Brittany had already read 13 books this year before joining a book club, and she plans to read 4 books every month now that she
1 answer:
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Answer:
2/3
Step-by-step explanation:
Subtract 2 2/3 from 3 1/3 to determine how much flour she'll have left over.
2/3 of flour is left over after making one batch of brownies.
Answer:
The quadratic equation has one real root with a multiplicity of 2.
Step-by-step explanation:
Given a quadratic equation:
You can find the Discriminant with this formula:
<em> </em>In this case you have the following quadratic equation:
Where:
Therefore, when you substitute these values into the formula, you get that the discriminant is this:
Since , the quadratic equation has one real root with a multiplicity of 2 .
Answer:
67.30% probability that the mean weight will be between 16.6 and 22.6 lb
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples are 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
Central limit theorem:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
If 4 fish are randomly selected, what is the probability that the mean weight will be between 16.6 and 22.6 lb
This is the pvalue of Z when X = 22.6 subtracted by the pvalue of Z when X = 16.6.
X = 22.6
By the Central Limit Theorem
has a pvalue of 0.8849
X = 16.6
has a pvalue of 0.2119
0.8849 - 0.2119 = 0.6730
67.30% probability that the mean weight will be between 16.6 and 22.6 lb