a gas in a rigid container has a pressure of 632 torrs and a temperature of 45 celsius. The pressure has increased to 842 torrs. What is the new temperature of the gas

4 0

3 years ago

A researcher is interested in the lengths of brook trout, which are known to be approximately Normally distributed with mean 80

aliya0001 [1]

Answer:

$P(X$

And we can find this probability with the normal standard distirbution or excel and we got:

$P(z$

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

$X \sim N(80,5)$

Where $\mu=80$ and $\sigma=5$

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 with the normal standard distirbution or excel and we got:

$P(z$

6 0

3 years ago

Plz Help.......

lana66690 [7]

Answer:

For product A, the product is increasing, for the bigger the number you plug into x (due to the fact that the numbers become bigger because of the time: year 1, year 2, etc)

Product A is 82% change rate, while

product B is 983.45/4 = 245.8625, 1756.16/3 = 585.3867

Product B is 245.8625/585.3867

product B is 42% change rate

Product A change rate is higher than Product B by 40%

Step-by-step explanation:

Hope this helped! :)

6 0

3 years ago

Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k)left parenthesis, k, righ

EastWind [94]

Answer:

132 kilo meters

Step-by-step explanation:

Pro por tions:

9 lite rs ⇒ 99 km

12 lite rs ⇒ P km

P = 99*12/9

P = 132 km

8 0

3 years ago