Answer:

Step-by-step explanation:
<em>log</em> (
) <em>= log</em> (
) <em>{take both the sides}</em>
* ( log ( 2 ) ) = log (
)


<em>hope this helps....</em>
Answer:
a(a + 3b)
Step-by-step explanation:
a² + 2ab + ab
a² + 3ab
a(a + 3b)
Answer:
A customer who sends 78 messages per day would be at 99.38th percentile.
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.
Average of 48 texts per day with a standard deviation of 12.
This means that 
a. A customer who sends 78 messages per day would correspond to what percentile?
The percentile is the p-value of Z when X = 78. So



has a p-value of 0.9938.
0.9938*100% = 99.38%.
A customer who sends 78 messages per day would be at 99.38th percentile.
Remark
The intersecting chord theorem states that when 2 chords intersect, the product of the parts of one chord = the product of the 2 parts of the other chord.
In this case ML * LE = IL * LS
Givens
ML = x; LE = 12; IL = 9; LS = 4
Substitute and Solve
12x = 9*4
12x = 36 Divide by 12
x = 36/12
x = 3 Answer <<<<<