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3 years ago

Name the property illustrated. 1 + 4 = 4 + 1

Mathematics

1 answer:

aleksley [76]3 years ago

4 0

Answer: Communitive property of addition

Step-by-step explanation:

The communitive property states that if you reverse the order of a multiplication or addition problem you will get the same result.

communitive property examples

x + 2 = 2 + x

xy = yx

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Tju [1.3M]

Answer:

Step-by-step explanation:

Rationalize the denominator of b. So, multiply the numerator and denominator by $\sqrt{x}$

$b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x} }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\$

Now, find a +b

$a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}$

Combine like terms

$= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}$

Now find (a + b)²

(a +b)² = $(\frac{2\sqrt{x} }{x})^{2}$

$= \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}$

Hint: $\sqrt{x} *\sqrt{x} =\sqrt{x*x}=x$

5 0

3 years ago

Any good anime recommendations?

Arte-miy333 [17]

Answer:

attack on titans

3 0

3 years ago

Read 2 more answers

Evaluate 3^2 + (7 − 2) ⋅ 4 − 6 over 3

goldfiish [28.3K]

Answer:

7.7

Step-by-step explanation:

we basically follow the BEDMAS rule

1st we workout the bracket (7-2)=5

2nd the exponent 3^2=9

3rd the multiplication (7-2) . 4 = 5 . 4 = 20

4th addition 9+20=29

5th step is subtraction 29-6=23

the final step is dividing 23 by 3, which will become 7.7

6 0

3 years ago

Read 2 more answers

Please show your work <img src="https://tex.z-dn.net/?f=1%5Cfrac%7B2%7D%7B3%7D%20%2B%202%5Cfrac%7B3%7D%7B4%7D" id="TexFormul

Shkiper50 [21]

Answer:

$→1 \frac{2}{3} + 2 \frac{3}{4} \\ = \frac{5}{3} + \frac{11}{4} \\ = \frac{20 + 33}{12} \\ = \frac{53}{12}\\ =\boxed{4\frac{5}{12}}✓$

53/12 is the right answer.

6 0

3 years ago

Read 2 more answers

The length of the human pregnancy is not fixed. It is known that it varies according to a distribution which is roughly normal,

fgiga [73]

Answer:

a) Figure attached

b) $P(234$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(234$

And we can find this probability with this difference:

$P(-2$

An we know using the graph in part a that this area correspond to 0.95 or 95%

c) $P(250$

And we can find this probability with this difference:

$P(-1$

An we know using the graph in part a that this area correspond to 0.95 or 34+34+13.5+2.35%=83.85%

d) $P(X$

And using the z score we got:

$P(X$

And that correspond to approximately 0.15%

Step-by-step explanation:

Part a

For this case we can see the figure attached.

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part b

Let X the random variable that represent the length of human pregnancy of a population, and for this case we know that:

Where $\mu=266$ and $\sigma=16$

We are interested on this probability

$P(234$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(234$

And we can find this probability with this difference:

$P(-2$

An we know using the graph in part a that this area correspond to 0.95 or 95%

Part c

$P(250$

And we can find this probability with this difference:

$P(-1$

An we know using the graph in part a that this area correspond to 0.95 or 34+34+13.5+2.35%=83.85%

Part d

We want this probability:

$P(X$

And using the z score we got:

$P(X$

And that correspond to approximately 0.15%

5 0

3 years ago