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- A student throws a regular tetrahedron and a die he recorded the outcome when they settled.
a) Write down the probability sample space for all...(Solved)
A student throws a regular tetrahedron and a die he recorded the outcome when they settled.
a) Write down the probability sample space for all possible outcomes.
b) Find the probability that the numbers appearing on the die and the tetrahedron have a product of 4 or 12.
c) Find the probability that the sum of the numbers on top is 5 or more than 5.
d) Find the probability that both numbers are odd.
Date posted: September 23, 2019. Answers (1)
- Mr. Wangila is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance...(Solved)
Mr. Wangila is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance of sh. 2800p.m. He claims a family relief of sh. 400p.m. He pays sh. 300 per month and 2% of his salary towards water bills and NHIF respectively.
Calculate his net monthly salary in Ksh using the tax rates shown in the table below.
Date posted: September 23, 2019. Answers (1)
- Solve for x in the equation(Solved)
Solve for x in the equation
Date posted: September 23, 2019. Answers (1)
- Use logarithms tables to evaluate(Solved)
Use logarithms tables to evaluate
Date posted: September 23, 2019. Answers (1)
- In the figure below, PQ//SR,SPO=SOR = 900, RS =7cm and QR = 4cm. Calculate the length of PQ correct to three significant figures.(Solved)
In the figure below, PQ//SR,SPO=SOR = 900, RS =7cm and QR = 4cm. Calculate the length of PQ correct to three significant figures.
Date posted: September 23, 2019. Answers (1)
- Solve for x given that:(Solved)
Solve for x given that: 
Date posted: September 23, 2019. Answers (1)
- If Z varies jointly as x2 and the square root of y and z = 18¾ when x = 5 and y = 9.Find...(Solved)
If Z varies jointly as x2 and the square root of y and z = 18¾ when x = 5 and y = 9.Find z when x = 3 and y=16
Date posted: September 23, 2019. Answers (1)
- Simplify:(Solved)
Simplify: 
Date posted: September 23, 2019. Answers (1)
- Momanyi deposited sh. 24,000 in a fixed account for a period of 24 months .The bank pays compound interest on quarterly basis. At the...(Solved)
Momanyi deposited sh. 24,000 in a fixed account for a period of 24 months .The bank pays compound interest on quarterly basis. At the end of this period, Momanyi’s account had ksh. 64,200. Determine the rate at which interest is paid per annum.
Date posted: September 23, 2019. Answers (1)
- Given that sin2x+cos2x=1 solve for X in the equation
Cosx + sinx = 1 for -1800=x=1800(Solved)
Given that sin2x+cos2x=1 solve for X in the equation
Cosx + sinx = 1 for -1800≤x≤1800
Date posted: September 23, 2019. Answers (1)
- If X = 33.5 and y = 33.1 both being correct to one decimal place, calculate the maximum possible percentage error in X-y(Solved)
If X = 33.5 and y = 33.1 both being correct to one decimal place, calculate the maximum possible percentage error in X-y
Date posted: September 23, 2019. Answers (1)
- The expression px2+12x+4p+9x where p is a constant is a perfect square. Find the value of p.(Solved)
The expression px2+12x+4p+9x where p is a constant is a perfect square. Find the value of p.
Date posted: September 23, 2019. Answers (1)
- Use logarithms to 4 decimal places to evaluate:(Solved)
Use logarithms to 4 decimal places to evaluate:
Date posted: September 23, 2019. Answers (1)
- Simplify:(Solved)
Simplify: 
Date posted: September 23, 2019. Answers (1)
- Evaluate:(Solved)
Evaluate: 
Date posted: September 23, 2019. Answers (1)
- A tailor makes two types of garments A and B. Garment A requires 3m of material while B
requires 2 ½ m of material. The tailor...(Solved)
A tailor makes two types of garments A and B. Garment A requires 3m of material while B
requires 2 ½ m of material. The tailor uses not more than 600m of material daily in making both garments. The tailor must make not more than 100 garments of type A and not less than 80 of type B each day.
(a) Write down four inequalities from this information.
b) Draw a graph for the inequalities shading the unwanted regions.
c)If the tailor makes a profit of sh.80 on garment A and a profit of sh. 60 on garment B, how many garments must she make in order to maximize her total profit if all the garments are sold at once.
Date posted: September 23, 2019. Answers (1)
- In a triangle ABC, AB=a ,AC=b, BN= 1/3BC . M is the midpoint of AC. AN and BM intersect at P.
Express in terms...(Solved)
In a triangle ABC, AB=a ,AC=b, BN= 1/3BC . M is the midpoint of AC. AN and BM intersect at P.
Express in terms of a and b only the vectors;
(i) BC
(ii) AN
(iii) BM
Date posted: September 23, 2019. Answers (1)
- (a)Complete the table below by filling in the blank spaces
(b)Draw the graph of y= x2 -2x + 1(Solved)
(a)Complete the table below by filling in the blank spaces
(b)Draw the graph of y= x2 -2x + 1
Date posted: September 23, 2019. Answers (1)
- Use the trapezium rule to establish the area under the curve y= x2 +x -6 over the interval 0= x =8 using 4 trapezia(Solved)
Use the trapezium rule to establish the area under the curve y= x2 +x -6 over the interval 0≤ x ≤8 using 4 trapezia
Date posted: September 23, 2019. Answers (1)
- A coffee trader buys two grades of coffee at Sh. 80 and Sh. 100 per packet. Find the ratio at which she should mix them...(Solved)
A coffee trader buys two grades of coffee at Sh. 80 and Sh. 100 per packet. Find the ratio at which she should mix them so that by selling a packet of the mixture at a Sh. 120 a profit of 25% is realized.
Date posted: September 23, 2019. Answers (1)