<span>2/15 if drawn without replacement.
1/9 if drawn with replacement.
Assuming that the chips are drawn without replacement, there are 6 * 5 different possibilities. And that's a low enough number to exhaustively enumerate them. So they are:
1,2 : 1,3 : 1,4 : 1,5 : 1,6
2,1 : 2,3 : 2,4 : 2,5 : 2,6
3,1 : 3,2 : 3.4 : 3,5 : 3,6
4,1 : 4,2 : 4.3 : 4,5 : 4,6
5,1 : 5,2 : 5.3 : 5,4 : 5,6
6,1 : 6,2 : 6.3 : 6,4 : 6,5
Of the above 30 possible draws, there are 4 that add up to 5. So the probability is 4/30 = 2/15
If the draw is done with replacement, then there are 36 possible draws. Once again, small enough to exhaustively list, they are:
1,1 : 1,2 : 1,3 : 1,4 : 1,5 : 1,6
2,1 : 2,2 : 2,3 : 2,4 : 2,5 : 2,6
3,1 : 3,2 : 3,3 : 3.4 : 3,5 : 3,6
4,1 : 4,2 : 4.3 : 4,4 : 4,5 : 4,6
5,1 : 5,2 : 5.3 : 5,4 : 5,5 : 5,6
6,1 : 6,2 : 6.3 : 6,4 : 6,5 : 6,6
And of the above 36 possibilities, exactly 4 add up to 5. So you have 4/36 = 1/9</span>
Answer: Jane needs to reduce the price by 20%
Step-by-step explanation: The first thing to note is the original price of the cereal and that is given as £3 for every 160 grams.
The change proposed by Tim is as follows;
Put 25% more cereal in the box (and do not change the price). That means 160 g plus 25%. Mathematically, this can be expressed as;
New weight = 160 + (160 * 25%)
New weight = 160 + (160 * 0.25)
New weight = 160 + 40
New weight = 200
Hence, Tim's idea would result in a cereal box with 200 grams that still cost £3. At this rate, each gram would cost
1 gram = Price / Total grams
1 gram = 3/200
1 gram = 0.015
However, Jane has proposed that the amount of cereal in the box should not be changed, which means the box of cereals should remain 160 grams. The price should be reduced to give the same value as Tim's idea. This means 160 g of cereals should now sell for £0.015 per gram. That would bring the price of 160 g to,
1 gram = 0.015
160 grams = 0.015 * 160
160 grams = 2.4
With Jane's proposal, a 160 g box of cereal should now be sold at £2.4 each. That is a reduction of £0.6
Therefore, the percentage reduction can be calculated as follows;
% decrease = (0.6/3) * 100
% decrease = (1/5) * 100
% decrease = 20
From the results above, Jane should reduce the price (£3 per 160 g) by 20%.
Answer:
x
Step-by-step explanation:
Given
- 2x²(x - 5) + x(2x² - 10x) + x ← distribute both parenthesis
= - 2x³ + 10x² + 2x³ - 10x² + x ← collect like terms
= x
Answer:
99m
Step-by-step explanation:
multiply the two numbers
Answer:
Step-by-step explanation:
Set this up as ratio of vinegar to oil in fraction form:
That's what we're given. If we are looking to find how much oil he needs if he's using 9 ounces of vinegar, then 9 goes on top with the vinegar stuff and x goes on bottom as the unknown amount of oil:
Cross multiply to get
5x = 90 and
x = 18
Which you probably could do without the proportions. If he is using 5 ounces of vinegar and double that amount of oil, then it just makes sense that if he uses 9 ounces of vinegar he will double that amount in oil to use 18 ounces.
