Eunice has a soccer game at 7:00 P.M. She needs to be there 20 minutes early to warm up for the game, and it takes her 45 minute
1 answer:
You might be interested in
Answer:
- <u>Option B. 59%</u>
Explanation:
The function that represents the number of E.coli bacteria cells per 100 mL of water as the time t years elapses is:
The base, 1.123, represents the multiplicative constant rate of change of the function, so you just must substitute 1 for t in the power part of the function:
Then, the multiplicative rate of change is 1.590, which means that every year the number of E.coli bacteria cells per 100 mL of water increases by a factor of 1.590, and that is 1.59 - 1 = 0.590 or 59% increase.
Answer:
18.67% probability that the sample proportion does not exceed 0.1
Step-by-step explanation:
Problems of normally distributed samples are 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.
For the sampling distribution of a sample proportion, we have that
In this problem, we have that:
What is the probability that the sample proportion does not exceed 0.1
This is the pvalue of Z when X = 0.1. So
has a pvalue of 0.1867
18.67% probability that the sample proportion does not exceed 0.1