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A random variable has a moral distribution with mean of 60 and standard deviation 4. Find the percent data with each interval

a. Between 60 and 70

b. Between 53 and 60

c. Between 54 and 71

d. Greater than 65

c. Less than 62.48


use the Bisection method with 3 iterations to find solutions for f(x) = x ^ 3 + x - 4 on interval [1, 4] .

Brine containing 3 lbs./gal of salt enters a large tank at the rate of 2 gals / min and the mixture well stirred leaves at 1.5gal / min. If the tank contains initially 100 gal of water, with 4 lbs. of dissolved salt.


a ) Find the amount of salt in the tank at any time t in minutes .


b ) Find the amount of salt in the tank after 4 minutes.

A square ABCD and PQ are the midpoints of BC and CD. If AP=a and AQ=b .find in terms of a and b the directed line segment AB


Which of the options in this scenario are correct? A car dealership has 10 BMWs , 5 KIAs , and 15 AUDIs. The ratio 3:2 compares.


A population consists of the four numbers 1,2,4 and 5 .list all the possible samples of size n=3 which can be drawn with repalcement from the population.find the following:

A .population mean b. Population variance c.population standard deviation d.mean of the sampling distribution of sample means e. Variance of the sampling distribution of sample mean f. Standard deviation of the sampling distribution of sample means






A baskets contains 12 red balls and 5 white balls.If four balls are taken from the basket one after the other,determine the possible values of the random variable R representing the number of red balls

Five balls are drawn in succession without replacement from an urn containing 5 orange balls and 6 violet balls.Let V be the random variable representing the number of violet balls. Find the values of the random variable V

Three coins are tossed.Let T be the random variable representing the number of tails that occur. Find the values of the random variable T.

Use the rules of differentiation to differentiate the following functions.



a. f(x)=2x²+6x


b.g(x)=7x⁴-3x²


c.y(x)=(4x)³- 18x²+6x


d.h(x)=(3x+4)²


e.h(x)=9x⅔+2/4√x

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