An elevator in a tall building goes up 7 floors, then
1 answer:
You might be interested in
Answer:
1. Tracie's bus travels towards her home at an average speed of miles per minute.
Step-by-step explanation:
From the graph, we see that,
X-axis represents the time (in minutes) and the Y-axis represents the distance from home (in miles).
Also, the graph of the function is decreasing by 1 miles for every 2 minutes.
That is, the distance from home is decreasing as the time increases.
That is, the bus is getting closer to the home.
Further, as the distance is decreasing by 1 mile for every 2 minutes.
Thus, the rate of decrease is miles per minute.
As we know,
<em>So, the slope represents the speed of the bus travelling towards home.</em>
That is, 'Tracie's bus travels towards her home at an average speed of miles per minute'.
Answer:
0% probability that at least 1,500 will agree to respond
Step-by-step explanation:
I am going to use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be solved using 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.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
So
What is the probability that at least 1,500 will agree to respond
This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So
has a pvalue of 1.
1 - 1 = 0
0% probability that at least 1,500 will agree to respond