Answer:
A. 4.2 times
Step-by-step explanation:
Chlorine level of the pool as adjusted by Paula = 6.3 parts per million
Ideal Chlorine level as suggested by the magazine = 1.5 parts per million.
Thus, the number of times the ideal level of Chlorine that the current level is = current level ÷ ideal level
=
The current Chlorine level is 4.2 times the ideal Chlorine level.
Answer:
SAS theorem
Step-by-step explanation:
Given
Required
Which theorem shows △ABE ≅ △CDE.
From the question, we understand that:
AC and BD intersects at E.
This implies that:
and
So, the congruent sides and angles of △ABE and △CDE are:
---- S
---- A
or
--- S
<em>Hence, the theorem that compares both triangles is the SAS theorem</em>
Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So
has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals