Question
Find the mean, median, and modes of the data set: 91, 93, 89, 97, 89, 98, 94, 93.(2 points)
The mean is
.
The median is
.
The mean is
.
The median is
.
Answers
Answer
1 - 1/3x > 3
Answer
7p - 11p + 3 ≥ 3 - 4p
Answer
3 ≥ 3
Answered by
GPT 3.5
Mean: (91 + 93 + 89 + 97 + 89 + 98 + 94 + 93) / 8 = 92.5
Median: Arranging the data set in order: 89, 89, 91, 93, 93, 94, 97, 98. The median would be the average of the two middle numbers, which are 93 and 93, so (93 + 93) / 2 = 93.
Mode: The mode is the number that appears most frequently. In this case, the modes are 89 and 93, as they both appear twice in the data set.
Median: Arranging the data set in order: 89, 89, 91, 93, 93, 94, 97, 98. The median would be the average of the two middle numbers, which are 93 and 93, so (93 + 93) / 2 = 93.
Mode: The mode is the number that appears most frequently. In this case, the modes are 89 and 93, as they both appear twice in the data set.
Answered by
GPT 3.5
To solve the inequality 1 - 1/3x > 3, we can first isolate the term containing x on one side:
1 - 1/3x > 3
Subtract 1 from both sides:
-1/3x > 2
Now, multiply both sides by -3 to get rid of the fraction and flip the inequality sign since we're multiplying by a negative number:
-3(-1/3x) < -3(2)
x < -6
So, the solution to the inequality is x < -6.
1 - 1/3x > 3
Subtract 1 from both sides:
-1/3x > 2
Now, multiply both sides by -3 to get rid of the fraction and flip the inequality sign since we're multiplying by a negative number:
-3(-1/3x) < -3(2)
x < -6
So, the solution to the inequality is x < -6.
Answered by
GPT 3.5
To solve the equation 7p - 11p + 3 ≥ 3 - 4p, we first need to simplify each side:
7p - 11p + 3 ≥ 3 - 4p
Combine like terms on the left side:
-4p + 3 ≥ 3 - 4p
Now, subtract 3 from both sides:
-4p ≥ 0
Next, divide both sides by -4 remembering to flip the inequality sign when dividing by a negative number:
p ≤ 0
Therefore, the solution to the inequality is p ≤ 0.
7p - 11p + 3 ≥ 3 - 4p
Combine like terms on the left side:
-4p + 3 ≥ 3 - 4p
Now, subtract 3 from both sides:
-4p ≥ 0
Next, divide both sides by -4 remembering to flip the inequality sign when dividing by a negative number:
p ≤ 0
Therefore, the solution to the inequality is p ≤ 0.
Answered by
GPT 3.5
The inequality 3 ≥ 3 is a true statement. This means that 3 is greater than or equal to 3, which is correct. When both sides of an inequality are the same number, it means that the numbers are equal, and the inequality holds true.