Answer:
[0.4979, 0.5479]
Step-by-step explanation:
-We first determine the sample proportion:

-The confidence intervals of a sample proportion is calculated using the formula:

#We substitute for the sample proportion and z value to get the Confidence interval:
![CI=\hat p\pm z\sqrt{\frac{\hat p(1-\hat p}{n}}\\\\=0.5238\pm 1.645\times \sqrt{\frac{0.5238\times0.4762}{1008}}\\\\=0.5238\pm0.0259\\\\=[0.4979,0.5497]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%7D%7Bn%7D%7D%5C%5C%5C%5C%3D0.5238%5Cpm%201.645%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.5238%5Ctimes0.4762%7D%7B1008%7D%7D%5C%5C%5C%5C%3D0.5238%5Cpm0.0259%5C%5C%5C%5C%3D%5B0.4979%2C0.5497%5D)
Hence, the 90% confidence intervals is [0.4979,0.5479]
BC is 21 meters.
2x + 5 + 3x = 45
5x + 5 = 45
5x = 40
X = 8
2(8) + 5 = BC
21 = BC
Answer:
Step-by-step explanation:
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y(x+3)2 then (-2x-6)2
is you have to distribute 2 like
2x+6=-4x-12
-2x -2x
6=-2x-12
+12 +12
-2x=0
x=0