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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Answer:
Is this the whole question or u cut it?
Step-by-step explanation:
similar triangles means that all angles in one triangle are exactly the same as the angles in the other triangle.
and the lengths of all sides of one triangle have the same scaling factor with the lengths of the sides of the other triangle.
so, when we compare the "features" of the triangles, we see that C corresponds to S, B to R and D to T.
so, DC (50) corresponds to TS (70).
and that means that CB (60) corresponds to SR (11x - 4).
the scaling factor from BCD to RST is 70/50 = 7/5.
that means DC × 7/5 = TS.
and CB × 7/5 = SR :
60 × 7/5 = 11x - 4
12 × 7 = 11x - 4
84 = 11x - 4
88 = 11x
x = 8
Use pemdas and go from left to right
8+20/5*2
8+4*2
8+8
16
Circle Area = PI * radius^2
289 = PI * radius^2
radius = 9.5912229203
circumference = 2 * PI * radius = 60.2634309308