9514 1404 393
Answer:
(a), (b), (c) are non-proportional
(d) is proportional
Step-by-step explanation:
An equation or graph with a non-zero y-intercept is non-proportional. That is true for (a), (b), (c).
The table of (d) is proportional, with a constant of proportionality of 6.5.
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<em>Comment on (c)</em>
In a proportional relation, price would go up with quantity, not down. If the prices both end in 9, one cannot be double the other, as would be required for the price of a gallon to be proportional to the price of a half-gallon.
Answer: C
Step-by-step explanation: The square root of 67 is 8.18
Using the <em>normal distribution and the central limit theorem</em>, we have that:
a) A normal model with mean 0.3 and standard deviation of 0.0458 should be used.
b) There is a 0.2327 = 23.27% probability that more than one third of this sample wear contacts.
<h3>Normal Probability Distribution</h3>
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 a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportion is approximately normal with mean
and standard deviation
, as long as
and
.
In this problem:
- 30% of students at a university wear contact lenses, hence p = 0.3.
- We randomly pick 100 students, hence n = 100.
Item a:


Hence a normal model is appropriated.
The mean and the standard deviation are given as follows:


Item b:
The probability is <u>1 subtracted by the p-value of Z when X = 1/3 = 0.3333</u>, hence:

By the Central Limit Theorem



has a p-value of 0.7673.
1 - 0.7673 = 0.2327.
0.2327 = 23.27% probability that more than one third of this sample wear contacts.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can take a look at brainly.com/question/24663213
2 thousands 9 tens and 18 ones in standard form is 2,108.
Step-by-step explanation:
3x+3² , you might want a second opinion I am no good at math but I tried to work it out to see if I would get it right so don't quote me on this and put it down for an answer get a second opinion please