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3 years ago

Find a formula for h(x). Give an exact expression. Help please

Mathematics

1 answer:

Fed [463]3 years ago

4 0

Answer:

$y=\frac{9}{2}\cos \left(\frac{4}{3}x+\frac{2\pi }{3}\right)+\frac{1}{2}\\\\Or\\\\y=4.5\cos \left(1.33x+0.67\pi \right)+0.5$

Step-by-step explanation:

See the attachment below.

Best Regards!

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AfilCa [17]

Sixty two is your answer you’re adding all the sides

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2 years ago

Classify the following triangle. check all that apply

Vsevolod [243]

Answer is acute and scalene

This triangle is acute since all angles (51, 79, 70) are all less than 90 degrees. It is a scalene triangle as well since none of the sides (10, 12.1 , 11) are equal to each other.

Here are the other definitions to help you in the future

equilateral- All sides are the same. Right - Has one right angle. Obtuse - Has an angle more than 90 degrees. Isosceles - Only two sides are the same. One is different.

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2 years ago

Read 2 more answers

SAT scores are normed so that, in any year, the mean of the verbal or math test should be 500 and the standard deviation 100. as

vovangra [49]

Answer:

a) $P(X>625)=P(\frac{X-\mu}{\sigma}>\frac{625-\mu}{\sigma})=P(Z>\frac{625-500}{100})=P(Z>1.25)$

$P(Z>1.25)=1-P(Z$

b) $P(400$

$P(-1$

c) $z=-0.842$

And if we solve for a we got

$a=500 -0.842*100=415.8$

So the value of height that separates the bottom 20% of data from the top 80% is 415.8.

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 SAT scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(500,100)$

Where $\mu=500$ and $\sigma=100$

We are interested on this probability

$P(X>625)$

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:

$P(X>625)=P(\frac{X-\mu}{\sigma}>\frac{625-\mu}{\sigma})=P(Z>\frac{625-500}{100})=P(Z>1.25)$

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

$P(Z>1.25)=1-P(Z$

Part b

We are interested on this probability

$P(400$

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:

$P(400$

And we can find this probability with this difference:

$P(-1$

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

$P(-1$

Part c

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.8$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.2 of the area on the left and 0.8 of the area on the right it's z=-0.842. On this case P(Z<-0.842)=0.2 and P(Z>-0.842)=0.8

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.842$

And if we solve for a we got

$a=500 -0.842*100=415.8$

So the value of height that separates the bottom 20% of data from the top 80% is 415.8.

8 0

2 years ago

Please help im in a rush

serious [3.7K]

Answer:

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Volume: 112 cm^3

b) Surface Area

c) Volume

Step-by-step explanation:

6 0

1 year ago

The distance a cargo ship travels is proportional to time. In 2 hours, the ship travels 53 miles. The relationship between dista

frutty [35]

Answer:26

Step-by-step explanation:

The reason i got 26:

-we substitute the letters(variables) and have 52=(k)2

but what is k? k is y divided by x (just like y is k times x)

6 0

2 years ago