Answer:
Therefore the greatest number of cookies she can put each bag is 14.
Step-by-step explanation:
Given that Anna has made 30 chocolate chip cookies and 54 sugar cookies.
First we have to find out the number of fried or the number of bags.
So to find the number of bags, We need to find out the G.C.D of 30 and 54.
30=5×3×2
54=3×3×3×2
The common divisor of 30 and 54 is = 3×2 = 6
∴The G.C.D of 30 and 54 is 6.
The number of bags is 6.
The number of chocolate cookies each bags is
=(The number of chocolate cookies÷ 6)
=30÷6
=5
The number of sugar cookies each bags is
=(The number of sugar cookies÷ 6)
=54÷6
=9
Therefore the greatest number of cookies she can put each bag is (5+9)=14.
The value of 9 is 90 because it is in the tens place.
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%.
U should either multiply 8% by 16ml hope i helped. :)
