Answer: C, 20%
Hope this helps
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:
c. 412.5 cm^2
Step-by-step explanation:
first triangle: 5 x 15 = 75
75/2 = 37.5
rectangle: 15 x 19 = 285
triangle 2: 15 x 12 = 180
180/2 = 90
37.5 + 285 + 90 = 412.5
Answer:
x ≈ 18.7
Step-by-step explanation:
This is a big equation, so let's break it down a bit.
![\frac{3}{2} \sqrt[4]{(2(x-6) ^3 )} +4=16](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%5Csqrt%5B4%5D%7B%282%28x-6%29%20%5E3%20%29%7D%20%2B4%3D16)
Let's start by isolating the radical which is x.
So subtract 4 from both sides :
![\frac{3}{2} \sqrt[4]{(2(x-6) ^3)}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%5Csqrt%5B4%5D%7B%282%28x-6%29%20%5E3%29%7D)

Now multiply both sides by 2 to get rid of the fraction :
![3\sqrt[4]{(2(x-6)^3)} = 24](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B%282%28x-6%29%5E3%29%7D%20%3D%2024)
Now divide both sides by 3 to get rid of the number out of the poly root :
![\sqrt[4]{2(x-6) ^3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2%28x-6%29%20%5E3%7D)

Now take both sides of the equation to the power of 4 :

And lastly, solve :
which is rounded up to
≈ 
Answer:
a=−2
Step-by-step explanation:
Let's solve your equation step-by-step.
3a−6=−12
Step 1: Add 6 to both sides.
3a−6+6=−12+6
3a=−6
Step 2: Divide both sides by 3.
3a
/3
=
−6
/3
a=−2