The first answer is going to be 15.42 (so b) and the second is going to be 10.67 (so a)
Here, we are required to determine after how many minutes will the two substances be at the same temperature.
The equation of when the two substances will be at the same temperature and the solution are as follows;
(a) The equation is 96.2 + 1.5(x) = 98.5 + 0.8(x).
(b) The solution is, x = 3.285minutes.
For substance A which is currently at 96.2° and rising at 1.5° each minute; It's temperature after x minutes is given as;
For substance B which is currently at 98.5° and rising at 0.8° each minute; It's temperature after x minutes is given as;
(a) For the two substances to be at the same temperature; T(a) must be equal to T(b).
The equation is therefore;.
96.2 + 1.5(x) = 98.5 + 0.8(x)
(b) To determine the solution;
1.5x - 0.8x = 98.5 - 96.2
0.7x = 2.3
x = 2.3/0.7
x = 3.285minutes.
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Answer:
<u></u>
- <u>1. As a fraction: 9/50</u>
- <u>2. As a proportion: x/1 = 9/50</u>
- <u>3. As a percentage: 18%</u>
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Explanation:
<u>1. As a fraction:</u>
Depart from the definition of probability: probability is the number of favoragle outcomes divided by the total number of possible outcomes:
- Probability = number of movie-goers who say they watched a movie on Netflix this week / number of movie-goers that saw a movie this week
<u>2. As a proportion:</u>
A proportion is the equality of two ratios. In this case you must set the ratio of people who say they watched it on Netflx, x, per every people who saw a movie this week, 1, equal to the ration 9 /50.
Hence, the proportion that shows the probability is:
Where x is the probability.
<u>3. As a percentage</u>
You just have to multiply the probability by 100:
1/2* N= 1/3
⇒ N= (1/3)/ (1/2)
⇒ N= (1/3)* (2/1)
⇒ N= 2/3
The final answer is N= 2/3~
