Answer:
0.7422 = 74.22% of scores are above 74.
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 problem, we have that:

Calculate the proportion of scores above 74.
This is 1 subtracted by the pvalue of Z when X = 74. So



has a pvalue of 0.2578
So 1-0.2578 = 0.7422 = 74.22% of scores are above 74.
Answer:
Final answer is x=4, y=7.
Step-by-step explanation:
Questions says to use the graph to determine the number of solutions the system has. where system of equations are x=4 and y=x+3
any equation of the form x=k is a vertical line crossing x-axis at k.
So x=4 is a vertical line crossing x-axis at 4.
y=x+3 has slope m=1 and y-intercept b=3
So it passes through point (0,3) and for slope m=1, rise 1 up then 1 right to get new point.
Then final graph is given as shown in the picture.
We can see that both lines intersect at point (4,7).
Hence final answer is x=4, y=7.
Where the line segment A starts is home
Answer:

EQUATION OF LINE PERPENDICULAR



EQUATION OF LINE PARALLEL


The center-radius form of the circle equation

(h, k) - center
r - radius
We have:

Use

