At a small coffee shop, the distribution of the number of seconds it takes for a cashier to process an order is approximately no
1 answer:
Answer:
The correct option is;
A. 0.17
Step-by-step explanation:
The given information are;
The mean duration it takes a cashier to process an order, μ = 276 seconds
The standard deviation from the mean, σ = 38 seconds
The z-score of the order processing time of x = 240 seconds is given as follows;
Therefore;
The probability
P(z = -0.9474) = 0.17361
Therefore, the proportion of orders which are processed in less than 240 is approximately 0.17361 or 0.17 to two places of decimal.
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In order to determine the balance of the account, use the following formula for the amount of money obtained after t years, basen on a compound interest:
where,
P: principal = $12,500
A: amount earnt after t years = ?
r: interest rate in decimal form = 0.045 (4.5%)
n: times at year for the compund interes = 4 (quaterly)
Replace the previous values of the parameters into the formula for A and simplify:
Hence, the balance after 8 years is approximately $17,880.64 in the account.
The interest earnt by the account is given by the difference between the previous result and the principal invesment:
I = $17,880.64 - $12,500 = $5,380.64
Hence, the interest earnt is $5,380.64