Exactly half of these integers are odd (1, 3, 5, ..., 29) so the probability of selecting an odd number is

.
Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it.
The confidence interval can be calculated using following formula:

Where

is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:

The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
Step-by-step explanation:
f(x)=3x−2 so when the variable x is replace with an actual value ( − 1 ) we get f(−1)=3(−1)−2
=−3−2
=−5
The function in vertex form is

(refer to your other post I solved it there).
The general form of quadratic equations in vertex form is

, where (h, k) is the vertex of the parabola.
Here, a = 1, h = -6 and k = -54
Therefore, the vertex is (-6, -54) and it is a maximum because a = 1 is postive.
T=16x+96 so if he wants to receive 130$ a day he must work at least 3 hours of over time.