Solve the inequality: –3(x + 2) > 4x + 5(x – 7)
1 answer:
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Answer:
The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.
The expected numbers of voters who would vote for Brown is 3604.
Step-by-step explanation:
The sample statistic is a numerical quantity used to represent a characteristic of a sample. For example, sample mean is a sample statistic representing the average of the sample. Or, sample proportion is a sample statistic representing the proportion of a particular variable in the sample. Or sample variance is a sample statistic representing the variance of the sample.
The sample statistic can be used to estimate the population parameter.
They are known as the point estimate of the parameter.
The sample proportion of a variable <em>X</em> is given by:
It is provided that of the <em>n</em> = 250 registered voters selected, the number of voters who said they would vote for Brown is <em>X </em>= 77.
Compute the sample statistic for the proportion of voters surveyed who said they'd vote for Brown as follows:
Thus, the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.
Compute the expected number of people of the 11700 registered voters who would vote for Brown as follows:
Thus, the expected numbers of voters who would vote for Brown is 3604.
Answer:
10.03% probability of getting a cup weighing more than 8.64oz
Step-by-step explanation:
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.
In this question, we have that:
What is the probability of getting a cup weighing more than 8.64oz
This is the 1 subtracted by the pvalue of Z when X = 8.64. So
has a pvalue of 0.8997
1 - 0.8997 = 0.1003
10.03% probability of getting a cup weighing more than 8.64oz