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Salsk061 [2.6K]
3 years ago
10

A). Write a number less than 50 that has at least 8 factors. B.) List the number's factors.

Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer: a. Such number that is less than fifty is 48

b. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48 itself.

Step-by-step explanation:

A factor of a number is a number that is capable of dividing another number without leaving any remainder behind. For example, let us consider the number, "12". The factors of 12 refer to other numbers that can divide 12 without leaving any remainder.

Factors of 12 include: 1, 2, 3, 4, 6 and 12 itself. Therefore the number "12" has six factors.

Now, we were asked to write a number that is less than the number "50" and which also has at least 8 factors.

a. One of such numbers that is less than fifty and has at least eight factors is the number, "48".

b. The factors of "48" include:- 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48 itself. So, 48 is less than fifty and it has a total of ten factors.

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Answer:

We need to develop a one-tail t-student test ( test to the right )

We reject H₀  we find evidence that student spent more than 24,5 hours on the phone

Step-by-step explanation:

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And we were asked if the mean is higher than, therefore is a one-tail t-student test ( test to the right )

Population mean   μ₀  = 24,5

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Sample standard deviation s = 2

Hypothesis Test:

Null Hypothesis      H₀                             μ  =  μ₀

Alternative Hypothesis     Hₐ                  μ  >  μ₀

t (c) =  ?

We will define CI = 95 %  then   α = 5 %   α = 0,05    α/2 =  0,025

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And  t(s)

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t(s) = (25,7 - 24,5) /2/√15

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Now we compare   t(c)   and  t(s)

t(c)  =  2,1448         t(s)  = 2,3237

t(s) > t(c)

Then we are in the rejection region we reject H₀   we have evidence at 95% of CI that students spend more than 24,5 hours per week on the phone

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