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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>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:
The probability of a bulb lasting for at most 569 hours is the <u>p-value of Z when X = 569</u>, hence:
Z = 1.16
Z = 1.16 has a p-value of 0.877.
0.877 = 87.7% 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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<span>A fraction is normally expressed in its lowest form. It means that there is no common factor for the numerator and denominator. A common factor is a number that can divide both the numerator and the denominator without a remainder.
A fraction in its lowest form can have any number of equivalent fractions. To create equivalent fractions, multiply both the denominator and the denominator by the same number. For example, 1/2 will become 2/4 when multiplied by 2 and 3/6 when multiplied by 3. We can use any number to multiply but we must multiply both the numerator and the denominator.</span>
The equation of a circle with center (h, k) and radius r is
.. (x -h)^2 +(y -k)^2 = r^2
Filling in the given information, you have
.. (-3-5)^2 +(2-(-4))^2 = r^2
.. 64 +36 = r^2 = 100
The equation of the circle is then
.. (x -5)^2 +(y +4)^2 =100
Your blanks are filled with (-5), (4), (100).
The given sequence is 600, -300, 100, -25.
It is a recurrence sequence and is given by