Mu = mean = 25
sigma = standard deviation = 5.5
Compute the z score for x = 19.5
z = (x-mu)/sigma
z = (x-25)/5.5
z = (19.5-25)/5.5
z = -1
Compute the z score for x = 30.5
z = (x-mu)/sigma
z = (x-25)/5.5
z = (30.5-25)/5.5
z = 1
Therefore, P(19.5 < X < 30.5) is the same as P(-1 < Z < 1) which asks "what is the area under the standard normal curve from z = -1 to z = 1?"
By the Empirical Rule, roughly 68% of the normal distribution is between z = -1 and z = 1. In other words, 68% of the normally distributed population is within one standard deviation. The z-scores help keep track how far you are in terms of standard deviations.
Final Answer: Choice B) 68%
19/57 in simplest form is 1/3 and is 0.333 in decimal form
Answer:
I added the picture as an attached file below
Step-by-step explanation:
Hope it helps:)
Answer:
Step-by-step explanation:
5 is 16 more then 5 times a number
let the number be x
5 = 5x + 16
ANSWER
Option C is correct.
EXPLANATION
The given function is
![y = \sqrt[3]{x - 1} + 3](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20-%201%7D%20%20%2B%203)
The base function is
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
The given function has the same domain as its base function which is all real numbers.
Any real number you plug into this function is defined.
Since the function has no restriction, the domain is all real numbers.
