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How many children belong to the upper 15% of the group?

How many children have heights between 98 cm and 104 cm?

How long will it take a vehicle traveling 72 kilometers per hour to go 36 kilometers?


As studied, the average number of hours spent by senior high school students for their online classes a week is 25 hours with a standard deviation of 4 hours. Assuming that study is true and the data is normally distributed.


Find the probability that a randomly selected senior high student spends more than 26 hours but less than 29 hours.

A pair of fair dice is rolled. Let X the random variable representing the sum of the numbers that appear.



A. Construct the probability distribution of X for a pair of dice.



B. Find P(X≥ 8)



C. Find P(X≤ 7)



D. Find the probability that X takes an even value.



E. Find P(3 ≤X≤ 10)





1) Find the tangent line to the graph given by x^2(x^2+y^2)=y^2 at the points(√2/2, √2/2)


Let G be multiplication group all positive real number and R the additive group of all real number. Is G a subgroup of R? explain


A number of years after Andile deposited the R1000 into the second account, the accrued amount in the second account is 1605.What is the time the money was invested for in years?

Andile deposits R900 into a savings account paying 6,5% interest per year, compounded quarterly. After three and a half years he withdraws R1000 from the account and deposits it into a second account paying 11% simple interest per year. How much is the total amount accrued in the first account two years after withdrawing the R1000?

Two balls are drawn in succession without replacement from a box containing 5 red balls and 6 blue balls. Let Z be the random variable representing the number of blue balls. Find the values of the random variable Z.


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