Sam is proving the product property of logarithms. Step justification mc030-1. Jpg given mc030-2. Jpg substitution which express
2 answers:
The justification of the third step in her proof of the property of logarithms is; ; Power rule of exponents
<h3>What are properties of Logarithms?</h3>
From the full question, the second step stopped at;
Now, according to Power Rule for Exponents we know that (a^m)ⁿ = a^(m*n). That means that to raise a number with an exponent to a power, we will multiply the exponent times the power.
Thus, will give us
using power rule of exponents
Read more about Properties of Logarithms at; brainly.com/question/14765705
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The statement that is most correct is (b) In Grade 8, 17% of students liked running.
<h3>How to interpret the two-way frequency table</h3><u>The students that like swimming</u>
From the table, we have the following highlights
- 24% students like swimming in grade 8
- 18% students like swimming in grade 9
<u>The students that like running</u>
From the table, we have the following highlights
- 17% students like running in grade 8
- 14% students like running in grade 9
<u>The students that like volleyball</u>
From the table, we have the following highlights
- 5% students like volleyball in grade 8
- 54% students like volleyball in grade 9
When the above highlights are compared to the given options, the correct statement is (b) In Grade 8, 17% of students liked running.
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Using the Central Limit Theorem, it is found that the valid conclusion is given as follows:
The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.
<h3>Central Limit Theorem</h3>The Central Limit Theorem establishes 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 sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, we have a skewed variable with a sample size less than 30, hence the Central Limit Theorem cannot be applied and the correct conclusion is:
The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.
To learn more about the Central Limit Theorem, you can check brainly.com/question/24663213