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3 years ago

Sue has 3 apples. Jim has 4 oranges. Which child has an even number of items?

Mathematics

1 answer:

storchak [24]3 years ago

4 0

Answer:

Jim has an even number of items [or more specifically four fruits].

Step-by-step explanation:

First: Ask yourself the question: what is even?

An even number is 2 and every multiple of 2. So, every other number is not an even number; they're odd.

That makes things easier, right?

Second: Evaluate who has an even number of items:

Sue has 3 apples. So she has 3 items. Is three a multiple of 2?

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Three is not listed in this list so it's not a even number. It would have appeared between two and four. So, three is odd.

Jim has 4 oranges. So he has 4 items. Is four a multiple of 2?

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

4 is a multiple of 2. So it is an even number. So Jim has an even number of items [or fruits].

Thanks

Topic: Number Features

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Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that

amm1812

Answer:

The value is $P(| \^ p - p| < 0.05 ) = 0.9822$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.52$

The sample size is n = 563

Generally the population mean of the sampling distribution is mathematically represented as

$\mu_{x} = p = 0.52$

Generally the standard deviation of the sampling distribution is mathematically evaluated as

$\sigma = \sqrt{\frac{ p(1- p)}{n} }$

=> $\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }$

=> $\sigma = 0.02106$

Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

$P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))$

Here $\^ p$ is the sample proportion of persons with a college degree.

$P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )$