[PLEASE ANSWER ASAP] The entrance fee to a circus for a child is RM(3x-y). The entrance fee for an adult is RM2y more than the e
1 answer:
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<u>Answer:</u>
Third graph
<u>Step-by-step explanation:</u>
We are determine whether which of the given graphs is that of the linear inequality .
We know that, on the graph the greater than sign () represents the shaded part above the line and less than sign (
) represents the shaded region below the line.
While the signs or
is denoted by a solid line on the graph.
Therefore, the third graph represents the given inequality.
Answer:
91.92% probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches
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 sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches?
This is the pvalue of Z when X = 111.8. So
By the Central Limit Theorem
has a pvalue of 0.9192
91.92% probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches