A local bank has determined that the daily balances of the checking accounts of its customers are normally distributed with an average of $280 and a standard deviation of $20. What percentage of its customers' balances is between $241 and $301.60?

83.43% of customer's balances is between $241 and $301.60.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $280

Standard Deviation, σ = $20

We are given that the distribution of daily balance is a bell shaped distribution that is a normal distribution.

Formula:

P(customer's balances is between $241 and $301.60)

Thus, 83.43% of customer's balances is between $241 and $301.60.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18