What is the vertex of the parabola? Assume p > 0.
1 answer:
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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.
Answer:
The approximate population of the small town after 10 years is 6,413
Step-by-step explanation:
Here we note that the general growth formula is given by;
For decreasing rate, we have;
Where:
A = Population after growth
P = Initial population = 13250
r = The annual reduction rate in decimals = 7 % = 7/100 = 0.07
t = Number of years of decrease= 10 years
Since the population is decreasing, then by plugging in our values into the above equation for decreasing rate, we have
= 6.412.766 ≈ 6,413
The approximate population of the small town after 10 years = 6,413