A company that has a large number of supermarket grocery stores claims that customers who pay by personal checks spend an average of $87 on groceries at these stores with a standard deviation of $22. Assume that the expenses incurred on groceries by all such customers at these stores are normally distributed. What percentage of customers paying by check spend between $59.94 and $114.06 on groceries? Round your answer to two decimal places. % of customers paying by check spend between $59.94 and $114.06 on groceries.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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**1. Answer the following questions:**
A company that has a large number of supermarket grocery stores claims that customers who pay by personal checks spend an average of $87 on groceries at these stores with a standard deviation of $22. Assume that the expenses incurred on groceries by all such customers at these stores are normally distributed. What percentage of customers paying by check spend between $59.94 and $114.06 on groceries?
Round your answer to two decimal places.
- **% of customers paying by check spend between $59.94 and $114.06 on groceries:** [Input box]
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At Jen and Perry Ice Cream Company, the machine that fills 1-pound cartons of Top Flavor ice cream is set to dispense 16 ounces of ice cream into every carton. However, some cartons contain slightly less than and some contain slightly more than 16 ounces of ice cream. The amounts of ice cream in all such cartons have a normal distribution with a mean of 16 ounces and a standard deviation of 0.41 ounces. Find the probability that a randomly selected carton contains 16.055 to 16.174 ounces of ice cream.
Round your answer to four decimal places.
- **P =** [Input box]
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Two companies, **A** and **B**, drill wells in a rural area. Company **A** charges a flat fee of 3669 dollars to drill a well regardless of its depth. Company **B** charges 985 dollars plus 9 dollars per foot to drill a well. The depths of wells drilled in this area have a normal distribution with a mean of 250 feet and a standard deviation of 45 feet. Find the probability that Company **B** would charge more than Company **A** to drill a well.
Round your answer to four decimal places.
- **P =** [Input box]
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The amount of time taken by a bank teller to serve a randomly selected customer has a normal distribution with a mean of 2 minutes and a standard deviation of 0.5 minutes. Find the probability that at least one of four randomly selected customers will need more than 2.25 minutes to be served.
Round your answer to four decimal places.
- **P =** [Input box]
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