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anyanavicka [17]
4 years ago
7

What is the smallest odd number with four different prime factors?

Mathematics
2 answers:
nevsk [136]4 years ago
8 0
Obviously the smallest odd number we are looking for will have the SMALLEST four prime factors. 

The smallest four prime numbers are 2,3,5,7. The lowest multiple of this is 2*3*5*7 = 210 But this is an even number! 

So let's remove 2, and use the next prime number: 3,5,7,11. The lowest multiple of these is 3*5*7*11 = 1155.


torisob [31]4 years ago
5 0
The answer is 210 since the numbers are (2x3x5x7)
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Answer:

I think it may be B

Step-by-step explanation:

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3 years ago
If a Tv screen is 20in wide and 15in high, what is the length?
yuradex [85]
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5 0
4 years ago
What points should I use to graph a linear line for Y= x+1
ivann1987 [24]

Answer:

y=x+1--> (0,1) and (1,2)

and for a bonus

y=x-3--> (0,-3) and (1,-2)

Step-by-step explanation:

8 0
3 years ago
Factor 9x^2+66xy+121y^2
Korvikt [17]
Answer: (3x + 11y)^2

Demonstration:

The polynomial is a perfect square trinomial, because:

1) √ [9x^2] = 3x

2) √121y^2] = 11y

3) 66xy = 2 *(3x)(11y)

Then it is factored as a square binomial, being the factored expression:

 [ 3x + 11y]^2

Now you can verify working backwar, i.e expanding the parenthesis.

Remember that the expansion of a square binomial is:

- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2

=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.

7 0
4 years ago
In a population of bats living in a certain region, 30 percent have a wingspan greater than 10 inches. In a random sample of 80
Kisachek [45]

Answer:

The correct option is (e).

Step-by-step explanation:

In this case we need to determine whether there is any difference between the proportion of bats with a wingspan greater than 10 inches living outside the region from that of the bats living in the region.

The hypothesis can be defined as follows:

<em>H₀</em>: There is no difference between the proportion of bats with a wingspan greater than 10 inches living outside the region and of the bats living in the region, i.e. <em>p</em> - <em>p₀</em> = 0.

<em>Hₐ</em>: There is a difference between the proportion of bats with a wingspan greater than 10 inches living outside the region and of the bats living in the region, i.e. <em>p</em> - <em>p₀</em> ≠ 0.

The information provided is:

<em>n</em> = 80

<em>X</em> = 20

<em>p₀</em> = 0.30

A <em>z</em>-test for single proportion will be used to perform the analysis.

Compute the sample proportion of  bats living outside of the region having  a wingspan greater than 10 inches as follows:

p=\frac{X}{n}=\frac{20}{80}=0.25

The test statistic is given as follows:

z=\frac{p-p_{0}}{\sqrt{\frac{p_{0}(1-p_{0})}{n}}}

Compute the value of the test statistic as follows:

z=\frac{p-p_{0}}{\sqrt{\frac{p_{0}(1-p_{0})}{n}}}

  =\frac{0.25-0.30}{\sqrt{\frac{0.30(1-0.30)}{80}}}

  =\frac{0.25-0.30}{\sqrt{\frac{0.30\times 0.70}{80}}}

Thus, the test statistic is z=\frac{0.25-0.30}{\sqrt{\frac{0.30\times 0.70}{80}}}.

The correct option is (e).

5 0
4 years ago
Read 2 more answers
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