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bekas [8.4K]
3 years ago
13

Gabe has to complete 1,422 math problems during the next 18 weeks. If he spreads the problems evenly across the weeks, how many

problems will he complete each week?
Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0

Answer:

79 problems each week

Step-by-step explanation:

To find this answer, just divide the total number of math problems (1,422) by how many weeks Gabe had to do them (18). This will give you a final answer of 79 problems per week. My work is below!

1,422 / 18 = 79 problems per week

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Read 2 more answers
In a sample of 115 115 curtains, the average length was found to be 32.2in. 32.2 ⁢ in. With a standard deviation of 0.8 0.8 . Gi
pentagon [3]

Answer:

The point estimate for the population standard deviation of the length of the curtains is 8.58in.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

s = 0.8, n = 115

The point estimate for the population standard deviation of the length of the curtains is \sigma. So

s = \frac{\sigma}{\sqrt{n}}

\sigma = s\sqrt{n}

\sigma = 0.8\sqrt{115}

\sigma = 8.58

The point estimate for the population standard deviation of the length of the curtains is 8.58in.

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3 years ago
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