Answer:
The score that separates the lower 5% of the class from the rest of the class is 55.6.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:

Find the score that separates the lower 5% of the class from the rest of the class.
This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.


The score that separates the lower 5% of the class from the rest of the class is 55.6.
Answer:
(2,0)
Step-by-step explanation:
On the x-axis, the point is at 2. The point has a y-value of 0, as it's on the x-axis.
Answer:
C(2, 2) is the solution to both lines A and B.
Step-by-step explanation:
Line A is given as:
A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6.
We know that the equation of a line passing through (a,b) and (c,d) is calculated as:
Hence, the equation of line is:
Hence, equation of line A is:
Similarly B is a line passing through (0,0) and (5,5).
Hence, the equation of line B is:
So, from the graph we observe that, the point of intersection of the two lines is (2,2).
Thus, option C is correct.
Answer:
CD ≈ 15.0
Step-by-step explanation:
calculate CD using the distance formula
d = 
with (x₁, y₁ ) = C (7, - 4) and (x₂, y₂ ) = D (- 8, - 5)
CD = 
= 
= 
= 
= 
≈ 15.0 ( to the nearest tenth )