Answer:
symmetric property
Step-by-step explanation:
with symmetric property if x=y then both values on either side of the equal sign will be equal
Answer: it is c
Step-by-step explanation:
Answer: 
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
- By definition, the perimeter of the figure is the sum of the lenght of each side. Then, you must make the addition as following:

Where
is the perimeter of the figure.
- Add the like terms, then, you obtain the following expression in simplest form:

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.
Answer:
<h2>
12 m</h2>
Step-by-step explanation:
Given data
θ= 10°
Horizontal length is equivalent to the adjacent= 20 m
the height of the ramp is equivalent to the opposite=?
Applying SOH CAH TOA we have
using TOA
Tan θ= opp/adj
Tan 10= opp/20
opp= Tan(10)* 20
opp= 0.64836*20
opp= 12.96
Approximately the maximum height of the ramp is 12 m