Answer:
Height of the building = 115.4 ft.
Step-by-step explanation:
Height of building = AB + 46.4 + CD + 30.5
By applying Pythagoras theorem in ΔABP,
(26)² = (10)²+ (AB)²
676 - 100 = AB²
AB² = 576
AB = 24 ft
By applying sine rule in ΔCDE,
cos(60°) = 
CD = CE × 
CD = 
CD = 14.5 ft
Total Height = 24 + 46.4 + 14.5 + 30.5
= 115.4 ft
Answer:
x = 4
Step-by-step explanation:
Given
2(3x - 5) = 2x + 6 ( divide both sides by 2 )
3x - 5 = x + 3 ( subtract x from both sides )
2x - 5 = 3 ( add 5 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Answer:
7^1/3 * y^1/3
Step-by-step explanation:
(7y) ^ 1/3
We know that (ab) ^c = a^c * b^c
7^1/3 * y^1/3
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Step-by-step explanation:
Answer:
c. 9.5 lb < mu < 11.1 lb.
Step-by-step explanation:
Confidence interval can be stated as M±ME where
- M is the sample mean (10.3)
- ME is the margin of error
margin of error (ME) around the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic in 95% confidence level (1.96)
- s is the standard deviation of the sample (2.4)
- N is the sample size (37)
Putting thesenumbers in the formula we get:
ME=
≈ 0.7733 ≈ 0.8
Then the 95% confidence interval would be 10.3 ± 0.8