The raised price represents 110% of the original price (100% plus the extra 10%)
A percentage is converted into a decimal multiplier by dividing by 100:
![\frac{110}{100} = 1.10](https://tex.z-dn.net/?f=%20%5Cfrac%7B110%7D%7B100%7D%20%20%3D%201.10)
To clarify the final stage, consider this (where
![n](https://tex.z-dn.net/?f=n)
is the original price):
![n * 1.10 = 192.50](https://tex.z-dn.net/?f=n%20%2A%201.10%20%3D%20192.50)
![1.10n = 192.50](https://tex.z-dn.net/?f=1.10n%20%3D%20192.50)
From here, basic algebraic rules make solving for
![n](https://tex.z-dn.net/?f=n)
easy:
![n = \frac{192.50}{1.10} = 175](https://tex.z-dn.net/?f=n%20%3D%20%20%5Cfrac%7B192.50%7D%7B1.10%7D%20%3D%20175)
Therefore the original price of a ticket was $175
Answer:
0.842
Step-by-step explanation:
Give that:
Probability that statistics book will weigh at most x lbs ; this can be expressed as ;
P(x ≤ x)
Hence,
P(Z ≤ x) = 0.8
Hence, the Z score associated with a probability of P(Z ≤ x) = 0.8 can be obtained using a Z probability calculator :
Hence, Zscore = 0.842
Hence, the standardized score the weight is 0.842
The function which represents the reflection of provided function across the x-axis is,
![g(x) = -5(0. 8)x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-5%280.%208%29x)
<h3>What is reflection of function?</h3>
The reflection of a function is flipping the original function with respect to a reference line.
The following steps used to for reflecting a the function-
- Select the function which has to be reflected.
- Select a baseline or reference line over which the function has to be reflected.
- Mark the corners of the function at the equidistant from the reference line as the original function has, but in the opposite direction.
- The reflected function is now is facing the opposite direction.
The function given in the problem is,
![f(x) = 5(0. 8)x](https://tex.z-dn.net/?f=f%28x%29%20%3D%205%280.%208%29x)
The function has the positive sign. Therefore, this function is located in the first quadrant.Now this function is reflected across the x-axis. This will lead this function in the fourth quadrant, with negative sign.
Therefore, the function become,
![g(x) = -5(0. 8)x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-5%280.%208%29x)
Hence, the function which represents the reflection of provided function across the x-axis is,
![g(x) = -5(0. 8)x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-5%280.%208%29x)
Learn more about the reflection here;
brainly.com/question/1908648
We know that the balloon ascends at the same constant rate, that means that after the penny drop is:
![h_b(t)=10t+500](https://tex.z-dn.net/?f=h_b%28t%29%3D10t%2B500)
this comes from the fact that the initial height is 500 ft and that for each second the balloon ascends 10 feet.
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