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A bag contains 5 blue marbles and 5 red marbles. If marbles are NOT replaced after being selected from the bag, what is the probability (in percentage) of picking 2 red marbles? Give your answer to one decimal place.

As there are a total of 10 marbles in the bag, then the probability of picking a red marble is 5/10. When the next marble is selected, there are only 9 marbles left in the bag since the red marble has not be...
PB
Answered by Peter B. • Maths tutor
10068 Views

Differentiate y=(x^2+1)(e^-x)

Here, we're using the product rule (and the chain rule for the e -x ): y=(x 2 +1)(e -x ) dy/dx=(2x)(e -x )+(x 2 +1)(-1)(e -x ) Then we simplify to get: dy/dx=(e -x )(2x-x 2 -1)
RD
Answered by Rishav D. • Maths tutor
7477 Views

Integrate the following function: f(x) = 8x^3 + 1/x + 5

We can see that the function is a sum of three terms so we can deal with each term separately and add them up. The term 8x 3 and 5 are relatively straightforward and follow the standard rules for integration...
EJ
Answered by Eleanor J. • Maths tutor
4148 Views

Using the substitution of u=6x+5 find the value of the area under the curve f(x)=(2x-3)(6x+%)^1/2 bounded between x=1 and x=1/2 to 4 decimal places.

dx=du/6 => (u-5)/6=x So the integral is now (2((u-5)/6)-3)(u^1/2) du/6 Which through simplifying becomes (1/36)(2u-28)(u^1/2)du = (1/36)(2u^3/2 -28u^1/2)du After integrating becomes (1/36)(4(u^5/2)/5 -56(...
JT
Answered by Joseph T. • Maths tutor
4521 Views

Solve the equation to find the value of t. (5t+3)/4=1

Step 1: (5t+3)/4 = 1 Step 2: (5t+3)= 1 x 4 Step 3: 5t + 3 = 4 Step 4: 5t = 4 - 3 Step 5: 5t = 1 Answer: t = 1/5
BM
Answered by Bhavya M. • Maths tutor
6412 Views