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The probability that the proportion of patients who wait less than 30 minutes is 0.582 or less is 0.0020
<h3>What is probability? </h3>
Probability can be defined as the likelihood of an event to occur. In statistics, the mean of the sample distribution typically shows the probability of the population.
From the parameters given:
- The sample size (n) = 55 patients
- Let's assume that the mean (x) = 32 (i.e. 58.2%) of the patients
The sample proportion
can be computed by using the expression:



If the percentage of the probability of all patients in the emergency room = 0.75
The probability that the proportion of patients who wait less than 30 minutes is 0.582 or less can be computed as:



From the Z distribution table:


Learn more about probability here:
brainly.com/question/24756209
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Answer:
If the question is (2/3x) = -10,
x = -(1/15) = - 0.06667
The check is presented under the explanation below
If the correct question is (2/3)x = -10,
x = -15
The check is presented under the explanation below
Explanation:
If the question is rightly written as it is in the attached document,
(2/3x) = -10
We can cross multiply and obtain
2 = -10 × 3x
-30x = 2
x = -(2/30) = -(1/15) = - 0.06667
To check
(2/3x) = -10,
(2 ÷ 3x) = -10
2 ÷ 3(-1/15) = 2 ÷ (-1/5) = 2 ÷ (-0.2) = -10 (Correct!)
If the correct question is
(2/3)x = -10
Divide both sides by (2/3)
x = -10 ÷ (2/3)
x = -10 × (3/2)
x = -15
To check
(2/3)x = -10
If x = -15
(2/3) × (-15) = -10 (Correct!)
Hope this Helps!!!
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I hope that helps.