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Among 157 African American men, the mean systolic blood pressure was 146 mm Hg with a standard deviation of 27. We wish to know if based on these data, we may conclude that the mean systolic blood pressure for a population of African American is greater than 140. Use Ξ±=0.01.

It has been reported that the average credit card debt for college seniors is $3262. The student senate at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is $2995, and the population standard deviation is $1100. Let’s conduct the test based on an alpha = 0.05.

A student has three mangos two papayas and two kiwifruits .if the student eats one piece of fruit each day and only the type of fruits matters ,in how many different ways can these fruits be consumed ?


How many outcomes are obtained from rollings n indistinguishable dice ?


a. The points 𝐴,𝐡 and 𝐢 have co-ordinates (βˆ’1,2),(1,1) and (2,3) respectively. Sketch the triangle 𝐴𝐡𝐢 .By calculating the lengths of the sides of this triangle, determine if it is scalene, isosceles, or equilateral.

b. Find the distance 𝑀𝐡, where 𝑀 is the midpoint of 𝐴𝐢, and hence find the area of the triangle 𝐴𝐡𝐢.


a. The points 𝐴,𝐡 and 𝐢 have co-ordinates (βˆ’1,2),(1,1) and (2,3) respectively. Sketch the triangle 𝐴𝐡𝐢. By calculating the lengths of the sides of this triangle, determine if it is scalene, isosceles, or equilateral.


The line joining the point 𝐴 (4,6) π‘‘π‘œ 𝐡 (𝑏,βˆ’3) has a gradient of 3. Find the value of 𝑏.


𝑃 and 𝑄 are the points (3,1) and (βˆ’2,βˆ’9) respectively. Calculate:

a. The distance 𝑃𝑄

b. The midpoint of the line joining 𝑃 to 𝑄

c. The gradient of the line 𝑃𝑄

d. The gradient of a line perpendicular to 𝑃𝑄



How many strings of length n can be formed from the English alphabet ?


In how many ways can a committee of 5 teachers and 4 students be chosen from 9 teachers and 15 students ?


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