In a right triangle, the hypotenuse is 12 cm and one leg is 7 cm. What is the length of the other leg? A. 11.7 cm B. C. 12.7 cm
1 answer:
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Answer:
C. -3(√y)(∛x²)
Step-by-step explanation:
Recall the rule for exponents with fractions. The numerator represents the power the variable is raised by, and the denominator represents the which root will be taken.
y^1/2 equals √y
and x^2/3 equals ∛x²
So the answer is -3(√y)(∛x²)
Look at the attached image for more clarification
Answer:
11.51% probability that the sample average will be less than 182
Step-by-step explanation:
To solve this question, we have 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 random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the probability that the sample average will be less than 182
This is the pvalue of Z when X = 182. So
By the Central Limit Theorem
has a pvalue of 0.1151
11.51% probability that the sample average will be less than 182