25 grams per day that is the recommended daily intake of fiber
Using the normal distribution, there is a 0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean
and standard deviation
, as long as
and
.
The proportion estimate and the sample size are given as follows:
p = 0.45, n = 437.
Hence the mean and the standard error are:
The probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3% is <u>2 multiplied by the p-value of Z when X = 0.45 - 0.03 = 0.42</u>.
Hence:

By the Central Limit Theorem:

Z = (0.42 - 0.45)/0.0238
Z = -1.26
Z = -1.26 has a p-value of 0.1038.
2 x 0.1038 = 0.2076.
0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.
More can be learned about the normal distribution at brainly.com/question/28159597
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Answer:
The number of fishes person b initially has is 0
The number of fishes person a initially has is x, where x is any natural number
Step-by-step explanation:
The given parameters are;
let x represent the number of fish person a catches and let y represent the number of fishes that person b catches, we have;
x - x/2 = y + x/2
2·x - x = 2·y + x
2·x = 2·y + 2·x
∴ y = 0
Therefore;
The number of fishes person b initially has = 0
The number of fishes person a initially has = x, where x is any natural number.
You have to find out what X is which you need to do -2 - (-11) and then do -9 - (-11) after that do you-2 x -2 and get -4
Answer:
a) 
b) When t = 10, Q = 7.845.
Step-by-step explanation:
The value of a quantity after t years is given by the following formula:

In which
is the initial quantity and r is the rate that it changes. If it increases, r is positive. If it decreases, r is negative.
a) Write a formula for Q as a function of t.
The initial value of a quantity Q (at year t = 0) is 112.8.
This means that
.
The quantity is decreasing by 23.4% per year.
This means that 
So


b) What is the value of Q when t = 10?
This is Q(10).


When t = 10, Q = 7.845.