A simple random sample of 55 screws supplied by a certain manufacturer is obtained, and the length of each screw is measured. The sample mean is found to be 0.878 in. Assume that the standard deviation of all such lengths is 0.014 in, and use a 0.05 significance level to test the claim that the screws have a mean length equal to 7 divided by 8 in (or 0.875 in), as indicated on the package labels. Do the screw lengths appear to be consistent with the package label?

180

step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

step-by-step explanation:

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