Answer:
-3, -1, 1, 7
Step-by-step explanation:
took the test. Now i have to retake it ;(
Answer:
Step-by-step explanation:
Begin by squaring both sides to get rid of the radical. Doing that gives you:
Now use the Pythagorean identity that says
and make the replacement:
. Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:
and then simplify to
Factor out the common cos(x) to get
and there you have your 2 trig equations:
cos(x) = 0 and 1 - cos(x) = 0
The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at
The second equation simplifies to
cos(x) = 1
Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.
So, in the end, your 3 solutions are
Answer:
Option C
Step-by-step explanation:
Point diagrams show the frequency of occurrence of a series of events after a certain number of trials. In this case, the trials were 100. During each trial it would have been possible to have proportions of {0.24, 0.25, 0.26, 0.27, 0.28 ..... 0.56}
The events with the highest probability of occurrence are those with the highest number of points in the diagram.
Note that the distribution of the points resembles a bell, with a peak (greater clustering of points) between 0.35 and 0.41.
This indicates that it is more likely that the proportion of employees who go to work in bicycles will be between 0.35 and 0.41.
Then the diagram seems to indicate that a proportion less than 0.30 or greater than 0.45 is unlikely (they have less number of points)
Based on this analysis, it can be concluded that the correct option is c)
c) It is plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is unlikely.
I don't know if this is right for sure but I think that it's 81.25%.
Answer Ben plays video games for 1 1/2 hours per day for the 3 days
Step-by-step explanation:
He has (10 - 5 1/2) hours or 4 1/2 hours left to split evenly over the next 3 days.
Let D = #hours per day Ben plays, then
3D = 4 1/2
3D = 4.5
D = 4.5/3
D = 1.5
