Answer:
Step-by-step explanation:
For a known standard deviation, the confidence interval for sample size = n is
![(x-z \frac{ \sigma }{ \sqrt{n}},x+x \frac{ \sigma }{ \sqrt{n} } )](https://tex.z-dn.net/?f=%28x-z%20%5Cfrac%7B%20%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%7D%2Cx%2Bx%20%5Cfrac%7B%20%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20%20%29)
where
x = average
n = sample size
![\sigma](https://tex.z-dn.net/?f=%20%5Csigma%20)
= stad. deviation
z = contant that reflects confidence interval
Let a = x
Let b =
![z \frac{ \sigma }{ \sqrt{n} }](https://tex.z-dn.net/?f=z%20%5Cfrac%7B%20%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20)
From the given information,
a - b = 0.432 (1)
a + b = 0.52 (2)
Add (1) and (2): 2a = 0.952 => a = 0.476
Subtract (2) from (1): -2b = -0.088 => b = 0.044
Therefore, the confidence interval may be written as
(0.476 - 0.044, 0.476 + 0.044), or as
(0.476
![\pm](https://tex.z-dn.net/?f=%20%5Cpm%20)
0.044)
Answer:
i would go for B
Step-by-step explanation:
Answer:
Step-by-step explanation:
A perfect square is an integer that is the square of another integer.
49 = 7*7 / 7 squared
9 = 3*3 / 3 squared
225 = 15*15 / 15 squared
Hello!
In this question, we can relate the definition of similar polygons to the side lengths.
If two given polygons are similar, that means that each corresponding side is multiplied by a certain, equivalent ratio to get the side length of the other side.
That means that we can take any side length ratio and set it equal to a ratio including the unknown side length.
![\frac{6}{x}=\frac{2}{1.4}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7Bx%7D%3D%5Cfrac%7B2%7D%7B1.4%7D)
![8.4=2x](https://tex.z-dn.net/?f=8.4%3D2x)
![x=4.2](https://tex.z-dn.net/?f=x%3D4.2)
Hope this helps!