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2 years ago

An angle measures 58.6° less than the measure of its complementary angle. What is the

Mathematics

1 answer:

Nikitich [7]2 years ago

6 0

Answer:

Your answer is 31.4°.

Step-by-step explanation:

The answer itself just requires very simple thinking. Complementary angles are any two angles that add up to 90 degrees. We are given ANGLE<1, so all we have to do is subtract 90 from 58.6 to find ANGLE<2.

90°-58.6°= 31.4°

Please mark brainilest if this is the most helpful answer.

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2 years ago

A consumer survey indicates that the average household spendsμ= $185on groceries each week. The distribution of spending amounts

Vitek1552 [10]

Answer:

$P(X>200)=P(\frac{X-\mu}{\sigma}>\frac{200-\mu}{\sigma})=P(Z>\frac{200-185}{25})=P(Z>0.6)$

And we can find this probability using the complement rule and with the normal standard table or excel:

$P(Z>0.6)=1-P(z$

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 average household spent of a population, and for this case we know the distribution for X is given by:

$X \sim N(185,25)$

Where $\mu=185$ and $\sigma=25$

We are interested on this probability

$P(X>200)$

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:

$P(X>200)=P(\frac{X-\mu}{\sigma}>\frac{200-\mu}{\sigma})=P(Z>\frac{200-185}{25})=P(Z>0.6)$

And we can find this probability using the complement rule and with the normal standard table or excel:

$P(Z>0.6)=1-P(z$

7 0

2 years ago

There is a special relationship between the lengths of the legs of a right triangle and the length of its hypotenuse. This relat

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Answer:

Hello, There!

<h2>Question</h2>

There is a special relationship between the lengths of the legs of a right triangle and the length of its hypotenuse. This relationship is known as the

<h2>Answer</h2>

Pythagorean Theorem.

Step-by-step explanation:

The Pythagorean Theorem states that the square of one leg (a) plus the square of the other leg (b) is equal to the square of the hypotenuse (c). This can be written as $A^{2}$ + $B^{2}$ = $C^{2}$ .