Algebra
simplify a/(b/(c/d))
ac/bd
Probability of rolling an even number on a 6 sided fair dice , three times in a row is?
1/8 , 0.125
Find the area under the curve the curve y=x^2 and the x-axis from limits x=1 to x=3
26/3
What does the trigonometric function "cot" stand for
Cotangent
solve the inequality |2x-1| >= |3-x|
x<=-2 x>=4/3
A fair six-sided die is thrown twice and the scores are noted. Event X is defined as ‘The total of the
two scores is 4’. Event Y is defined as ‘The first score is 2 or 5’. Are events X and Y independent?
Justify your answer.
Independent , P(A∩B)=P(A)P(B)
y=(e^2x)sin(x)
dy/dx =?
e^2x ( 2sinx +cosx)
In regular octagon ABCDEFGH , what is the measure of the angle ACH in degrees
22.5 degree
Find the solutions for x^3 – 6x^2 + 11x – 6 =0
DO NOT USE CALCULATOR FOR THIS QUESTION .ALL WORKING MUST BE SHOWN.
x=1,2,3
Jameel has 5 plums and 3 apricots in a box. Rosa has x plums and 6 apricots in a box. One fruit
is chosen at random from Jameel’s box and one fruit is chosen at random from Rosa’s box. The
probability that both fruits chosen are plums is 1/4.
Write down an equation in x and hence find x.
x=4
Water is being poured into an inverted conical vessel at the rate of 1.5 cubic meter per minute. Its depth is always equal to twice its radius. The level of the water is rising at the rate of 3/8π meter per minute when its depth is?
hint: V=1/3hπr²
h=4
How many polygons have interior angles of integral measure?
22 polygons
Express (8+2x-x^2)/(x-1)(x^2+2) in partial fractions.
3/(x-1) - (4x+2)/(x^2+2)
On each day that Tamar goes to work, he wears either a blue suit with probability 0.6 or a grey suit with probability 0.4. If he wears a blue suit then the probability that he wears red socks is 0.2. If he wears a grey suit then the probability that he wears red socks is 0.32.
Given that Tamar is not wearing red socks at work, find the probability that he is wearing a grey suit.
0.362
if y=x^x
dy/dx=?
x^x (ln(x)+1)
A wooden cube with 18cm edges has each of the eight corners sliced off so that the resulting faces are equilateral triangles whose edges are 6cm long. what volume has been removed from the cube? Express your answer in simplest radical form.
72 root 2 cm^3