<span>Simplifying
17x2 + -12x = 0
Reorder the terms:
-12x + 17x2 = 0
Solving
-12x + 17x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + 17x) = 0
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Answer:
10/40 or a 1 in 4 chance he will grab a red marble
Step-by-step explanation:
You add up all of the marbles;
10+15+15
40
Now you take the number of red marbles are divide it by 40;
10/40
That is your answer.
Using the <u>normal approximation to the binomial</u>, it is found that there is a 0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
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.
- The binomial distribution is the probability of <u>x successes on n trials</u>, with <u>p probability</u> of a success on each trial. It can be approximated to the normal distribution with .
In this problem:
- 15% do not show up, so 100 - 15 = 85% show up, which means that .
- 300 tickets are sold, hence .
The mean and the standard deviation are given by:
The probability that we will have enough seats for everyone who shows up is the probability of at most <u>270 people showing up</u>, which, using continuity correction, is , which is the <u>p-value of Z when X = 270.5</u>.
has a p-value of 0.994.
0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
A similar problem is given at brainly.com/question/24261244
A) The empirical rule tells you the probability of being within 1 standard deviation of the mean is 68%.
b) The probability that the sample mean falls within 3 standard deviations* of the mean is 99.7%.
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* The standard deviation of the sample mean is 1/√9 = 1/3 of the standard deviation of an individual sample. Hence the same limits (90-110) now cover 3 standard deviations of the sample mean.