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An industry manufactures bus tyres that have an average lifetime of (42569) kilometers with a standard deviation of (2569) kilometers and the distribution of lifetime of the tyres is normal.



1-Find the probability of tyre’s lifetime is between (40069) km and (45069) km



2-What is the lifetime in km, that 69 % of tyres exceed?


Your parents set up a trust fund for you 10 years ago that is now worth R19 671,51. If the fund earned 7% per year, how much did your parents invest?


Write the formula to find massof an object in 2-D coordinate system

A youngathlete wishes to test if the average cost of men's athletic shoes is less than P4000 compared to the claim that it is at least P4 000. He selects a sample of 36 pairs of shoes from a catalog and finds the average cost to be P3 790. The standard deviation of the population is P660. What is the probability of committing a type I error


Find the asymptotes of y^2(a+x) =x^2(3a-x) parallel to coordinate axes



seven students were on a diet in an attempt to lose weight with two losing weight while all the others gaining weight. is the diet an effective way of losing weight in business statistics


A certified public accountant claims that more than 30% of all accountants advertise. A sample of 400 accountants in Rizal province showd that 112 had used some form of advertising. At a ?0.01, is there enough evidence to support the claim? (Use p-value method)

Average Senior High School annual cost of tuition fee for all private schools last year was Php43,700. A random sample of costs this year for 45 private schools indicated that the sample mean was Php45,800 and a sample standard deviation was Php5,600. At 0.01 level of significance, is there sufficient evidence to conclude that the cost increased?

seven students were on a diet in an attempt to lose weight with 2 losing weight while the rest gaining weight. is the diet an effective way to losing weight


Find the derivative of the given function.


1.) y = (x ^ 3 - 3)(x ^ 2 + 4x + 1)


2.) y = (7x + 3)(x ^ 4 - x ^ 3 - 9x)


3.) y = x ^ 2 * (2x ^ 2 + x + 1)


4.) y = (x ^ 2 - 10x + 2)(x ^ 3 - 2x ^ 2 + 1)


5.) y=(x^ 2 -2x-1)(x+)


6.) y= sqrt x( x^ 3 -2x^ 2 +7x-1)


7.) t = x ^ (1/3) * (x ^ 2 - 5x + 2)


8.) y = (5x ^ 2 - 13)(x ^ 3 + 6x + 1)


9.) y=x^ -2 (x^ 2 +7


10.) x ^ - 5 * (x ^ 2 + 10x - 5)


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