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:
please look at the attached picture and I hope you understand because I made it really easy to understand
Step-by-step explanation:
d^3=d*d*d=10*10*10=1000
450=c*1000
450/1000=c
9/20=c
Answer:
its C
Step-by-step explanation:
2) 200 mL
3) 0.2 kg
Step-by-step explanation:
2)
In this problem, we know that:
- With 1 liter of juice, we can fill a total of 5 cups
So we know that the total volume of 5 cups is equal to
V = 1 L
This means that the volume of each cup is equal to the total volume divided by the number of cups (5), therefore:
And keeping in mind the equivalence between liters and milliliters:
1 L = 1000 mL
This means that the capacity of each cup is
3)
Here we want to find the mass contained in each cup.
We know that the mass of a substance is related to each volume by the equation
where
d is the density
m is the mass
V is the volume
In this problem, we have:
V = 0.2 L is the volume of juice in each cup
is the density of juice (assuming it is the same as the density of water)
So, the mass of juice in one cup is:
