Answer:
1/2 of 6/7 is greater than 2/3 of 3/7
Step-by-step explanation:
6/7 x 1/2 = 6/14 = 3/7
3/7 x 2/3 = 6/21 = 2/7
2/7 < 3/7
1/2 of 6/7 is greater than 2/3 of 3/7
Part A:
The amount of substance left of a radioactive substance with a half life

and amount of initial substance

is given by

Given that th<span>e
isotope samarium-151 has a half-life of
around 96.6 years and the rock contains 5 grams of samarium-151 when it
reaches its closure temperature, and it contains 0.625 grams when it is
discovered.
</span><span>The time since the rock reached its closure temperature is obtained as follows:

Therefore, </span>t<span>he time since the rock reached its closure temperature is 289.8 years.
Part B:
Given that the </span><span>rock
contains 5 grams of samarium-151 when it reaches its closure
temperature, and it contains 0.625 grams when it is discovered. The number of grams of europium-151 when the rock was discovered is 5 - 0.625 = 4.375</span>
By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.
The Central Limit Theorem established that, for a normally distributed random variable X, with mean and standard deviation, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation ;
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The sample of 112 residents has a mean GPA of 1.7.
By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.
Learn more about Mean:
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Hi!
If she worked 18 hours last week and 20 hours this week, then she worked 38 hours in total, because 18 + 20 = 38.
If she earns $6 per hour, and she worked for 38 hours, then she got 38 sets of 6, which you can find the answer to by multiplying 38 and 6.
This is essentially 6 + 6 + 6 +...
38 * 6 = $228
So she earned $228 these two weeks.
Hope this helped!