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Four coins are tossed.Let A be the random variable representing the number of heads the occur.Find the value of the random variable A
1.if f(x)=x^2-1/1+x^2,find f(-1),f(2),f(1/2),f(tan x).
2.graph the surface area of a cube as a function of the volume of a cube.
What is the probability that a market inspector will discover at least three violations of the public health code
The Coronavirus disease has led to many deaths globally. In Gauteng, the number of deaths per week increases by 9.2% every week. Suppose this trend does not change and 82 deaths have been recorded this week. Determine the number of deaths that: a) were recorded 4 weeks ago b) will be recorded in 3 weeks’ time c) will be recorded in 6 weeks’ time
Tshepo want to buy a big screen TV.She has five interests rates to choose from if she borrows the money from the bank.the cheapest option
*29%per year,compounded daily
*30%per year, compounded semi annually
*28.5%pet year, compounded weekly
*29.5%per year, compounded every 2 months.
On 29 March 202,Justin deposited 3500 into savings account.The simple interest rate agreed upon was7,5%per year.The accumulated amount in the savings account on 1 October 2022 is?
Determine the present value of loan if R12000 is due in 5 years,at a simple discount ra15% per annum
3a. Consider the line L that passes through the point P0(4, 2, -3) is parallel to the vector
⟶ [ 2
u = -1 <----Matrix
6]
Find a vector equation and the parametric equations of the line L.
b. Find the point of intersection of the line L with the xy-plane (z = 0).
2a. Solve the quadratic equation
3z2 + (a - i)z + 3i = 0.
b. Solve the following system of equations of complex numbers:
z + iw = 1 + 2i
z - w = 1 -2i
1a) Find the real numbers a and b such that
i5(3 - 2i)2 - (a - bi) = a - bi.
b. Let z1 = √3 + i and z2 = √3 - i. Show that
z161 + z261 = 261√3.
(Remember that: cos(- θ) = cos(θ), sin(θ) = -sin(θ) = -sin(θ), cos(2kπ + θ) = cos(θ) and sin(2kπ + θ) = sin(θ) )
