Answer:
Angle ADC = 80 degrees
Step-by-step explanation:
Here, we want to find the measure of angle ADC
mathematically, sum of angles at a point is 360
Thus;
x + 3x + x + 10 = 360
5x + 10 = 360
5x = 360-10
5x = 350
x = 350/5
x = 70
From the diagram;
angle ADC is (x + 10)
so we have; (70 + 10) = 80 degrees
Answer:
The objective of the confidence interval is to give a range in which the real mean of the population is placed, with a degree of confidence given by the level of significance.
The conclusion we can make is that there is 95% of probability that the mean of the population (professor's average salary) is within $99,881 and $171,172.
Step-by-step explanation:
This is a case in which, from a sample os size n=16, a confidence interval is constructed.
The objective of the confidence interval is to give a range in which the real mean of the population is placed, with a degree of confidence given by the level of significance. In this case, the probability that the real mean is within the interval is 95%.
Answer:
There will be 1 solution to the system of equations.
Step-by-step explanation:
y = 6x - 7
y = 53x + 13
Since the two equations have different slopes and different y-intercepts, there will be 1 solution to the system of equations.
tadah!
Just invert it like:

There you have your common denominator! Don't forget to multiply the numerator as well.