Answer:The vertex in the graph is (-2,1) and It has a maximum value of 1 ,occurs at x=-2
Step-by-step explanation:
To find the vertex of a quadratic equation you gotta find the find middle point of the equation it could be lowest or his point in the quadratic equation
In this graph the vertex is the highest point in this graph (-2,1)
The quadratic equation is a maximum because the vertex is the highest point in the graph and if the vertex point was the lowest point it would been minimum.
Answer:
You need to stop relying on this website.
Step-by-step explanation:
Anytime you find a challenging problem you will automatically go to this website thus not gaining any intelligence.
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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The GCF of 72 is 60 is 12.