How many 2 3 -quart portions are in 7 1 2 quarts of soup?
2 answers:
Answer:
Step-by-step explanation:
Given
quarts
quarts
Required
Determine the number of portions in the soup
<em>The question illustrates division of fractions and to solve this question, we simply divide the size of the soup by the size of the given portion</em>
<em />
<em /><em />
<em>Substitute values for Soup and Portion</em>
<em /><em />
<em /><em />
<em />
Convert mixed fraction to improper fraction
<em /><em />
<em>Hence, there are </em><em> of </em>
<em> quarts in </em>
<em> quarts of soup</em>
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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
Answer:
p=0.05882
Step-by-step explanation:
Probability is the likelihood of an event occurring.
-A standard deck of cards has 4 kings.
#After one card is removed, 51 remains of which 3 are kings:
Hence, the probability that the second card is king is 0.05882