Answer:
the answer is D. all real numbers greater than or equal to 2.
Step-by-step explanation:
looking at the graph, half of a parabola is curved upwards, and will never stop going up. looking at (1, 2), the dot (instead of circle) indicates the range is greater than or equal to itself, which is 2.
<u>Answer</u>
59°
<u>Explanation</u>
There are 2 parallel line and one transverse.
Angles in a straight line add up to 180°
∴ 180 - (2a + 3) = 180 - 2a -3
= 177 - 2a
The angle (177 - 2a) corresponds to angle a in the diagram. The two corresponding angles are equal.
∴ 177 - 2a = a
177 = a + 2a
3a = 177
a = 177/3
= 59°
For any exponential function, f(x) = abx, the range is the set of real numbers above or below the horizontal asymptote, y = d, but does not include d, the value of the asymptote.
Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.
3,510
913=117
11730=3,510
3,510
Answer:
a) 
With:
b) 
c) 
d) 
Step-by-step explanation:
For this case we know the following propoertis for the random variable X
We select a sample size of n = 81
Part a
Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:
With:
Part b
We want this probability:
We can use the z score formula given by:
And if we find the z score for 89 we got:
Part c
We can use the z score formula given by:
And if we find the z score for 75.65 we got:
Part d
We want this probability:
We find the z scores:
