## Answers by Peter I.

The first thing you do is to rearrange the numbers. Then, multiply the 1st column by the 2nd column to get the 3rd column Next, you add up the 3rd column to get the mean. X              P(X = x)        ...

A good way to approach the problem is to develop a 'mini equation' for each of the participants. From the question, we know Chiara has 3 balls more than Francesco If Francesco = x, then, Chiara = 3+ x Marco has 7 balls more than Chiara = 7 + (3+x). Total number of...

Amount purchased = 5/6 kg or 0.8333kg Fraction of the total amount (0.8333kg) roasted = 3/10 or 0.3 kg Therefore, amount roasted = 0.8333 * 0.3                                         =...

-v/7 + 8 = 19 (answer)

-v/7 + 8 = 19 You can approach the above problem by multiplying the equation by 7 (the denominator, 7, is applicable to all elements of the equation) (-v/7)*7 + 8*7 = 19*7 -v + 56 = 133 -v = 133 - 56 -v = 77 Therefore, v = -77

8x + 6 = 4x + 26 Remember that you are solving for x Therefore, place all the figures with x on one side and those without x on the other side. During the reshuffling, the signs are bound to change. For instance, bringing 4x to the place of 8x changes the sign to -4x...

There are two parts to the question. Only two possible scenarios: a) success or b) failure Applying the binomial concept: P(satisfaction) = 80% or 0.8; P(dissatisfaction) = 20% or 0.2 Therefore, P(9 or more satisfied persons) = P(9) + P(10) + P(11) + P(12) 1st part =...

2) Perimeter of a lawn is the sum of all the sides = 28m Let x represent the width The length = 2x - 1 Therefore, perimeter or 28m =  2(length + width)                                   ...

Made \$360 in one day or 24 hours. 1st step: find the amount to be made in 1 hour In 1 hour, you make \$360/24 = \$15. 2nd step: find the amount to be made in 1/18 of a day 1/18 of a day = I/18 * 24hours = 1.3333 hours 3rd step: multiply hourly amount by the number of hours Therefore,...

30-5x=35-8x? (answer)

Given the equation: 30 - 5x = 35 - 8x Solve for x by placing the numbers without x on one side of the equation and those with x on the other side. In doing so, remember to change the signs. For instance, moving 35 to the side of 30 gives (30 - 35) Likewise, transferring -5x to...

There are many approaches to the problem. However, the following procedure is applicable irrespective of the scenario. Profit or Loss percentage = (Selling Price - Cost Price)/Cost Price * 100 From the question, we know that a loss was incurred in the transaction In this case, Selling...