Answer:
Step-by-step explanation:
The value of the function f(x) at x=a can be determined by substituting a instead of x into the function expression.
1. When x=-1, then
f(-1)=2\cdot (-1)^3-3\cdot (-1)^2+7=-2-3+7=2.
2. When x=1, then
f(1)=2\cdot 1^3-3\cdot 1^2+7=2-3+7=6.
3. When x=2, then
f(-1)=2\cdot 2^3-3\cdot 2^2+7=16-12+7=11.
The correct answer is 7/9
I believe the answer they're looking for is 3, but it's hard to tell, because there's a negative sign before the box, and a polynomial cannot contain a negative exponent.
Ignoring that sign though, the answer should be 3 because Polynomials typically have a term with each degree up to the maximum of the polynomial.
In this polynomial, there is a term with degree 4, degree 2, and degree 0, but none for degree 3 or 1. Because of this, the only acceptable answer is 3.
Answer:

Step-by-step explanation:
Assuming a mean of $204 per night and a deviation of $55.
a. What is the probability that a hotel room costs $225 or more per night (to 4 decimals)?
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".
Let X the random variable that represent the cost per night at the hotel, and for this case we know the distribution for X is given by:
Where
and 
And let
represent the sample mean, the distribution for the sample mean is given by:

We are interested on this probability

And the best way to solve this problem is using the normal standard distribution and the z score given by:

If we apply this formula to our probability we got this:


And we can find this probability on this way:

Answer:

Step-by-step explanation:
Given
The question is illustrated with the attached image
Required
Find 
To do this, we use sine formula
i.e.

So, we have:


Take arc sin

