Answer:
all real numbers such that x is greater than or equal to 2 (x≥2)
Step-by-step explanation:
Answer:
38,5
Step-by-step explanation:
723-(124+368)/6 =38,5 or 77/2
The correct answer is m<1
Answer:
Minimum Values:
x = 0, y = 1, z = 3
Maximum Values:
x = 7 , y = 11 , z = 47
Step-by-step explanation:
FOR MINIMUM VALUES:
0<= x <= 7
It is clear from the above inequality that the minimum value of x must be 0.
y>= 1
This inequality shows that the minimum value of y must be 1. Using these minimum values of x and y to get the minimum value of z:
z = 2x + 3y
z = (2)(0) + (3)(1)
z = 3 (Minimum)
FOR MAXIMUM VALUES:
0<= x <= 7
It is clear from the above inequality that the maximum value of x must be 7.
x + y <= 11
To calculate maximum value of y we can use the minimum value of x in this inequality:
0 + y <= 11
y <= 11
Hence, the maximum value of y is 11.
Using these maximum values of x and y to get the maximum value of z:
z = 2x + 3y
z = (2)(7) + (3)(11)
z = 47 (Maximum)
Using the normal distribution, it is found that there is a 0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
<h3>What is Normal Probability Distribution?</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:

- 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, respectively, by:
= 530
= 625
25
The probability of a bulb lasting for at most 569 hours is the p-value of Z when X = 569, hence:

z =
= 1.36
Z = 1.36 has a p-value of 0.9131
0.9131 x 100 = 91.31 % probability of a bulb lasting for at most 569 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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