Im kind of struggling with this would anyone mind giving me a brief explanation? Id greatly appreciate it :)

Find the absolute maximum and minimum values of f(x.y)=x^2+y^2-2x-2y on the closed region bounded by the triangle with vertices

dem82 [27]

Try this suggested solution, note, 'D' means the region bounded by the triangle according to the condition. It consists of 6 steps.

Answers are underlined with red colour.

6 0

3 years ago

Calculate the finance charge and new balance using the previous balance method. Previous balance = $179.32 Annual rate = 16% Fin

garik1379 [7]

Annual Rate = 16% = 16/100 = 0.16
Monthly Rate = (annual rate)/12
Monthly Rate = (0.16)/12
Monthly Rate = 0.01333 ... this is approximate

Finance Charge = (Monthly Rate)*(Previous Balance)
Finance Charge = (0.01333)*(179.32)
Finance Charge = 2.3903356
Finance Charge = 2.39

The purchases and payments do not factor in the finance charge since they are made during this current billing cycle. The previous balance method only looks at the balance at the end of the previous cycle.

Once the finance charge is calculated, we add on the new purchases and the finance charge to the old balance. We also subtract off the payments/credits. Doing all this calculates the new balance for this billing cycle.

New Balance = (Old balance) + (Purchases) + (Finance Charge) - (Payment)
New Balance = 179.32 + 117.42 + 2.39 - 85
New Balance = 214.13

In summary,
Finance Charge = $2.39
New Balance = $214.13

5 0

3 years ago

Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a

shepuryov [24]

Answer:

a) $P(X$

And we can find this probability using the normal standard table or excel:

$P(z$

b) $P(X>77)=P(\frac{X-\mu}{\sigma}>\frac{77-\mu}{\sigma})=P(Z>\frac{77-75}{10})=P(z>0.2)$

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

$P(z>0.2)=1-P(Z$

c) $z = \frac{70-75}{\frac{10}{\sqrt{16}}}= -2$

$z = \frac{80-75}{\frac{10}{\sqrt{16}}}= 2$

And we can find this probability with this difference:

$P(-2$

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

$X \sim N(75,10)$