The probability that it is less than 11.9 inches long will be 0.11304.
<h3>What is the z-score?</h3>
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of 1.9 inches.
If one item is chosen at random.
Then the probability that it is less than 11.9 inches long will be
Then the z-score will be
z = (11.9 – 14.2) / 1.9
z = –1.21
Then the probability will be
P(x < 11.9) = P(z < –1.21)
P(x < 11.9) = 0.11304
More about the z-score link is given below.
brainly.com/question/15016913
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Answer:
16.5
Step-by-step explanation:
60 minutes = 1 hour
20 minutes * 3 = 60.
That means, by multiplying by a factor of 3, we can see exactly what Carrier's pg/hr speed is.
5.5 * 3 = 16.5
The total utility of 4 units is 50 and the marginal utility is 5
Total utility is the sum of satisfaction that is derived from the consumption of units of a good or service.
Total utility can be determined by adding the marginal utility of each unit that is consumed.
Total utility of consuming 4 units =<em> marginal utility</em> of the first unit + <em>marginal utility</em> of the second unit + <em>marginal utility</em> of the third unit + <em>marginal </em>utility of the fourth unit
20 + 15 + 10 + 5 = 50
Marginal utility is the change in total utility when consumption increases by unit. Marginal utility is 5
Please find attached the table used in answering this question. To learn more about marginal utility, please check: brainly.com/question/14149928?referrer=searchResults
Answer:
28
Step-by-step explanation: