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djyliett [7]
3 years ago
10

Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they

charged a total of $1325 . What was the rate charged per hour by each mechanic if the sum of the two rates was $160 per hour?
Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer:

10x + 5y = 1325

x + y = 160 --> y = 160 - x

II in I

10x + 5(160 - x) = 1325

10x + 800 - 5x = 1325

5x = 525

x = 105


y = 160 - 105 = 55


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7 measured data points have a sample mean of 1403 and a standard deviation of 27. Determine the best estimate of the mean value
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Answer:

Step-by-step explanation:

Hello!

You have sample of n=7 with mean X[bar]= 1403 and standard deviation S=27 and are required to estimate the mean with a 95%CI.

Asuming this sample comes from a normal population I'll use a stuent t to estimate the interval (a sample of 7 units is too small for the standard normal to be accurate for the estimation):

[X[bar]±t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{n} }]

t_{n-1;1-\alpha /2} = t_{6;0.975}= 2.365

[1403±2.365*\frac{27}{\sqrt{7} }]

[1378.87;1427.13]

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