Answer:
(5.4582 ; 6.8618)
Step-by-step explanation:
Given the data:
6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5
Sample mean, xbar = Σx / n
n = sample size = 50
ΣX = 308
xbar = 308 / 50 = 6.16
Using a Calculator :
The sample standard deviation, s = 2.469
Confidence interval = xbar ± margin of error
Margin of Error = Tcritical * s/sqrt(n)
Tcritical at 95% ; df = 50 - 1 = 49
Tcritical = 2.010
Hence,
Margin of Error= 2.010 * (2.469/sqrt(50)) = 0.7018
Lower boundary : (6.16 - 0.7018) = 5.4582
Upper boundary : (6.16 + 0.7018) = 6.8618
(5.4582 ; 6.8618)
Four different ways to solve a quadratic equation are factoring, completing the square, quadratic formula, and graphing. all methods start with setting the equation equal to zero.
to determine the zeros of a quadratic graph, find the points where the graph of the quadratic equation crosses the x-axis. to determine the vertex, you convert the quadratic form to vertex form, you use this process of completing the square. to determine the axis of symmetry, you cut the graph vertically to see the symmetrical sides.
hope this helps, God bless!
Mn - 4m - 5n + 20
In this, mn and -4m have a common factor; m. So we can take that out to make it:
m(n-4) -5n + 20
Now, -5n + 20 also has a common factor which is 5, because 20/5 gives you 4, and 5/5 equals 1. So we can talk out that -5 (it doesn't need to be negative, but negatives on variable, no gusta). So you'd get
m(n-4)-5(n-4) OR m(n-4)+5(-n+4)
Answer: 36cm
Step-by-step explanation:
