Angle ABC is an inscribed angle.
Inscribed angle = 1/2 * Intercepted Arc
The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204
m<ABC = 1/2(204)
m<ABC = 102 degrees
You answer is D) 102
Answer: 0.002718
Step-by-step explanation:
Given : The population mean annual salary for environmental compliance specialists is about $62,000.
i.e.
Sample size : n= 32

Let x be the random variable that represents the annual salary for environmental compliance specialists.
Using formula
, the z-value corresponds to x= 59000 will be :

Now, by using the standard normal z-table , the probability that the mean salary of the sample is less than $59,000 :-

Hence, the probability that the mean salary of the sample is less than $59,000= 0.002718
Answer:
for this one b=49.458
Step-by-step explanation:
Given:
The dotted boundary line passes through the points (-3,-8), (1,-2) and (9,10).
Above line is shaded.
To find:
The inequality for the given graph.
Solution:
Consider any two points on the line. Let the two points are (1,-2) and (9,10). So, the equation of the line is:





Multiply both sides by 2.




Above line is shaded and the boundary line is a dotted line. So, the sign of inequality must be >.

This inequality is not in the equations. So, multiply both sides by -1 and change the inequality sign.


Therefore, the correct option is D.