1) The formula used for determining the confidence interval is
Sample mean +/- Critical value (or z-score corresponding to 90% confidence) * Standard
error of mean
8439 +/- 1.645 * 100/sqrt 25
8439 +/- 1.645 * 20
8439 +/- 32.9
2) The only difference in this case is finding the critical value i.e., z-score corresponding to 92% confidence which is 1.75 approximately
Then the confidence interval is
8439 +/- 1.75 * 100/sqrt 25
8439 +/- 1.75 * 20
8439 +/- 35
Lower limit is 8439 - 35 = 8404
The upper limit is 8439 + 35 = 8474
Answer:i would 1*/
Step-by-step explanation: because
2.33 years. The principal amount of 40,000 takes 2.33 years to reach 51,200 with a simple interest of 0.12. 2.33 years.
<u>Answer-</u>
<em>Area of the triangle is </em><em>10 sq.units</em>
<u>Solution-</u>
We know that,
![\text{Area of the triangle}=\dfrac{1}{2}[{x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20the%20triangle%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5B%7Bx_1%28y_2-y_3%29%2Bx_2%28y_3-y_1%29%2Bx_3%28y_1-y_2%29%5D)
Taking,
(x₁, y₁) = (3, 3)
(x₂, y₂) = (3, -1)
(x₃, y₃) = (-2, -5)
Then putting these in the formula,
![\text{Area of the triangle}=\dfrac{1}{2}[3(-1+5)+3(-5-3)-2(3+1)]](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20the%20triangle%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5B3%28-1%2B5%29%2B3%28-5-3%29-2%283%2B1%29%5D)
![=\dfrac{1}{2}[3(4)+3(-8)-2(4)]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%5B3%284%29%2B3%28-8%29-2%284%29%5D)
![=\dfrac{1}{2}[12-24-8]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%5B12-24-8%5D)
![=\dfrac{1}{2}[-20]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%5B-20%5D)
As area can not be negative, ignoring negative sign,
