Answer:
A
Step-by-step explanation:
An exponential function has the form
y = a
Use the given solutions to find a and b
Using (0, 3 ) , then
3 = a [
= 1 ] , so
a = 3
y = 3
Using (1, 12 ) , then
12 = 3 = 3b ( divide both sides by 3 )
4 = b , then
h(x) = 3 → A
A town orchestra needs 3 new flute players and 4 new trumpet players. 8 flutists and 11 trumpeters try out, then the orchestra should select 3 flutists from 8 and 4 trumpeters form 11.
They can choose 3 flutists from 8 in
ways.
They can choose 4 flutists from 11 in
ways.
Use the product rule: 56·330=18480 ways for conductor to choose his new members.
Answer:
A. Your battery is likely defective since such poor performance is extremely unlikely.
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.
If X is more than two standard deviations from the mean, it is considered an unlikely outcome.
In this question, we have that:
Which of the following conclusions is the most appropriate given this information?
Lasted 400 hours, so X = 400.
4 standard deviations from the mean, so unlikely.
So the correct answer is:
A. Your battery is likely defective since such poor performance is extremely unlikely.