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.
Answer:
y-intercept of f(x) = 1
y-intercept of g(x) = 1
The slope of f(x) = 1.5
The slope of g(x) = 2
Step-by-step explanation:
x : 0 2 4
f(x) : 1 4 7
The table x , f(x) represents a linear function
The linear function has the form y = mx + c
where m is the slope and c is y-intercept
m = (y₂-y₁)/(x₂-x₁) = (7-4)/(4-2) = 3/2 = 1.5
y-intercept is the value of y at which x = 0
From the table at x = 0 ⇒y= f(x) = 1 ⇒ c = 1
∴ f(x) = 1.5x + 1
And given g(x) = 2x + 1
We will Compare the y-intercepts and slopes of the linear functions f(x) and g(x)
y-intercept of f(x) = 1
y-intercept of g(x) = 1
The slope of f(x) = 1.5
The slope of g(x) = 2
So, y-intercept of f(x) = y-intercept of g(x) = 1
And The slope of g(x) is greater than The slope of f(x)
Answer:
Step-by-step explanation:
We are given that K is the midpoint of JL. Using this information, we want to find JL.
By the definition of midpoint, this means that:
Substitute them for their equations:
Solve for <em>x.</em> Subtract 8<em>x</em> from both sides:
Add 1 to both sides:
And divide both sides by 6. Hence:
JL is the sum of JK and KL. Hence:
Since JK = KL, substitute either one for the other:
Substitute JK for its equation:
Since we know that <em>x</em> = 2:
Thus:
1/2 (2/4) of an hour longer. If you take 1 1/4 and subtract 3/4 you get 2/4=1/2
