A square has an area of 100 square meters. What is the perimeter of the square?
1 answer:
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For this case, the first thing to do is to model the rectangular sandbox as a rectangular prism.
The volume of the prism is given by:
Where,
- <em>w: width </em>
- <em>l: length </em>
- <em>h: height </em>
Therefore, replacing values we have:
We observed that:
Therefore, the sandbox is not completely filled.
Answer:
the sandbox will hold of sand
Jodi purchase is not enough sand to fill the sandbox to the top.
Answer:
0.7734; no, it does not.
Step-by-step explanation:
To find this probability we will use a z-score. We are dealing with the probability of a sample mean being larger than a given value; this means we use the formula
Our x-bar in this problem is 155, as that is the sample mean we are trying to find the probability of. Our mean, μ, is 161 and our standard deviation, σ, is 31. Our sample size, n, is 15. This gives us
Using a z table, we see that the area under the curve less than this, corresponding with probability less than this value, is 0.2266. This means that the probability of the sample mean being larger than this is
1-0.2266 = 0.7734, or 77.34%.
Since there is a 77.34% chance of the passengers having a mean weight that is too heavy, this elevator is not safe.