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:
you are actually incorrect the answer is 2π
Answer:
a
The 95% confidence interval is 
b
The sample proportion is 
c
The critical value is 
d
The standard error is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 200
The number of defective is k = 18
The null hypothesis is 
The alternative hypothesis is 
Generally the sample proportion is mathematically evaluated as
Given that the confidence level is 95% then the level of significance is mathematically evaluated as
Next we obtain the critical value of 
from the normal distribution table, the value is
Generally the standard of error is mathematically represented as
substituting values
The margin of error is
=> 
=> 
The 95% confidence interval is mathematically represented as
=> 
=>
(x – h)^2<span> + (y – k)^</span>2<span> = r^</span><span>2</span>
Answer:
The correct option is;
Shirt Express charges less per shirt. For the cost to be the same 74 shirts must be ordered
Step-by-step explanation:
1) The given table for Shirt Express can be used to find the equation of the total cost of each made by Shirt Express as follows;
The rate of change of the function m is given as follows;
Therefore, we have;
m = (438 - 353)/(50 - 40) = 8.5
Te equation in slope and intercept form is then y - 438 = 8.5(x - 50)
From which we have;
y = 8.5·x - 8.5×50 + 438 = 8.5·x + 13
y = 8.5·x + 13
Therefore, Shirt Express initially charges 13 per shirt which is less than the 50 Shirt Custom charges
2) the cost to be the same, we equate both shirts equations to get;
8.5·x + 13 = 8·x + 50
0.5·x = 50 - 13 = 37
x = 37/0.5 = 74 shirts
Therefore, for the cost to be the same 78 shirts must be ordered
