Using the normal distribution, the probability that a worker selected at random makes between $500 and $550 is: 2.15%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean mu and standard deviation sigma is given by:
Z = (X - mu)/sigma
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given as follows:
mu = 400, sigma = 50
The probability is the <u>p-value of Z when X = 550 subtracted by the p-value of Z when X = 500</u>, hence:
X = 550:
Z = (X - mu)/sigma
Z = (550 - 400)/50
Z = 3
Z = 3 has a p-value of 0.9987.
X = 500:
Z = (X - mu)/sigma
Z = (500 - 400)/50
Z = 2
Z = 2 has a p-value of 0.9772.
0.9987 - 0.9772 = 0.0215 = 2.15% probability.
More can be learned about the normal distribution at brainly.com/question/15181104
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Answer:
x <= -42.5
Step-by-step explanation:
65 - 2x >= 150
-2x >= 150 - 65
-2x >= 85
2x <= -85
x <= -85/2
x <= -42.5
Replace the x with 2: f(2)=2*2+7=4+7=11
replace the x with 7: f(7)=2*7+7=14+7=21
Answer:
The answer to your question is: D
Step-by-step explanation:
The graph is in the attachment.
After observing the graph, due to its shape, we can conclude that is a cubic.
A. Linear
B. Quadratic
C.Log
D. Cubic
<span>They used 11 containers. 7 containers contained 56 big turkey boxes while 4 containers contained 40 small turkey boxes. 56 is the largest number which is divisible by 8 when deducting 96 by 10. This method ensured that all the containers are shipped at full capacity.</span>
