Answer:
(11.605 ; 22.195)
Step-by-step explanation:
11 10 16 15 18 12 25 20 18 24
Sample mean, xbar = Σx / n = 169 / 10 = 16.9
Standard deviation = 5.152 ( using calculator)
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/√n
Df = n - 1 = 10 - 1 = 9
Tcritical at 99%, df =9 = 3.2498
Margin of Error = 3.2498 * 5.152/√10 = 5.2946
Lower boundary :
16.9 - 5.2946 = 11.6054
Upper boundary :
16.9 + 5.2946 = 22.1946
(11.605 ; 22.195)
Answer:
Option D is correct.
The equation with roots 3 plus or minus square root 2 is x² - 6x + 7
Step-by-step explanation:
The roots of the unknown equation are
3 ± √2, that is, (3 + √2) and (3 - √2)
The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation
x = (3 + √2) or x = (3 - √2)
The equation is this
[x - (3 + √2)] × [x - (3 - √2)]
(x - 3 - √2) × (x - 3 + √2)
x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)
= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2
Collecting like terms
= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2
= x² - 6x + 7
Hope this Helps!!!
Answer: kindly check explanation
Step-by-step explanation:
Given that:
Area of rectangle = 120 cm²
Assume ; Length and width are whole numbers
Possible dimension of the rectangle will be :
Area of a rectangle = Length × width
Area = 120cm²
Possible dimensions :
80cm by 1 cm
40cm by 2cm
20cm by 4cm
10cm by 8cm
5cm by 16cm
Possibility which gives the smallest perimeter :
Dimension = 10cm by 8cm
Perimeter of Rectangle = 2(length + width)
Perimeter of Rectangle :
= 2(10 + 8)cm
= 2(18)cm
= 36cm
Please provide more information. This question is not able to be answered with the information provided. Try giving the full problem!
Answer:
Step-by-step explanation:
Equals 23x
