Answer: The answer is the 4th option
Step-by-step explanation: Hope this helps!
Answer:
The required confidence inteval = 94.9%.
Step-by-step explanation:
Confidence interval: Mean ± Margin of error
Given: A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969).
i.e. Mean + Margin of error = 42.969 (i)
Mean - Margin of error = 36.191 (ii)
Adding (i) and (ii), we get
![2Mean =79.16\\\\\Rightarrow\ Mean= 39.58](https://tex.z-dn.net/?f=2Mean%20%3D79.16%5C%5C%5C%5C%5CRightarrow%5C%20Mean%3D%2039.58)
Margin of error = 42.969-39.58 [from (i)]
= 3.389
Margin of error = ![t^* \dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=t%5E%2A%20%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
here n= 25 ![, \ \sigma=8.25](https://tex.z-dn.net/?f=%2C%20%5C%20%5Csigma%3D8.25)
i.e.
![3.389=t^*\dfrac{8.25}{5}\\\\\Rightarrow\ t^* = \dfrac{3.389}{1.65}\\\\\Rightarrow\ t^* =2.0539 \](https://tex.z-dn.net/?f=3.389%3Dt%5E%2A%5Cdfrac%7B8.25%7D%7B5%7D%5C%5C%5C%5C%5CRightarrow%5C%20t%5E%2A%20%3D%20%5Cdfrac%7B3.389%7D%7B1.65%7D%5C%5C%5C%5C%5CRightarrow%5C%20t%5E%2A%20%3D2.0539%20%5C)
Using excel function 1-TDIST.2T(2.054,24)
The required confidence inteval = 94.9%.
Vertical angles are equal to each other:
∠2 = ∠3
5 + 4y = 6y - 25
→ 30 = 2y
→ 15 = y
∠2 = 5 + 4y = 5 + 4(15) = 5 + 60 = 65
linear pairs equal 180:
∠1 + ∠2 = 180
→ ∠1 + 65 = 180
→ ∠1 = 115
Answer:
x=5
Step-by-step explanation:
esa es la respuesta correcta
I need another number for this problem to answer