<h2>
Explanation:</h2><h2>
</h2>
Let's solve this problem graphically. Here we have the following equation:

So we can rewrite this as:

So the solution to the equation is the x-value at which the functions f and g intersect. In other words:

Using graphing calculator, we get that this value occurs at:

Answer: 0.0930
Step-by-step explanation:
As per given , we have
H0: μcoffee = 6
Ha: μcoffee < 6
She finds z = −1.68 with one-sided P-value P = 0.0465.
The P-value for two-tailed test is calculated by :

For z= -1.68 , we have

![=2(1-P(z\leq1.68))\ \ [\because\ P(Z>z)=1-P(Z\leq z)]](https://tex.z-dn.net/?f=%3D2%281-P%28z%5Cleq1.68%29%29%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%3Ez%29%3D1-P%28Z%5Cleq%20z%29%5D)
Hence, the correct two-sided P-value for z = −1.68 is 0.0930 .
4.) 5/3
Rise over run. Up five and over three. Up hill = be positive
<h2>B. 41</h2>
Step-by-step explanation:





