Answer:
The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.
The minimum daily balance on which it should be willing to pay interest is $1,198.
Step-by-step explanation:
We have a normal distribution with mean = $800 and standard deviation = $150.
a) We can calculate this value with the standard normal distribution, calculating the z-value for $700 and $1,000.
The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.
b) We must calculate from what amount only 6% of the accounts remain.
This is done by solving:
This happens for a z-value of z=2.652.
This corresponds to a amount of $1,198.
The minimum daily balance on which it should be willing to pay interest is $1,198.
Complete question :
The Daily Info charges a fee $650 of plus $80 per week to run an ad. The People's Paper charges $145 per week. Write an inequality to represent the number of weeks an ad must run for the total cost at the Daily Info to be less expensive than the cost at the People's Paper. Let w be the number of weeks the ad runs in the paper
Answer:
650 + 80w < 145w
Step-by-step explanation:
Given that :
Number of weeks ad will run = w
Daily Info total cost :
650 + 80w
The People's Paper total cost:
145w
Number of weeks ad should run For cost at daily info to be less expensive than peoples choice';
Daily Info total cost < people's choice
650 + 80w < 145w
650 < 145w - 80w
650 < 65w
650/65 < 65w / 65
10 < w
w > 10
I think it applies to all the shapes
the probability that the sample mean will be smaller than m = 22 is 0.02275.
For the given question,
A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.
Here sample size, n = 4
mean, μ = 30
standard deviation, σ = 8
The probability that the sample mean will be smaller than m = 22 is
z = 
⇒ z =
⇒ z = 
⇒ z = 
⇒ z = -2
Refer the Z table for p value,
Thus for P(z < -2) is 0.02275.
Hence we can conclude that the probability that the sample mean will be smaller than m = 22 is 0.02275.
Learn more about probability of the sample mean here
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Answer:
Number 1 is 1900...I think
Step-by-step explanation:
