Less than 1 cup because 48 divided by 7 equals 6.85
The answer is -8/15 because you need to cancel out the variables first
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 .
Answer:
110 students
Step-by-step explanation:
The number of students who have only taken calculus is given by the number of students who have taken calculus minus the students who have taken both classes:

The number of students who have only taken discrete mathematics given by the number of students who have taken discrete mathematics minus the students who have taken both classes:

The number of students that have taken a course in either calculus or discrete mathematics is:

Step-by-step explanation:
To find the y-coordinate points we need to evaluate the function for all the
values in the table. In other words, we need to replace
with each value in our given function and simplify.
- For x = 0





Since
and
, our first point is (0, -1)
- For x = 1





Our second point is (1, -4)
- For x = 2




Our third point is (2, -5)
- For x = 3





Our fourth point is (3, -4)
- For x = 4





Our fifth point is (4, -1)
Now we just need to plot each point in our coordinate plane and join them with the parabola as you can see in the attached picture.