Solving equations: (a) 5x - 9 = 3x + 3 (b) x + 6 = 34 - x
2 answers:
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Answer:
38.76% probability that between 13 and 17 of these young adults lived with their parents
Step-by-step explanation:
I am going to use the normal approxiation to the binomial 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 probability that between 13 and 17 of these young adults lived with their parents?
Using continuity correction, this is , which is the pvalue of Z when X = 17.5 subtracted by the pvalue of Z when X = 12.5. So
X = 17.5
has a pvalue of 0.4761
X = 12.5
has a pvalue of 0.0885
0.4761 - 0.0885 = 0.3876
38.76% probability that between 13 and 17 of these young adults lived with their parents
Answer:
<h2> 93ft </h2>Step-by-step explanation:
Kindly find a simple sketch of a baseball pitch, the circle with a dot inside represents the first base coach(don't mind my drawing please I will improve).
So, from the diagram, we can see that the expression that describes the distance and the first base coach is
y=90+3
y=93
so the distance between Roberto Clemente and the first base coach is 93ft
