The answer is a. Just check the work below to understand
Answer: = ( 0.411, 0.409)
Therefore at 95% confidence interval (a,b) = (0.411, 0.409)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean gain x = 0.41
Standard deviation r = 0.016
Number of samples n = 1000
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
0.41+/-1.96(0.016/√1000)
0.41+/-1.96(0.000506)
0.41+/-0.00099
0.41+/-0.001
= ( 0.411, 0.409)
Therefore at 95% confidence interval (a,b) = (0.411, 0.409)
The altitude might be another name for a height of a pyramid, lol, hope this helps
The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.
Given: The times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 40 minutes and 65 minutes.
It can be deduced that the probability that a randomly selected cable repair visit will take at least 43 minutes will be calculated thus:
= 1 - [(43 - 40)/(65 - 40)
= 1 - 0.12
= 0.88
Hence, The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.
Learn more about probability here brainly.com/question/6354635
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Answer:
1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.
2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.
Step-by-step explanation: I just did the tutorial right now i hope this helps
