Answer:
a) μ =35.858KN
b) median cable strength =36.06KN
Step-by-step explanation:
Let X1, X2, X3, X4 represent the strength of the 4 wires.
We can find the median of the cable strength in minitab as:
Stat - Basic statistics- Display descriptive statistics-variable (C5) -statistics(median) - ok
Median cable strength is 36.06 KN
Therefore the estimate of the mean strength of the cable is 35.858 KN, and the estimate of the median cable strength is 36.06 KN.
Answer:
Sample mean = 7.1
Margin of error = 0.465
Step-by-step explanation:
Formula for confidence interval is;
CI = x¯ ± zE
Where;
x¯ is sample mean
z is critical value at confidence level
E is margin of error.
z for 99% Cl is 2.58
We are told the CI is 5.9 to 8.3.
Thus;
5.9 = x¯ - 2.58E - - - - (1)
8.3 = x¯ + 2.58E - - - - (2)
Add both equations together to get;
14.2 = 2x¯
x¯ = 14.2/2
x¯ = 7.1
Put 7.1 for x¯ in eq 1 to get;
5.9 = 7.1 - 2.58E
7.1 - 5.9 = 2.58E
E = 1.2/2.58
E = 0.465
Volume of Square Based Pyramid = (1/3)*(Side Length of Base)^2 *(height)
the given information are:
Volume = 120
height = 10
plug this in and get:
120 = (1/3)*(side)^2 *(10)
12 = (1/3)*(side)^2 [divided both sides by 10]
36 = (side)^2 [multiplied both sides by 3]
(side) = 6 [square rooted both sides]
Therefore the Side Length of the Base is 6 meters.
Answer:
15
Step-by-step explanation:
The ordered pair (-4, 0) is a solution to the system because it makes both equations true. -4 is your x and 0 is your y for both equations.
