6.4 × 10^{3} [/tex] + 1.4 × 10^{4} [/tex] + 7.5 × 10³= ?
1 answer:
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Answer:
(a) The percentage of the scores were less than 59% is 16%.
(b) The percentage of the scores were over 83% is 2%.
(c) The number of students who received a score over 75% is 26.
Step-by-step explanation:
Let the random variable <em>X</em> represent the scores on a Psychology exam.
The random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 67 and standard deviation, <em>σ</em> = 8.
Assume that the maximum score is 100.
(a)
Compute the probability of the scores that were less than 59% as follows:
*Use a <em>z</em>-table.
Thus, the percentage of the scores were less than 59% is 16%.
(b)
Compute the probability of the scores that were over 83% as follows:
*Use a <em>z</em>-table.
Thus, the percentage of the scores were over 83% is 2%.
(c)
It is provided <em>n</em> = 160 students took the exam.
Compute the probability of the scores that were over 75% as follows:
The percentage of students who received a score over 75% is 16%.
Compute the number of students who received a score over 75% as follows:
Thus, the number of students who received a score over 75% is 26.
Answer:
The corresponding point is <em>(-8, -6).</em>
Step-by-step explanation:
Given that
(-6,-6) lies on the graph of
A function is represented in the form:
i.e. (-6,-6) means value of x = -6 is put and value y came out as -6.
Now, we have to find the corresponding point on .
We know the value of
Let us find the value of x where becomes equal to -6
So, let us put value of in
:
(as per given statement)
So, the corresponding point is <em>(-8, -6).</em>