Which Roman numeral is equivalent to the number below?
1 answer:
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Using the normal distribution, it is found that the correct option is:
- P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem:
- Mean of 20 ounces, hence
.
- Standard deviation of 2.3 ounces, hence
P(Y < 16) is the <u>p-value of Z when X = 16</u>, hence:
has a p-value of 0.041.
This is valid for the entire population, hence, the correct interpretation is:
- P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces
A similar problem is given at brainly.com/question/24663213
Answer:
See Below.
Step-by-step explanation:
We have the equation:
And we want to show that:
Instead of differentiating directly, we can first square both sides:
We can find the first derivative through implicit differentiation:
Hence:
And we can find the second derivative by using the quotient rule:
Substitute:
Simplify:
Combine fractions:
Simplify:
Simplify:
Q.E.D.