What is another way to write this number? 300 plus 70 plus 5/10 plus 8/100
2 answers:
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Answer:
19.49% probability that no more than 16 of them are strikes
Step-by-step explanation:
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 no more than 16 of them are strikes?
Using continuity correction, this is , which is the pvalue of Z when X = 16.5. So
has a pvalue of 0.1949
19.49% probability that no more than 16 of them are strikes
Answer:
angle 1=°
Step-by-step explanation:
to find the angle of 1 you should know angle 2, what is angle 2?
angle ° and angle
are symetrical so they have the same value.
now that we know that angle 2 is equal to °
then what is angle 1
if the whole line has an angle of ° and angle
°.
so the equation will be :
flip the equation to find :
the angle 1 which we found in the given equation is 135
check if my answer is correct is :
my equation is correct