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sladkih [1.3K]
3 years ago
5

Find the LCM of the numbers using lists of multiples.

Mathematics
2 answers:
borishaifa [10]3 years ago
4 0
1.) the l.c.m is 28
2.)the l.c.m is 60
3.)the l.c.m is 84
Aleksandr-060686 [28]3 years ago
3 0
LCM answers:

1. 28

2. 60

3. 84
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What is the value of hin the figure below? In this diagram, ABAD ~ ACBD.
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Answer:

  F.  8

Step-by-step explanation:

The ratio of the long side to the short side is the same in similar triangles. The long side of triangle BAD is AD, which has length 20-4 = 16.

  BD/DE = AD/BD

  h/4 = 16/h

  h^2 = 64 . . . . . . . multiply by 4h

  h = 8 . . . . . . . . . . take the square root (matches selection F)

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<em>Comment on this geometry</em>

BD = √(AD·DC) is called the "geometric mean" of the segments AD and DC. This geometry has some other geometric mean relationships as well:

BC = √(AC·DC)

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A

Step-by-step explanation:

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At the local college, a study found that students earned an average of 14.8 credit hours per semester. A sample of 94 students w
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Answer:

By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.

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.

Mean of the sample:

14.8 credit hours per semester.

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By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.

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