The scientist that made a more concentrated salt solution is scientist A.
<h3>How to compute the value?</h3>
Since Scientist A dissolved 1.0 kilogram of salt in 3.0 liters of water. The concentration will be:
= 1/3 = 0.33
Scientist B dissolved 2.0 pounds of salt into 7.0 pints of water. The concentration will be:
= 2/7
= 0.285
Therefore, the scientist that made a more concentrated salt solution is scientist A.
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36....we need to break this down...12 * 3 = 36
12 * 3....we can break this down because 12 is not prime...4 * 3 = 12
4 * 3 * 3...we can break the 4 down because it is not prime
2 * 2 * 3 * 3 <==== prime factorization
<span>The ratio of boys to total children would be 4:6, which you could simplify since they are both divisible by 2, so you'd end up with 2:3. Of every 3 children, 2 are boys.</span>
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Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, hence:
At the alternative hypothesis, it is tested if they are different, hence:
<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
Hence, for the distribution of differences, they are given by:
- .
<h3>What is the test statistic?</h3>
The test statistic is given by:
In which is the value tested at the null hypothesis.
Hence:
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
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Answer:
1. 50%
2. 3%
3. 20%
4. 200%
Step-by-step explanation:
Here, we want to find the worth of each coin as a percentage of $1
We simply divide the worth by $1 and multiply by 100%
$1 is same as 100 cents
Thus;
1. 50 cent
= 50/100 * 100% = 50%
2. 3 cents
= 3/100 * 100% = 3%
3. 20 cents
= 20/100 * 100% = 20%
4. $2
= 2/1 * 100% = 200%