Answer: Hi!
So first, I'm going to convert "350 below ground level" to -350, as this is what "below ground level" represents.
Now, we should find the total distance traveled. Take the absolute value of -350 (350) and add it to 10, the metres above ground level. This is 360.
We already know the rate of travel; 6m/min. All we have to do now is divide the total distance (360) by the rate of travel (6)!
360 ÷ 6 = 60
So, it took 60 minutes, or one hour, for the elevator to travel down the shaft!
Hope this helps!
The answer to question 3 is D. 15(4a+3). And the answer to question 4 is A. 90. Have a great day
Answer:
0.3182 = 32.81% probability that a randomly selected acre has between 32647 and 43559 ants.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

Find the probability that a randomly selectd acre has between 32647 and 43559 ants.
This is the pvalue of Z when X = 43559 subtracted by the pvalue of Z when X = 32647. So
X = 43559:



has a pvalue of 0.5517.
X = 32647:



has a pvalue of 0.2236
0.5517 - 0.2236 = 0.3281
0.3182 = 32.81% probability that a randomly selected acre has between 32647 and 43559 ants.