Ruby read 0.85. Of a book what fraction of the book does ruby have left to read? Write in simplest fom
1 answer:
You might be interested in
Answer:
89.44% probability that less than 80% of the sample would report eating healthily the previous day
Step-by-step explanation:
We use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
So
What is the approximate probability that less than 80% of the sample would report eating healthily the previous day?
This is the pvalue of Z when . So
has a pvalue of 0.8944
89.44% probability that less than 80% of the sample would report eating healthily the previous day
The <em>missing</em> end of the <em>line</em> segment whose midpoint is M(x, y) = (5, 3) and known endpoint is G(x, y) = (1, -5) is the point H(x, y) = (9, 11).
<h3>How to locate the missing end of a line segment</h3>
In this question we know an end and a midpoint of a <em>line</em> segment. The <em>missing</em> end can be found from the following formula:
M(x, y) = G(x, y) + 0.5 · [H(x, y) - G(x, y)]
M(x, y) = 0.5 · G(x, y) + 0.5 · H(x, y)
0.5 · H(x, y) = M(x, y) - 0.5 · G(x, y)
H(x, y) = 2 · M(x, y) - G(x, y) (1)
If we know that M(x, y) = (5, 3) and G(x, y) = (1, -5), then the coordinates of the point H are:
H(x, y) = 2 · (5, 3) - (1, -5)
H(x, y) = (10, 6) - (1, -5)
H(x, y) = (9, 11)
The <em>missing</em> end of the <em>line</em> segment whose midpoint is M(x, y) = (5, 3) and known endpoint is G(x, y) = (1, -5) is the point H(x, y) = (9, 11).
To learn more on line segments: brainly.com/question/25727583
#SPJ1