The equation of a circle is (x - a)² + (y - b)² = r², where the coordinates of the center(C) are C(a,b) and "r" the radius. Here, C(4,2) and if you need, r=3.
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Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
Normal Probability Distribution
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.
- By the Central Limit Theorem, for n instances of a normal variable, the mean is
while the standard deviation is 
.
In this problem:
- Mean of 4 candies, hence
. - Standard deviation of 1.5 candies, hence
. - She visited 35 houses, hence
The probability is the <u>p-value of Z when X = 122</u>, hence:
By the Central Limit Theorem
has a p-value of 0.
Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
A similar problem is given at brainly.com/question/24663213
"0.3p = p _ 250" is the one equation among the following choices given in the question that models the situation given in the question. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that you were looking for and the answer has actually come to your help.
There is a good evidence that freshmen have a better than 32% chance of getting the course if they ask for it.
The null hypothesis is that freshmen do not have a better than 32% chance of getting the course if they ask for it.
The alternative hypothesis is freshmen have a better than 32% chance of getting the course if they ask for it.
<h3>What are the chance that a freshman would get the course?</h3>
The chance of getting the course = number of freshmen who got the course / total number of freshmen
73 / 200 = 36.50%
<h3>What are the null and alternative hypothesis?</h3>
The null hypothesis states that there is no relationship between the population parameters. It is known as the true hypothesis. In the question, the population parameters are freshmen and getting the course
The alternative hypothesis states that there is a relationship between the population parameters.
To learn more about the null hypothesis, please check: brainly.com/question/4454077
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Answer:
Step-by-step explanation:
Given triangles are similar, so we setup a proportion
(140-x)/81 = x/9
solving gives x = 14
AC = 140-x = 140-14 = 126
