Answer:
46% of 127 is 58.42
Step-by-step explanation:
46/100 = x/127
Cross multiply
46 × 127 = 100 × x
5,842 = 100x
Divide both sides by 100
58.42 = x
Answer:
We are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%
Step-by-step explanation:
-From the given information, 
.
-We calculate the confidence interval using this value at 95% confidence level:
![CI=\hat p\pm z \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\\\=0.65\pm 1.96\times \sqrt{\frac{0.65\times 0.35}{12000}}\\\\\\=0.65\pm 0.0085\\\\\\=[0.6415,0.6585]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20z%20%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%29%7D%7Bn%7D%7D%5C%5C%5C%5C%5C%5C%3D0.65%5Cpm%201.96%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.65%5Ctimes%200.35%7D%7B12000%7D%7D%5C%5C%5C%5C%5C%5C%3D0.65%5Cpm%200.0085%5C%5C%5C%5C%5C%5C%3D%5B0.6415%2C0.6585%5D)
So, the 95% confidence interval is (0.6515,0.6585).
Hence, we are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%.
In order to answer that question, we need to know the scale of the map.
Without that information, no answer is possible.
I think you have it in the first part of the question ... the part you decided
not to post.
_________________________
OK. Now that you've provided the scale of the map,
answering the question is a piece-o-cake.
Use a proportion:
(1 inch on the map) / (4 miles on the ground) = ('x' on the map) / (17 miles on the ground)
Answer:
n + n+1 + n+2 + n+3 = 230
4n = 224
n = 56 and largest number = 59
Step-by-step explanation:
3/4 + 1 = 1.75 which is equivalent to 7/4
1- 3/4 = 0.25 which is equivalent to 1/4
the problem now looks like 7/4 / 1/4
you cancel out both 4
this problem simplified looks like 7/1
which is equivalent to 7 if you divide
