Answer:
-1.52380952381
Step-by-step explanation:
Answer:
Step-by-step explanation:
The possible outcomes include 1, 2, 3, etc., up through 25. This in itself is insufficient to specify who will go first. There must be some further criteria.
Suppose each player chooses and announces a number from this set by writing it down on a scrap of paper which is placed face-down on the table. The person who chooses the smaller number goes first. Or, the person who chooses the larger number goes first.
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
Answer:
y = 8x -25
Step-by-step explanation:
The two-point form of the equation of a line can be used.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (7-(-1))/(4-3)(x -3) +(-1)
y = 8(x -3) -1
y = 8x -25 . . . . slope-intercept form of the equation
_____
We don't know what you're starting with, so we don't know how to "complete the equation." Perhaps the above equation is sufficient for the task.
There are 16 ounces in one pound. So we do 7 divided by 16 to get our answer.
7 / 16 = 0.4375 ≈ 0.4 lbs
7 oz is approximately 0.4 lbs.