Answer:
Probability that their mean credit card balance is less than $2500 is 0.0073.
Step-by-step explanation:
We are given that a bank auditor claims that credit card balances are normally distributed, with a mean of $3570 and a standard deviation of $980.
You randomly select 5 credit card holders.
Let<em> </em>
<em> = </em><u><em>sample mean credit card balance</em></u>
The z score probability distribution for sample mean is given by;
Z = 
~ N(0,1)
where, 
= population mean credit card balance = $3570
= standard deviation = $980
n = sample of credit card holders = 5
Now, the probability that their mean credit card balance is less than $2500 is given by = P(<em> </em>< $2500)
P(<em> </em>< $2500) = P( < 
) = P(Z < -2.44) = 1 - P(Z 
2.44)
= 1 - 0.9927 = 0.0073
The above probability is calculated by looking at the value of x = 2.44 in the z table which has an area of 0.9927.
Therefore, probability that their mean credit card balance is less than $2500 is 0.0073.
Answer:
24, 36, 48, and 60
Step-by-step explanation:
The data chosen when using a Systemic Sampling Technique has a specific set interval which keeps on repeating itself until all the data has been chosen. Therefore since the first number that was selected from the population was 12, we can assume that the selected numbers will be every 12 digits. Therefore based on this information, we can calculate that the next four numbers that are chosen would be the 24, 36, 48, and 60
Answer:
1) All possible number tickets for group that spends $57: A, B, C, D
2) All possible number tickets for group that spends $95: B, C, E, F
3) Each ticket will cost at most $19
Step-by-step explanation:
We are told that one group spends $57 dollars while the other group spends $95.
Now,we want to find all possible whole number ticket prices for each group and at most how much each ticket costs.
To do this, let's first find the factors of both amounts which will give us all possible whole number ticket prices for each group.
57: 1, 3, 19, 57
95: 1, 5, 19, 95
Since each ticket costs same amount, to find out at most how much each ticket costs, we will select the highest common factor of both groups which is 19.
Thus,each ticket will cost at most $19
Answer:
-4
Step-by-step explanation:
3(2x+8) = 0
Distribute
6x + 24 = 0
24 = -6x + 0
24/-6 = -4
Answer:
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Step-by-step explanation:
