2x = 56 what is x

The first 5 students to arrive in a class on a morning where 3 girls and 2 boys. Of these, two were chosen at random for a task. Find the probability that the two were of different sexes

The probabilities that three girls pass an examination are 2/3, 5/8 and ¾ respectively. Find the probability that only two of the girls pass

It takes 8 students two-thirds of an hour to fill 12 thanks with water. How many tanks of water will 4 students fill in one-third of an hour at the same rate?

In a bag of oranges, the ratio of the good ones to the bad ones is 5: 4. If the number of bad oranges in the bag is 36, how many oranges are there altogether?

The houses on one side of a particular street are assigned odd numbers starting from 11. If the sum of the numbers is 551, how many houses are there?

 Find the nth term of the sequence 5, 10, 20, 40, 80 ...

 Out of the 400 students in the final year in a certain school, 300 are offering Biology, and 190 are offering chemistry. How many students are offering both Biology and Chemistry, if only 70 students are offering neither Biology nor Chemistry?

simplify  $(\frac{3}{4} \div \frac{1}{3}) \times 4\frac{1}{3} \div 3\frac{1}{4}$

simplify $\frac {\frac{1}{x} + \frac{1}{y}} {x + y}$

Calculate the surface area of a hollow cylinder which is closed at one end. If the base radius is 3.5 cm and the height 8 cm ($\pi$ $= 22/7$ )

Which of the following is not a measure of dispersion?

Find the coordinates of the two points on the curve

at $2^x - 3x - 3y + y^2 = 6$ which the gradient is -1

Find the determinant of the matrix

$\begin{pmatrix} 2 & 1 & -1 \\ 0 & 1 & 3 \\ 2 & -1 & 1 \end{pmatrix}$

Simplify $\frac { 2 tan 60° + cos 30°}{sin 60°}$

If $cos (x + 25)° = sin 45°$ , find the value of $x$

Find the value of a if $9^{2a+1} = \frac {81^{a-2}}{3^a}$

The product of a matrix and its inverse is a/an - matrix

What is the area of the curve y = 4x - 22 + 10 between $x = 0$ and $x = 5$ on the horizontal axis ?

integrate $\frac {3x - 2x^2 - x^3} {x(x + 3)}$

What is the volume of a sphere in $m^3$ with radius 22.2$cm$ ? (Take $\pi = 22/7$ ).

The total surface area of a sphere is 36m. If its radius is changed so that the area increases by 58%, what is the new radius of the sphere ($\pi$ $= 3.142$ ).

How many complete spheres of volume $4.2cm^3$ can fill a sphere of radius $4cm$ ? ($\pi = 3.142$ ).

A man standing on top of a 15m high cliff looks at a worker some distance from the bottom of the cliff. If the distance between the man and the worker is 35m, what is the distance between the worker and the foot of the building?

The gradient of a straight line graph is 7. Find the angle the line makes with the y-axis.

What is the equation of the line parallel to $y = \frac {3}{2}x + 8$ and passes through $(-2, 7)$

If $2^{n + m} = 16 and 4^{n - m} = \frac {1}{32} ,$find the values of n and m respectively.

solve the inequality:

$\frac{2}{5}(y-2)- \frac {1}{6}(y+5) ≤ 0$

Given: A = {2,4,6,8}, B = {2,3,7,9}, C = {x:3 <x<9} are subsets of the universal set U = {2,3,4,5,6,7,8,9}, find An(B'nC')

Find the number of ways in which the letters of the word UNILAG can be arranged

The present ages of a father and his daughter are in the ratio 10:3. If the daughter is 15 years old now, in how many years will the ratio of their ages be $2:1$ ?

18. What is the square root of 0.0081?

All natural numbers and 0 are called ___________

A bag contains 10 black and 5 white balls. Two balls are drawn from the bag one after the other without replacement. What is the probability that both balls are black?

If 8% of x = 4% of y, then 20% of x is

A box has 100 blue balls, 50 red balls, 50 black balls, 25% of blue balls and 50% of red balls are taken away.The percentage of black balls at present is

In the given AP series, the term at position 11 would be? 5,8,11,14,17,20...50

If the first term and common difference of an arithmetic sequence are respectively 30 and - 1.5, then the 25u terse will be

Find the sum of the terms of the infinite geometric progression: $\frac {1}{3}, \frac {1}{9}, \frac {1}{27}$

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bad, if at least one black ball is to be included in the draw?

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

What is the standard deviation of the given set of values: 3,5,1,8,18?

Convert 109 from decimal number system to binary number system

The decimal number $(127.25)_{10}$ , when converted to Binary number, takes the form

If x is the addition of prime numbers between 1 and 6,and y the H.C.F of 6, 9, 15. Find the product of x and y.

A 5.0g of salt was weighed by Tunde as 5.1g. What is the percentage error

Simplify $\frac{1^\frac {1}{2}} {2 ÷ \frac {1}{4} of 32}$

Find correct to one decimal place, 0.24633 ± 0.0306.

Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later, Kehinde sells $\frac{2}{3}$ of her share to Taiwo for ₦720.00, find the value of the store.

A basket contains green, black and blue balls in the ratio 5:2:1. If there are 10 blue balls, find the corresponding new ratio when 10 green and 10 black balls are removed from the basket.

A taxpayer is allowed $\frac{1}{8}$​th of his income tax-free and pays 20% on the remainder. If he pays ₦490.00 tax, what is his income?

If $\log_{10}2 = 0.3010$ and $\log_{10}3 = 0.4771$ , evaluate without using logarithm tables, $\log_{10}4.5$

The thickness of an 800 page book is 18 metres. Calculate the thickness of one leaf of the book given your answers in metres and in surd form.

Simplify$\frac{x+2}{x+1}-\frac{x-2}{x+2}$

if $\frac{1}{p}$ = $\frac{a^2+2ab+b^2}{a-b}$ and $\frac{1}{p}$ =$\frac{a+b}{a^2-2ab+b^2}$.Find $\frac{p}{q}$

If $1P122_3 = 98_{10}$ , where P is a digit, find the value of P

Convert $10110_{two}$ to a number in base ten

Express 462.3067 correct to 3 decimal places

If $x = ₦45,000$ , what is the sum of $x$ and $q$ 3% of $x$ ?

How many ways can the office of the vice chancellor be occupied by 5 candidates

In a toss of 2 dice, what is the probability of obtaining a total of 7 or 8

Dayo was 3 years older than Mary. 5 years ago, Dayo was twice as old as Mary respectively?

If $log⁡ x+2 = 1 + log⁡ y$ , express $y$ in terms of $x$

Find the value of $a$ if $23a+101a=130a$

The 4th term of an Ap is 13, the 10th term is 31. Find the 21st term.

If the mean of number 0, X+2, 3x + 6, 4x +8 is 4, find their mean deviation.

What is the variances of the scores 1,2,3,4,5

Given the curve y=(3-X)(1-X), obtain the gradient of the curve at the point of intersection with the X and y axis.

How many 3 digits number formed from 32564 without repeating any digit.

Find the value of P if the line joining (P,4) (6,-2) is perpendicular to the line joining (2,P) and (-1,-3) 

If x varies inversely as the cube root of y and x=1, when y=8, find y when x= 3

If a=-3, b=2, c=4, evaluate$\frac{a^3-b^3-c^\frac{1}{2}}{b-a-c}$

If g(y)=$\frac{y-3}{11}$ +$\frac{11}{y^2-9}$ what is g(y+3)?

Factorize completely $(x^2+x)^2 - (2x+2)^2$

Simplify$\frac{x-y} {x^ \frac{1}{3}-y^ \frac{1}{3}}$

Solve the following equation for $x^2$ $+$ $\frac {2}{r^2}x$ $+ \frac {1}{r^4} = 0$

Given that 3x-5y-3=0, 2y-6x+5=0, the value of (x,y) is

Simplify $\frac{4a^2-49b^2}{2a^2+5ab-7b^2}$

Simplify $\frac{1}{x^2+5x+6}$ +$\frac{1}{x^2+3x+2}$ 

Find the derivative of $\frac{5}{√x}$

Find the derivative of $x^2-2x$

Simplify $2^4$ x$\frac{1}{3√2}$ x 2-$\frac{1}{2}$

45 is 18% of what number?

$(y-2x)^2- (2y-x)^2$ simplifies to?

What is the remainder when the polynomial f(y)= $y^3$ +$3y^2$ -13y-10 is divided by y-3

Evaluate 20+4+0.8+...,

Find the value of $\frac{9!}{5!}$

Which of the following set has only one subset

If $\log10^x$ + 1=0, then the value of x will be

Find the mean deviation of these numbers; 10,12,14,15,17,19

Given the sets A={2,4,6,8} and B={2,3,5,9}. If a number is picked at random from each of the two sets, what is the probability that their difference is 6 or 7

Given that A and B are two events such that P(A)=$\frac{1}{3}$ , P(A U B)=$\frac{3}{5}$ and P(B) =P, Find P if A and B are mutually exclusive.

If $a = log_3^5$ and $b = log_{27}^{25}$  then

When the present age of the mother is added to the present age of the daughter, the sum is 40 years what will be their total age after 5 years

The average age of a brother and sister was 35 years at 5 years ago. What will be their average age at present.

Ram’s present age is one sixth of his father’s present age, if the difference between their percentage age is 35. What is the father’s present age

Find the compound interest on 6250 at 16% per annum for 2 years, compounded annually

The product of 9375 and the quotient when the larger one is divided by the smaller one is 15, the sum of the number is?

If the side of a square is increased by 25% then it’s area is increased by

What is the loss percent if a man loses N10 on selling an article for N100

If 10 men working 6 hours a day, can complete a work in 18 days. How many hours a day must  fifteen men work to complete it in 12days

If the cost price of 12 pens is equal to the selling price of 8 pens, then the gain percent is 

On selling 17 balls at N720, there is a loss equal to the cost price of 5 balls. The cost price of the ball is 

The 3rd term of an A.P is $4x-2Y$ and the 9th term is $10x-8y$, find the common difference

A binary operation is defined by a*b = $a^b$ if a*2 = 2*2 find the possible values of a

On a pie chart, there are four sections of which three angles are 45° 90° and 135°, if the smallest section represent N28 how much is the largest section

if an item bought for ₦180.00 was sold for ₦225.00, calculate the percentage profit

simplify $\frac{8\frac{1}{2} + 3\frac{1}{2} + 7 }{1\frac{3}{4} + 1\frac{1}{2}}$

find the value of $3\sqrt\frac{n^9}{27}$ if $n$ $= 3$

express the number 0.002513 in standard form

in a class of 40 students, 55% passed Mathematics , 25% passed physics and 20% passed both mathematics and physics.How many passed both mathematics nor physics?

if $s = \frac{1}{2}$ (u + v)t , make v the subject of the formula

if (y + 2 ) varies inversely as $x$ and $y = 3$ when $x = 2$ . Find $y$ when $x = 5$

if the $4^{th}$ term of an A.P. is the 15, find the $3^{rd}$ term of the series 3 + r + s + .....

if $\begin{bmatrix} 7 & 3 \\ x & x \end{bmatrix}$ $= 24$ , find $x$

The sum of the interior angles of a regular polygon is 1080, find one exterior angle of the polygon

If a right circular cylinder of base radius 5 cm has a height of 7 cm, find the quantity of water the cylinder can contain ($\pi$ $= 22/7$ )

find the maximum value of the function $f(x) = x^3 - 12x + 5$

1.3logx+logy =3. Then, y is

The gradient of a curve is 2x + 7 and the curve passes through point (2, 0). find the equation of the curve.

A girl walks 30m from a point P on a bearing of 040 to a point Q. she then walks 30m on a bearing of 140 to a point R. the bearing of R from P is

In a class, 37 students take a least one of chemistry, Economics and Government, 8 students take Chemistry, 19 take Economics and 25 take Government, 12 students take Economics and Government but nobody takes Chemistry and Economics. How many students take both chemistry and Government?

If the locus of the points which are equidistant from points P and Q meets line PQ at point N, then PN equals

A cyclist rode for 30minutes at xhkm/hr. if the total distance covered is less than 60km, what is the range of values for x?

Evaluate ∫_-4 ⁰(1-2x)dx

Find the value of k if the expression kx3 + x2 - 5x - 2 leaves a remainder 2 when it is divided by 2x + 1

A final examination requires that a student answer any 4 out of 6 questions. In how many ways can this be done?

Simolify (7/9-2/3)/(1/3+(2/5)/(4/5))

Differentiate (cos θ - sin θ)²

If tan θ = 5/4 find sin² - cos²θ

A binary operation θ defined on the set of real number is such that xθy = xy/6 for all x, y ∈ R. Find the inverse of 20 under this operation when the identity element is 6

If dy/dx = x + cos x, find y

If (K2) ₆ * 3₆ = 3₅(K4)₅, what is the value of k?

The solution set of the shaded area above is

Solve the inequalities for which (x + 4)/(3) - (x -3)/(2) < 4

In how many different ways can the letters of the word GEOLOGY be arranged in order?

Factorize 16(3x+2y)2-25 (a+2b)2

The pie chart above shows the expenditure of a family whose income is N30,000. If the expenditure on food is twice that on housing and that on school fees is twice that on transport, how much does the family spend on food?

In the diagram above, QR is in the diameter of the semicircle QR. Find the areas of the figure to the nearest whole number.

If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?

Evaluate 2/(6-5√3)

Expand the expression (x2-2x-3)(x2+x+1).

If m:n = 13:111, find m² - n² : (m + n)²

How many different three digit numbers can be formed using the integers 1 to 6 if no integer 1 to 6 if no integer occurs twice in a number?

The sum of the first n positive integers is

In the diagram above, find the value of x

In triangle XYZ, ∠XYZ = 15o, ∠XZY = 45o and lXYl = 7 cm. Find lYZl.

A regular polygon has each of it angles at 160. What is the number of sides of the polygon?

The table above shows the scores of a group of students in a physics test. If the mode is m and the number of students who scored 4 or more is n, what is (n, m)?

If the mean of five consecutive integers is 30, find the largest of the numbers

Z is partly constant and partly varies inversely as the square of d. when d = 1, z = 11 and when d = 2, z = 5. Find the value of z when d = 4.

A bag contains 10 balls of which 3 are red and 7 are white. Two balls are drawn at random. Find the probability of none of the balls is red, if the draw is with replacement:

Simplify (25)^-1/2 x (27)^1/3+ (121)^-1/2 x (625)^-1/4

If y = x2 - x - 12, find the range of values of x for which y ≥ 0

The table above shows the distribution of recharge cards of four major GSM operators. What is the probability that a recharge card selected at random will be GTN or Qtel?

Differentiate (x² - 1/x)² with respect to x

How many terms of the series 3, -6, +12, - 24, + ..... are needed to make a total of 1-2⁸?

The volume of a hemispherical bowl is 718(2/3) . Find its radius .

Find the value of (tan60°-tan30°)/(tan60°+tan 30° )

If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is

The nth term of the sequence 3/2, 3, 7, 16, 35, 74 ..... Is

How long will take a sum of money invested at 8% simple interest to double the original sum?

Find y, if √12-√147+y√3=0

If X = {all the perfect squares less than 40} Y = {all the odd numbers fro, 1 to 15}. Find X ∩ Y.

In a basket, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random. What is the probability that the fruit is either a grape or a banana

Find the value of x for which 2(3^2x-1) = 162

Evaluate ((05652)² - (04375)²)/0.04 correct to three significant figures

The table above gives the frequency distribution of marks obtained by a group of students in a test. If the total mark scored is 200, calculate the value of y

A particle P moves between points S and T such that angles SPT is always constant of ST constant. Find the locus off P

Find the size of each exterior angle of a regular octagon

The average age of the three children in a family is 9 years. If the average age of their parent is 39 years, the average age of the whole family is:

If x= 0.0012 + 0.00074 + 0.003174, what is the difference between x to 2 decimal places and x to 1 significant figure?

Simplify 3/5÷(2/7×4/3÷4/9)

A senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered?

If y = (1 + x)², find dy/dx

Calculate the length of an arc of a circle diameter 14 cm, which substends an angle of 90o at the center of the circle

What is the value of k if the mid-point of the line joining (1 - k, - 4) and (2, k + 1) is (-k , k)?

A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30°. Determine the height of the tower.

The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?

The sum of the ages of Musa and Lawal is 28 years. After sharing a certain sum of money in the ratio of their ages, Musa gets N600 and Lawal N800. How old is Lawal?

If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively. Find the product of the modal and the median number

In how many ways can 6 subjects be selected from 10 subjects for an examination

Integrate (x²-√x)/x with respect to x

Make L the subjects of the formula if d=√(42w/5l)

Determine the value of ∫0^(π/2)(-2cosx)dx

In the parallelogram PQRS above, find angle SQR

The interior angles of a pentagon are: 180o, 118o, 78o, 84o and x. The value of x is:

Find the locus of point equidistant from two straight lines y - 5 = 0 and y - 3 = 0

Find the value of x for which the function f(x) = 2x³ - x² - 4x + 4 has a maximum value

Calculate the length of an arc of a circle diameter 14 cm, which subtends an angle of 90° at the center of the circle

The histogram above represents the weights of students who travelled out to their school for an examination. How many people made the trip?

A square tile measures 20cm by 20cm. How many of such tiles will cover a floor measuring 5m by 4m?

Given P = {1, 3, 5, 7, 9, 11} and Q = {2, 4, 6, 8, 10, 12}. Determine the relationship between P and Q

In a survey of 100 students in an institution, 80 students speak Yoruba, 22 speak Igbo, while 6 speak neither Igbo nor Yoruba. How many students speak Yoruba and Igbo?

When the price of egg was raised by N2 an egg, the number of eggs which can be bought for N 120 is reduced by 5. The present price of an egg is

The journey from Lagos to Ibadan usually takes a motorist 1 hour 30 minutes. By increasing his average speed by 20km/hr, the motorist saves 15 minutes. His usual speed, in Km/hr is

The pie chart above illustrate the amount of private time a student spends in a week studying various subjects. Find the value of k

Find the angle subtended at the center of a circle by a chord which is equal in length to the radius of the circle.

Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters [π = 22/7]

A binary operation on the real set of numbers excluding -1 is such that for all m, n ∈ R, mΔn = m+n+mn. Find the identity element of the operation.

The fifth term of an A.P is 24 and the eleventh term is 96. Find the first term.

The locus of a point equidistant from two points p(6,2) and R(4,2) is a perpendicular bisector of PR passing through?

Factorize 16(3x +2y)2 -25(a+2b)2

The probability of picking a letter T from the word OBSTRUCTION is?

Find the exterior angle of a 12 sided regular polygon

One angle of an octagon is 1000 while the other sides are equal. Find each of these exterior angles.

If 2x² - kx - 12 is divisible by x-4, Find the value of k

Dividing 2x3 – x2 – 5x + 1 by x + 3 gives the remainder

Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0

Solve the quadratic inequalities x² - 5x + 6 ≥ 0

Express 123456 to 3 significant figures

calculate the simple interest on N7,500 for 8 years at 5% per annum.

〖log〗_(x^1/2)⁶⁴ = 3, find the value of x

All the 120 pupils in a school learn Yoruba or Igbo or both. Given that 75 learn Yoruba and 60 learn Igbo. 13. How many learn both languages?

In the diagram above, PQ//RS. The size of the angle marked x is?

Find the number of ways of selecting 6 out of 10 subjects for an examination

Find the minimum value of the function y = x(1+x)

Make Q the subject of formula when L = 4/3 M√PQ

A trader bought goats for ₦4,000 each. He sold them for ₦18,000 at a loss of . How many goats did he buy?

Find the median of 4, 1, 4, 1, 0, 4, 4, 2 and 0

The average age of x pupils in a class is 14 years 2 months. A pupils of 15years 2 months joins the class and the average age is increased by one month. Find x.

The expression ax2 + bx takes the value 6 when x = 1 and 10 when x = 2. Find its value when x = 5

Find the values of x and y respectively if

The cost of kerosene per liter increased from N60 to N85. What is the percentage rate of increase?

A. cylinder has height 4cm and base radius 5cm.its volume to 3 significant figure is

( −2 2 1 3 ) ( p r q s ) = ( 1 0 0 1 ) . What is the value of r?

A student sitting on a tower 68 metres high observes his principal's car at the angle of depression of 20°. How far is the car from the bottom of the tower to the nearest metre?

If (1+√2)/(1-√2) is expressed in the form of x+y√2 find the values of x and y

The trigonometric expression cos2A + sin 2A can be written as:

SOLUTION: <math xmlns="http://www.w3.org/1998/Math/MathML"> <msup> <mn>16</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mn>2</mn> </mfrac> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mn>2</mn> </mfrac> </mrow> </msup> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>27</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </msup> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <msup> <mn>16</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msup> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msup> </mfrac> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>27</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </msup> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <msqrt> <mn>16</mn> </msqrt> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <msqrt> <mn>4</mn> </msqrt> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mi>s</mi> <mi>q</mi> <mi>r</mi> <mi>t</mi> <mo stretchy="false">[</mo> <mn>3</mn> <mo stretchy="false">]</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>27</mn> </mrow> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&#x00D7;<!-- × --></mo> <mfrac> <mn>3</mn> <mn>1</mn> </mfrac> <mspace linebreak="newline" /> <mo>=</mo> <mfrac> <mn>3</mn> <mn>8</mn> </mfrac> </math>

simplify 〖16〗^((-1)/2) × 4^((-1)/2)×〖27〗^(1/3)

The bar chart above shows the number of times the word a, and , in, it, the , to appear in a paragraph in a book. What is the ratio of the least frequent word?

Find the mean deviation of 2, 4, 5, and 9

The result of rolling a fair die 150 times is as summarized in the table above. What is the probability of obtaining a 5

A book seller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books. How many customers has he altogether?

<math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mn>1</mn> <mn>2</mn> </msubsup> <mo stretchy="false">(</mo> <mn>6</mn> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mi>x</mi> <mo stretchy="false">)</mo> <mi>d</mi> <mi>x</mi> </math>

Evaluate ∫₁ ²〖(6x²-2x)dx〗〗

The difference of two numbers is 10, while their product is 39. Find these numbers

Differentiate sin x - x cos x

If P varies inversely as V and V varies directly as R2, find the relationship between P and R given that R = 7 when P = 2

A regular polygon has 150º as the size of each interior angle. How many sides does it have?

<math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <mn>81.81</mn> <mo>+</mo> <mn>99.44</mn> </mrow> <mrow> <mn>20.09</mn> <mo>+</mo> <mn>36.16</mn> </mrow> </mfrac> </math>

Evaluate (81.81+99.44)/(20.09+36.16) correct to 3 siginficant figures

Find the value of sin 45° - cos 30°

5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively and have a mean of 5.7. Find the value of k?

Find the acute angle between the straight lines y = x and y = √3x

What value of x will make the function x(4 - x) a maximum?

If Q is, [] then |Q| is?