The circumference of this circle is c=94.25ft
10.5, 11, 11.5, 12, 12.5...this is an arithmetic sequence with a common difference of 0.5
an = a1 + (n - 1) * d
n = term to find = 23
a1 = first term = 10.5
d = common difference = 0.5
sub and solve
a(23) = 10.5 + (23 - 1) * 0.5
a(23) = 10.5 + 22 * 0.5
a(23) = 10.5 + 11
a(23) = 21.5 <===
Answer:
≈ 14.3 hours
Step-by-step explanation:
The mean is calculated as
mean =
=
=
≈ 14.3 ( to nearest tenth )
Answer:
{ 6, 9, 16, 18 }
Step-by-step explanation:
To find the range substitute the values of x from the domain into the equation for y, that is
x = - 3 : y = - 3 + 9 = 6
x = 0 : y = 0 + 9 = 9
x = 7 : y = 7 + 9 = 16
x = 9 : y = 9 + 9 = 18
The y values are the range of the relation, that is
y ∈ { 6, 9, 16, 18 }
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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