Sebastian combines 8.15 ounces of strawberries with 6.26 ounces of blueberries to make fruit bowls. He pours the fruit equally i
2 answers:
Answer:
4.56 ounces
Step-by-step explanation:
Amount of Strawberries (S) = 8.15 ounces
Amount of blue berries (B) = 6.26 ounces
Total quantity = B+S = 8.15 + 6.26 = 14.41 ounces
This mixture is poured equally in 3 cups and then them 0.73 ounces of fruit are left over.
Lets assume amount of fruit in each bowl = x ounce
Thus,
Around 4.56 ounces of fruit are in each bowl.
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Answer:
36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.
Step-by-step explanation:
I am going to use the normal approximation 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
Estimate the probability that at least 47 people experience flu symptoms.
Using continuity correction, this is , which is 1 subtracted by the pvalue of Z when X = 46.5.
has a 0.6368
1 - 0.6368 = 0.3632
36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.
If you are trying to get the answer to
Your answer would be a mixed number.
<span>4</span>
Your answer would be a mixed number.
<span>4</span>