Answer:
11.70% probability someone will spend no more than 30 minutes reading online national news reports.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
![\mu = 49, \sigma = 16](https://tex.z-dn.net/?f=%5Cmu%20%3D%2049%2C%20%5Csigma%20%3D%2016)
What is the probability someone will spend no more than 30 minutes reading online national news reports?
This is at most 30 minutes, so 30 or less minutes. This is the pvalue of Z when X = 30.
So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{30 - 49}{16}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B30%20-%2049%7D%7B16%7D)
![Z = -1.19](https://tex.z-dn.net/?f=Z%20%3D%20-1.19)
has a pvalue of 0.1170.
So there is a 11.70% probability someone will spend no more than 30 minutes reading online national news reports.
An equation for the opposite of 2
The final answers would be x=-5 x=9
Answer:
135°
Step-by-step explanation:
we are given that the bottom leftmost angle is 50, so its opposite angle is 50 since opposite angles are always congruent.
the angle opposite 100 degrees is 100, the last angle in the left triangle is 30 since 180 - 100 - 50 = 30. (all angles in a triangle equal 180)
the angle to the right of the 70 is 80, since a line is a flat angle = 180 and
180-30-70 = 80
the angle opposite 55 is 55
the question mark would be 55+80=135, since the outside angle of a triangle is equivalent to the sum of the farthest 2 inside angles.
Answer:
B
Step-by-step explanation: