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neonofarm [45]
3 years ago
7

Clare follows the same workout cycle each time she goes to the gym. First, she runs for 1 3 of an hour. Then, she lifts weights

for 1 6 of an hour. If Clare has 1 1 2 hours to spend at the gym, how many times can she go through her workout cycle?
Mathematics
1 answer:
____ [38]3 years ago
8 0

Answer:

3 times

Step-by-step explanation:

She has 1 1/2 hour to spend in the gym.

1 hr = 60 minute

1/2 of an hour

= 1/2 * 60

= 30 minutes.

In total, she spends 90 minutes in the gym.

If 1/3 of an hour is meant in running, it translates into;

1/3 * 60 = 20 minutes

If 1/6 of an hour is spent in weight-lifting, it translates into;

1/6 * 60 = 10 minutes

In total, she spends,

20 minutes + 10 minutes = 30 minutes for both activities.

To obtain the number of times she would perform both activities, we divide the total amount of time spent in the gym by the amount of time spent for both activities.

=  90 minutes/30 minutes

= 3 times for each cycle.

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The meat department of a local supermarket packages ground beef using meat trays of two sizes: 1 designed to hold 1 lb of meet a
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c) 0.932

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Step-by-step explanation:

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Given random sample of 35 packages in small meat trays produced weight with an average of 1.01 lbs. and standard deviation  of 0.18 lbs.

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<u>The 99% confidence intervals are given by</u>

(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } , x^{-} +t_{\alpha } \frac{S}{\sqrt{n} } )

The degrees of freedom γ=n-1 =35-1=34

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99% confidence interval for average weights of all packages sold in small meat trays

(1.01 - 2.0322 \frac{0.18}{\sqrt{35} } , 1.01+2.0322 \frac{0.18}{\sqrt{35} } )

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<u>99% confidence interval for average weights of all packages sold in small meat trays.</u>

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