What is 25% of 24? What is 15% of 60? 9 is what percent of 72
1 answer:
Answer:
6
9
6.48
Step-by-step explanation:
this is the easiest way to solve for percentage:
Where all the percents (except 100) would go in part
and the whole number would go in whole
Then multiply 24 × 25 ÷ 100 = 6
Multiply 60 by 25 then divided by 100 = 9
Then for the last one 9 is what percent of 72
all we have to do is multiply 9 and then convert 72 into a decimal (0.72)
Then 9 × 0.72 = 6.48
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Answer:
100% probability that the sample mean scores will be between 87 and 124 points
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 \mu and standard deviation, which is also called standard error
In this problem, we have that:
What is the probability that the sample mean scores will be between 87 and 124 points
This is the pvalue of Z when X = 124 subtracted by the pvalue of Z when X = 87. So
X = 124
By the Central Limit Theorem
has a pvalue of 1
X = 87
has a pvalue of 0
1 - 0 = 1
100% probability that the sample mean scores will be between 87 and 124 points