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BartSMP [9]
3 years ago
15

Multiplying mixed numbers and whole numbers 1 1/2 x 2/1 =

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0

Answer: 3

Step-by-step explanation:

1. Convert the mixed number to fraction:

- Multiply the denominator of the fraction by the whole number.

- Add the product obtained and the numerator of the fraction.

- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.

Then:

1\ 1/2=\frac{(1)(2)+1}{2}=\frac{3}{2}

2. Multiply the numerators.

3. Multiply the denominator.

4. Reduce the fraction.

Then:

(\frac{3}{2})(\frac{2}{1})=\frac{6}{2}=3

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Answer:

I'm not sure from my answer but I'm going to try

A =  { a^2  -  4  = 0 }

A = { a^2  = 0+ 4 }

A = { a^2  = 4}

Take root of both sides

A = {a = 2}

A = {2}

B = { -2, -1, 0, 1, 2}

C = { 1, 2, 3, 4, 5, 6,7}

i) A\B

= {2} \ {-2,-1,0,1,2}

= ⌀ ( "null set" )

ii) (A\B) \C

= ( {2} \ {-2,-1,0,1,2} ) \ C

= ⌀ \ C

= ⌀ \ { 1, 2, 3, 4, 5, 6,7}

= ⌀ ( "null set" )

iii) (A ∪ B) \ C

= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C

= { -2, -1, 0, 1, 2} \C

= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}

= { -2, -1, 0 }

iv) ( A\B) ∩ ( A\C)

= (  { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )

= ⌀ ∩ ⌀

= ⌀

v) ( A ∩ B ) \ C

= ( { 2 }  ∩  { -2, -1, 0, 1, 2 } ) \ C

= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }

= ⌀ "null set"

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3 years ago
How to find R of a cone?
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3 years ago
Read 2 more answers
you want to create a 99 confidence interval with a margin of error of 25 assuming that the population standard deviation is equa
Ahat [919]

Answer:

The minimum sample size is 239.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.99}{2} = 0.005

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.005 = 0.995, so Z = 2.575.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Population standard deviation is equal to 1.5

This means that \sigma = 1.5

Margin of error of 0.25

This means that M = 0.25

What's the minimum size of the sample?

M = z\frac{\sigma}{\sqrt{n}}

0.25 = 2.575\frac{1.5}{\sqrt{n}}

0.25\sqrt{n} = 2.575*1.5

\sqrt{n} = \frac{2.575*1.5}{0.25}

(\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2

n = 238.7

Rounding up:

The minimum sample size is 239.

4 0
3 years ago
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