Solve x - 2. 6 Greater-than-or-equal-to 9. 4 and graph the solution on the number line. Which statements are true? Check all tha
1 answer:
Answer:
- X Greater-than-or-equal-to 12
- A closed circle is used on the graph.
- The arrow on the graph points right.
Step-by-step explanation:
This one-step inequality can be solved by adding the opposite of the constant that is added to x. A number line graph of the solution is attached.
x -2.6 ≥ 9.4
x ≥ 12.0 . . . . . . add 2.6 to both sides
The "greater than" relation means that numbers larger than 12 will be included in the solution set. Shading of the number line will be to the right of 12.
The "or equal to" relation means that 12 itself is included in the solution set. This is indicated by a closed circle at 12 on the graph.
The true statements are ...
- X Greater-than-or-equal-to 12
- A closed circle is used on the graph.
- The arrow on the graph points right.
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Step-by-step explanation:
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Answer:
So then the correct answer for this case is:
B) Our student, Z= 1.50; his friend, Z=2.00.
Step-by-step explanation:
Assuming this complete question:
A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exams were scored on different scales. Remembering what he learned about the advantages of Z scores, he asks his friend for the mean and standard deviation of her class on the exam, as well as her final exam score. Here is the information:
Our student: Final exam score = 85; Class: M = 70; SD = 10.
His friend: Final exam score = 45; Class: M = 35; SD = 5.
The Z score for the student and his friend are:
A) Our student, Z= -1.07; his friend, Z= -1.14.
B) Our student, Z= 1.50; his friend, Z=2.00.
C) Our student, Z= 1.07; his friend, Z= -1.14.
D) Our student, Z= 1.07; his friend, Z= 1.50
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution
Let X the random variable that represent the scores for our student, and for this case we know that:
The z score is given by:
If we use this we got:
Let Y the random variable that represent the scores for his friend, and for this case we know that:
The z score is given by:
If we use this we got:
So then the correct answer for this case is:
B) Our student, Z= 1.50; his friend, Z=2.00.