Please select the best answer from the choices provided .
1 answer:
Answer: B: (1-5x²)³, all real numbers
Step-by-step explanation:
The notation is called function composition, which is where you pass one function in as the value of another function. In other words,
.
Since we have the values for f(x) and g(x), let's plug them in.
Hence, the best answer choice is B, as all real numbers would work and it is the cube of 1 - 5x².
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Answer:
0.3085 = 30.85% probability that the next car will be traveling less than 59 miles per hour.
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:
Calculate the probability that the next car will be traveling less than 59 miles per hour.
This is the pvalue of Z when X = 59. So
has a pvalue of 0.3085
0.3085 = 30.85% probability that the next car will be traveling less than 59 miles per hour.