Answer:
15.39% of the scores are less than 450
Step-by-step explanation:
Problems of normally distributed samples are 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:

What percentage of the scores are less than 450?
This is the pvalue of Z when X = 450. So



has a pvalue of 0.1539
15.39% of the scores are less than 450
Liz would have to pay $45,000. 3 x 15,000 = 45,000. Hope this helps
Answer:y+2.9=11, 2y+1=17.2, 28.4-y=20.3
Step-by-step explanation:
The tangent at A is perpendicular to OA, so has a slope that is the negative reciprocal of that of the radius: -1/2.5 = -2/5.
<h3>
Answer: C) Discriminant</h3>
The formula for the discriminant is
d = b^2 - 4ac
If d < 0, then there are no real number solutions
If d = 0, then you have exactly one real solution
If d > 0, then you have two different real number solutions