Answer:
The z value is - 2.88
Step-by-step explanation:
The formula of the z-score of a population is z = (x¯ - μ)/(σ/)
The given in the problem is:
Let us substitute all of these values in the rule above
Simplify up and down
z = - 2.883333
Round it to 2 decimal places
∴ z = - 2.88
The z value is - 2.88
Answer:
0.6 = 60% probability that he or she studies on a weeknight.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Probability A: Probability of a student studying on weeknights.
Probability B: Probability of a student studying on weekends.
Forty-two percent of students said they study on weeknights and weekends
This means that
47% said they studied on weekends
This means that
65% said they study either on weeknights or weekends.
This is
If you were to pick one student at random, what is the probability that he or she studies on a weeknight?
This is P(A), and the equation used is:
Considering the values we have:
0.6 = 60% probability that he or she studies on a weeknight.
<u>To solve this problem, we must consider all the trigonometric equations</u>:
⇒ (<em>see image below)</em>
<u>Let's examine the diagram</u>:
<u>Thus we can use:</u>
<u>Answer: 49 degrees</u> <em>(as rounded)</em>
Hope that helps!
