Answer:
Step-by-step explanation:
we know that
30 and one-third miles is equal to
one-third of an hour is equal to
Applying proportion
Convert to mixed number
Geometry; Inscribed Angles.Find the value of y. Please explain!
2 answers:
Answer:
y = 48° is the answer.
Step-by-step explanation:
In the figure attached, length of small arc = 66°
This small arc makes an angle at the center of the circle = 66°
By definition, angle formed by the arc at the center is double of the measure of the angle inscribed by the small arc at the point on a circle.
Therefore, m (arc) = 66° = 2.(x)
x =
Similarly, y =
y = 48° will be the answer.
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Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 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.
In this problem, we have that the mean and the standard deviation are given, respectively, by:
.
The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:
Z = 0.67
Z = 0.67 has a p-value of 0.7486.
1 - 0.7486 = 0.2514.
0.2514 = 25.14% of the batteries will last more than 420 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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