HELP ASAP WILL MARK BRAINKLY AND THANK ON ALL ANSWERS IF CORRECT DUE IN 20 MIN
1 answer:
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Answer:
Minor arc BC - 130° (arc at which inscribed angle is subtended)
The major arc BC - 230°
Step-by-step explanation:
Angle BDC is inscribed angle subtended on the arc BC.
The measure of the angle BDC is 65°.
The Central Angle Theorem states that the central angle from two chosen points B and C on the circle is always twice the inscribed angle from those two points.
By the central angle theorem, the measure of central angle BOC (O is the center of the circle) has the measure of
Hence, the minor arc BC has the same measure as the central angle BOC that is 130°.
The major arc BC has the measure
Answer:
0.7734; no, it does not.
Step-by-step explanation:
To find this probability we will use a z-score. We are dealing with the probability of a sample mean being larger than a given value; this means we use the formula
Our x-bar in this problem is 155, as that is the sample mean we are trying to find the probability of. Our mean, μ, is 161 and our standard deviation, σ, is 31. Our sample size, n, is 15. This gives us
Using a z table, we see that the area under the curve less than this, corresponding with probability less than this value, is 0.2266. This means that the probability of the sample mean being larger than this is
1-0.2266 = 0.7734, or 77.34%.
Since there is a 77.34% chance of the passengers having a mean weight that is too heavy, this elevator is not safe.