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What is the probability that you pick a blue ball from a bag of 3 blue balls, 4 red balls and 2 black balls

total number of balls = 3+4+2=9number of blue balls = 3probability of picking a blue ball = total number of blue balls/total number of ballstherefore = 3/9=1/3
OA
Answered by OLA A. • Maths tutor
5202 Views

Solve the simultaneous equations 5x + 2y = 4 and x - y - 5 =0

First label the equations. 1: 5x + 2y = 4 . 2: x - y - 5 = 0 . Rearrange equation 2 . 2: y = x - 5 Substitute equation 2 into equation 1 . 5x + 2( x - 5 ) = 4 . 7x = 14 . x = 2 . Substitute x = 2 into equati...
CS
Answered by Conor S. • Maths tutor
6249 Views

Integrate the function f(x)=3^x+2 with respect to x

First note that a=e ln(a) and ln(a b )=b ln(a)By substituting a=3 x we get a=3 x =e ln(3^x) =e x ln(3) , and hence f(x)=e x ln(3) +2∫ f(x)dx=∫ e x ln(3) +2 dx . First we can split this into the sum of two in...
CC
Answered by Christian C. • Maths tutor
3623 Views

Find the maximum value of 2sin(x)-1.5cos(x)

Put the equation in the form Rsin(x-a) (=Rsin(x)cos(a)-Rcos(x)sin(a)). Looking at the original equation Rcos(a) = 2 and Rsin(a) = 1.5. Tan(a)=1.5/2 and R^2= 2^2 +1.5^2. Therefore R = 2.5 and a = 0.6435.The m...
TA
Answered by Tom A. • Maths tutor
9045 Views

What is the impact of new and emerging technology on production?

New and emerging technology can have many positive impacts on production. The improvement in technology can be brought into businesses and manufacturers to improve quality, accuracy, production rate and spee...
NS
3248 Views