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Harrizon [31]
4 years ago
10

Is my answer correct??

Mathematics
2 answers:
AfilCa [17]4 years ago
8 0
Answer: b ≈22.9

This problem is to be solved using the Pythagorean theorem. The equation for that is:

a ²+b ²=c ²

A and b are the legs (the shortest sides)
C is the hypotenuse (longest side)

Let’s write in what we know of the equation. C, the hypotenuse, is 25. That means that 10 and b are the legs. Let’s fill this into the equation and solve.

a ²+b ²=c ²

*fill in information*

10 ²+b ²=25 ²

*square numbers*

100+b ²=625

*subtract 100 on both sides*

b ²=525

*find square root*

b ≈22.9

This is your answer! Hope this helps comment below for more questions :)
Kryger [21]4 years ago
6 0

Answer:

That is incorrect. The correct answer is 22.9 cm

Step-by-step explanation:

As this is a right triangle with two side lengths given, we can use the Pythagorean theorem to find the final side. Recall that the Pythagorean theorem states: a^2+b^2=c^2

In the case of this problem: a is x, b is 10, and c is 25. Knowing this, we can plug these values into the formula and solve for x

x^2+10^2=25^2\\\\x^2+100=625\\\\x^2=525\\\\x=\sqrt{525} \\\\x=22.912\\\\x=22.9

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Answer:

a) P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)

And we can find this probability using the complement rule:

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And we can find this probability with this difference:

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P(-1.25

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".  

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(5,1.2)  

Where \mu=5 and \sigma=1.2

We are interested on this probability

P(X>3.5)

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(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)

And we can find this probability using the complement rule:

P(z>-1.25)=1-P(z

Part b

We are interested on this probability

P(X

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(X

And we can find this probability uing the normal standard table:

P(z

Part c

P(3.5

And we can find this probability with this difference:

P(-1.25

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-1.25

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