A circular gear turns 120 per hour. Through how many radians does it turn in a 24-hour day?
2 answers:
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Answer:
Brian had $30 initially.Brian had $30 initially.
Step-by-step explanation:
WE are given the following in the question:
Let Brian have x dollars and Colin have y dollars.
Ration of Brian's money to Colin's money is 5:1. This, we can write the equation:
"Brian spent £27 that day. Brian now had £3 less than Colin."
Thus, we can write the equation:
Solving the two equation by substitution, we get,
Thus, Brian had $30 initially.
A sample size of 60 is required.
We use the formula
We first find the z-score associated with this level of confidence:
Convert 99% to a decimal: 99/100 = 0.99
Subtract from 1: 1-0.99 = 0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table (http://www.z-table.com) we see that this value is equally distant from 2.57 and 2.58; therefore we will use 2.575:
We use the formula
We first find the z-score associated with this level of confidence:
Convert 99% to a decimal: 99/100 = 0.99
Subtract from 1: 1-0.99 = 0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table (http://www.z-table.com) we see that this value is equally distant from 2.57 and 2.58; therefore we will use 2.575: