Answer:3
Step-by-step explanation:
the idea of showing that multiplying by 1 is true because as long as A and B follow the same ratio pattern (ie. 1n:2n is the same as 2n:4n) the statement will always be true
Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4
Therefore, the height of the building is 75.4 feet.
29. 2w + 13
31. 9r - 4
33. 21q + 10
Answer:
90% confidence interval is (43.25, 61.41)
Step-by-step explanation:
Given that,
n = 17
Mean, 
= 52.33
Standard deviation, 
= 21.44
∝ = 0.10
Now,
Confidence interval = ± ![t_{\frac{\alpha }{2}, n-1} [\frac{\sigma}{\sqrt{n} } ]](https://tex.z-dn.net/?f=t_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%2C%20n-1%7D%20%5B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%5D)
= 52.33 ± 1.7646 [ 21.44 / √17 ]
= 52.33 ± 9.0791
So,
52.33 + 9.0791 = 61.4091
52.33 - 9.0791 = 43.2509
So,
90% confidence interval is (43.25, 61.41)
Also,
Lower end-point = 43.25
Upper end-point = 61.41
