Answer:
x = 120
Step-by-step explanation:
Assuming you require to find the value of x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
140 + 150 + 90 + x + 130 + 90 = 720 , that is
x + 600 = 720 ( subtract 600 from both sides )
x = 120
Step-by-step explanation:

Answer:
18.14% probability that you would get at least 12 questions correct.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

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:

What is the probability that you would get at least 12 questions correct?
This is 1 subtracted by the pvalue of Z when X = 12. So



has a pvalue of 0.8186.
So there is a 1-0.8186 = 0.1814 = 18.14% probability that you would get at least 12 questions correct.
Answer:A
Step-by-step explanation: