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Kamila [148]
3 years ago
15

When is factoring by grouping easier to use. How many terms must you have to have ?

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0
You must have 4 terms for factoring by grouping to be easier to use.

For example...
x^2 + 10x + 2x + 20
(x^2 + 10x) + (2x + 20)
x(x+10) + 2(x+10)
(x+2)(x+10)

The first line, the expression x^2+10x+2x+20, has four terms.

Note: Just because you have four terms doesn't automatically guarantee you can factor
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Answer:

a) ii. This is a left-tailed test.

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Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 7 hours

Sample mean, \bar{x} = 6.87 hours

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Alpha, α = 0.10

Sample standard deviation, s =  0.55 hours

First, we design the null and the alternate hypothesis

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a) We use one-tailed(left) t test to perform this hypothesis.

b) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

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c) Now,

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Since,                    

t_{stat} < t_{critical}

d) We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis and conclude that  mean number of hours of sleep for all college students is less than 7 hours.

e) Option i) The data supports the claim that college students get less sleep than the general population.

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3 years ago
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