Answer:
CI=[0.8592,0.9402]
Yes, Method appears to be effective.
Step-by-step explanation:
-We first calculate the proportion of girls born:
Since np
, we assume normal distribution and calculate the 99% confidence interval as below:
![CI=\hat p\pm z\sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\=0.9\pm2.576\sqrt{\frac{0.9\times 0.1}{370}}\\\\=0.9\pm 0.0402\\\\={0.8598, \ 0.9402]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%29%7D%7Bn%7D%7D%5C%5C%5C%5C%3D0.9%5Cpm2.576%5Csqrt%7B%5Cfrac%7B0.9%5Ctimes%200.1%7D%7B370%7D%7D%5C%5C%5C%5C%3D0.9%5Cpm%200.0402%5C%5C%5C%5C%3D%7B0.8598%2C%20%5C%200.9402%5D)
Hence, the confidence interval is {0.8598, 0.9402]
-The probability of giving birth to a girl is 0.5 which is less than the lower boundary of the confidence interval, it can be concluded that the method appears to be effective.
Multiply the coefficients
i think the next one might be exponents??
I'm not 100% sure on this but im trying to helppp
4y+6
The given expression is 8(1/2y+3/4)
To make it easier put 8/1, so we can multiply fractions without getting confused.
First step is 8/1•1/2, for the numerator or top, we have 8•1=8. The denominator or bottom, we have 1•2=2. Now we put them back together like a puzzle. The numerator is 8, and the denominator is 2. So we put eight over two 8/2. Eight divided by two equals four. 8/2=4
So far we've solved for the first half. Don't forget the variable at the end of the first section!
We have 4y+(3/4) now.
But we don't stop there. The eight on the outside of the parenthesis also apply to 3/4.
Same thing we put 8/1 and multiply top and bottom against 3/4.
8•3=24, for the numerator or top value.
1•4=4 for the denominator or bottom value. We combine them back into a fraction, so we have 24/4. Now we don't stop there. We need to simplify the fraction so twenty four divided by four equals six, or 24/4=6.
We plug it back into the original equation with both our new answers, leaving us with 4y+6
The completely simplified answer is 4y+6
The tangent at A is perpendicular to OA, so has a slope that is the negative reciprocal of that of the radius: -1/2.5 = -2/5.
