Here's a graph with 4 points shown.
Joseph is standing 12 feet from a mirror lying on the ground, and his eyes are 5 feet above the ground. The line-of-sight reflec
tions on the mirror makes mc003-2.jpg congruent to mc003-3.jpg . If the building is 264 feet from the mirror, which is closest to the height of the building?
1 answer:
See the attached figure which represents the explanation of the problem.
Let <span>the height of the building = h
</span>
∵ ∠1 congruent to ∠2
∴ ∠1 = ∠2
∴ tan (∠1) = tan (∠2) ⇒⇒⇒ tan of the angle = (opposite/adjacent)
∴
∴ 12 h = 5 * 264 = 1,320
∴ h = 1,320/12 = 110 feet
∴ T<span>he height of the building = 110 feet
</span>
Let <span>the height of the building = h
</span>
∵ ∠1 congruent to ∠2
∴ ∠1 = ∠2
∴ tan (∠1) = tan (∠2) ⇒⇒⇒ tan of the angle = (opposite/adjacent)
∴
∴ 12 h = 5 * 264 = 1,320
∴ h = 1,320/12 = 110 feet
∴ T<span>he height of the building = 110 feet
</span>
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Answer:
The answer is below
Step-by-step explanation:
The empirical rule states for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviations and 99.7% falls within three standard deviations.
z score is given by:
Given that mean (μ) = 42 ounces, standard deviation (σ) = 10 ounces.
a) 99.7% falls within three standard deviations. Therefore:
99.7% falls within μ ± 3σ = 42 ± 3(10) = 42 ± 30 = (12, 72)
Therefore 99.7% falls within 12 ounce and 72 ounce.
b) For x > 26
For x < 66
From the normal distribution table, P(26 < x < 66) = P(-1.6 < z < 2.4) = P(z < 2.4) - P(z < -1.6) = 0.9918 - 0.0548 = 0.937 = 93.7%
c) For x > 34
From the normal distribution table, P(x > 34) = P(z > -0.8) = 1 - P(z < -0.8) = 1 - 0.2119 = 0.7881 = 78.81%