pressure is 40 lb/in^2 and is increasing at the rate of 40 lb/in^2 each second. If C = 5/16, what is the rate of change of the volume at this instant?


An electrical firm manufactures light bulbs that have a length life of that is approximately normally distributed with a mean of 800 hours and a standard deviation of 40 hours. Test the hypothesis that 𝜇 = 800 ℎ𝑜𝑢𝑟𝑠 against the alternative μ ≠ 800 hours if random sample of 30 bulbs has an average life of 788 hours. Use a 0.01


find the inverse of this matrix


A= 1 3 5 4


7 2 9 6


find the inverse of this matrix by using Gausian method


A= 4X + 5Y = 6


X + 5Y = 3


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