Lan wants to run less than 7/12 miles. It says to find out a fraction with a denominator of 4 and which is less than 7/12.
Let's assume the required fraction to be x/4 such that x/4 is less than 7/12.
So we must have multiples of 3's that should be less than 7, we have only two choices 3 < 7 or 6 < 7.
It means x = 1 or x = 2, and the required fraction would be 1/4 or 2/4.
2/4 is simplified to 1/2 and the question says to have denominator 4.
Hence, final answer is 1/4
Answer: -54
Step-by-step explanation:
The question is the first term of a geometric sequence is −2 and the common ratio is 3. The formula for finding the nth term of a geometric sequence is: ar^n-1
where,
a = first term = -2
r = common ratio = 3
n = number of terms = 4
The solution has been attached. The answer is -54
The system of inequalities is:
v + h ≤ 8
v < 2
h ≥ 1.5
<h3>
Which system of equations represents this situation?</h3>
Let's define the variables:
- v = number of hours playing video games.
- h = number of hours spent on homework.
The maximum time that you can spend on both activities is 8 hours, then:
v + h ≤ 8
You want to spend less than 2 hours on video games, so:
v < 2
You want to spend at least, 1.5 hours on homework, so:
h ≥ 1.5
Then the system of inequalities is:
v + h ≤ 8
v < 2
h ≥ 1.5
If you want to learn more about inequalities:
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The hypothesis illustrates that the males in the group don't follow a same distribution as all the males that are in the United States.
<h3>How to illustrate the information?</h3>
Based on the information given, it should be noted that the degree of freedom given in this case will be:
= 4 - 1
= 3
By using the Excel function, the p-value is given as 0.0002. In this case, we've to reject the null hypothesis if the p value is less than 0.1.
Therefore, we will reject the null hypothesis in this case. In inferential statistics, the null hypothesis is that two possibilities are the same. It is observed difference is due to chance alone. Using statistical tests, it is possible to calculate the likelihood that the null hypothesis is true
Therefore, the hypothesis illustrates that the males in the group don't follow the same distribution as all the males that are in the United States.
Learn more about hypothesis on:
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Answer:
<h3>m = - 4</h3>
<h2>Solved in the attachment!! </h2>
Step-by-step explanation:
<h2>HOPE IT HELPS YOU!!</h2>
