Plz help ASAP! I will mark brainliest if correct

Mathematics

2 answers:

MaRussiya [10]3 years ago

5 0

A = L^2
A = L^2 = 2^2 + 4^2 (Pythagorean’s theorem)
A = L^2 = 20
Therefore the area of the square is 20 units square.

Sergio [31]3 years ago

4 0

Answer:

The answer is 20

Step-by-step explanation:

To find the hypotenuse, you use the pythagorean theorem ( $A^{2}+ B^{2}= C^{2}$ ).

We are given A and B so you insert.

$2^{2}+ 4^{2} =C^{2}$

4+16= $C^{2}$

$C^{2}$ =20

Now you take the square root of C and since it is even, I will leave it in a square root sign.

C= $\sqrt{20}$

C is one side of a square and since all sides are the same, we don't have to find anymore. Now we insert C into the formula for finding the area of a square.

A= $C^{2}$

A= $\sqrt{20} ^{2}$

A=20

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A survey among students at a certain university revealed that the number of hours spent studying the week before final exams was

Rainbow [258]

Answer:

$P(25$

And we can find this probability with this difference:

$P(0$

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

$P(0$

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'

Let X the random variable that represent the hous spent studying the week before final exams of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,6)$