Answer:
<h2>download photomath :»</h2>
Step-by-step explanation:
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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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I believe it is 72 because there is a right angle so thats 90 the known angle is 18 so thats 18-90-18=72
Answer:
600
Step-by-step explanation:
What divided by 60 equals 10? In other words, you have an unknown number (X), and then if you divide that X by 60 you get 10. Then what is that X? Therefore, the answer to what divided by 60 equals 10 is 600.
That is the answer put anymore question if need help?
X^2 + 5x - 5 = 0
This is a quadratic equation that cannot be factored. It can be solved using the quadratic formula or by completing the square.
the quadratic formula is x = (-b +-sqrt(b^2 - 4ac))/2a
a is the coefficient of the x^2, b is the coefficient of the x, and c is the constant.
a = 1, b = 5, c = -5
x = (-5 +- sqrt(25+20))/2
x = (-5 +- sqrt(45))/2
x = (-5 + - 3 sqt 5))/2
x = (-5 + 3sqrt5)/2 and x = (-5 - 3sqrt5)/2
