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3 years ago

How many solutions can a single variable linear equation contain?

Mathematics

1 answer:

DENIUS [597]3 years ago

3 0

One solution. Given that there is only one variable and it is linear, we know it must only have one solution. <span />

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Mark is 7 years older than his brother, who is y years old. Which expression correctly represents Mark's age?

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7 + Y = X (x= His unknown age)

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3 years ago

Which of the following is √49 simplified?

ZanzabumX [31]

Answer:

Step-by-step explanation:

Put √49 in a calculator and it will give you 7.

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Given that z is a standard normal random variable, find z for each situation. The area between 0 and z is .4750. Answer The area

algol13

Answer:

$P(0$

And solving for z we have

$P(Z$

And we can find the value for z with the following excel code:

"=NORM.INV(0.975,0,1)"

And we got z =1.96

$P(Z>z)= 0.1314$

And we can use the complement rule and we got:

$P(Z>z) = 1-P(Z$

$P(Z$

And we can find the value for z with the following excel code:

"=NORM.INV(0.8686,0,1)"

And we got z =1.120

$P(Z$

And we can find the value for z with the following excel code:

"=NORM.INV(0.67,0,1)"

And we got z =0.440

Step-by-step explanation:

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".

Solution to the problem

We want this probability:

$P(0$

And solving for z we have

$P(Z$

And we can find the value for z with the following excel code:

"=NORM.INV(0.975,0,1)"

And we got z =1.96

For the next part we want to calculate:

$P(Z>z)= 0.1314$

And we can use the complement rule and we got:

$P(Z>z) = 1-P(Z$

$P(Z$

And we can find the value for z with the following excel code:

"=NORM.INV(0.8686,0,1)"

And we got z =1.120

For the next part we want to calculate:

$P(Z$

And we can find the value for z with the following excel code:

"=NORM.INV(0.67,0,1)"

And we got z =0.440

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3 years ago

Which expression is equivalent to Assume x > 0 and y 0.

Svetach [21]

we have

$\sqrt{\frac{55x^{7}y^{6}}{11x^{11}y^{8}}}$

we know that

$\sqrt{\frac{55x^{7}y^{6}}{11x^{11}y^{8}}} =\sqrt{\frac{55}{11}\frac{x^{7}}{x^{11}}\frac{y^{6}}{y^{8}}} \\ \\= \sqrt{\frac{5}{x^{4} y^{2}}} \\ \\ =\frac{\sqrt{5}}{x^{2} y}$

therefore

<u>the answer is</u>

The expression equivalent is $\frac{\sqrt{5}}{x^{2} y}$

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The correct answer is true ~ Apex

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