From your earlier questions, we found

so the wave has amplitude √29. The weight's maximum negative position from equilibrium is then -√29, so you are solving for <em>t</em> in the given interval for which

Divide both sides by √29:

Take the inverse sine of both sides, noting that we get two possible solution sets because we have

and the sine wave has period 2π, so
.

OR

where <em>n</em> is any integer.
Now solve for <em>t</em> :

OR

We get solutions between 0 and 0.5 when <em>n</em> = 0 of <em>t </em>≈ 0.196946 and <em>t</em> ≈ 0.363613.
Answer:
Graph y≤150−x (shading down)
Graph y≥120− 7/11x (shading up)
Step-by-step explanation:
Answer:
D. The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
Step-by-step explanation:
The treatment group using System A reported a mean of 18.5 lost bags per day. The treatment group using System B reported a mean of 16.6 lost bags per day.
The best conclusion that can be made is - The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
As we know, in statistics, nothing happens by chance. So, this option is correct.
Answer:
The number of words that Hugo wrote in the test of Wednesday (74) is at a distance of 1.4545 standard deviations (11) to the right of his mean (58)
Step-by-step explanation:
A normal random variable with mean Mu = 58 and standard deviation sd = 11 is standardized with the transformation (z-score):
Z = (X - Mu) / sd = (X - 58) / 11
For a value of 74 for X, Z = (74 - 58) / 11 = 1.4545 > 0.
The z-score when X = 74 is 1.4545 > 0
This means that the number of words that Hugo wrote in the test of Wednesday (74) is at a distance of 1.4545 standard deviations (11) to the right of his average (58)