Answer:
the answer is 30
Step-by-step explanation:
the mid-segment of a triangle is half of the side that is parallel to it
mid-segment MJ is parallel to line LK
LK is 60, half of 60 is 30
MJ is 30
Answer:
the minimum is (1,-9)
Step-by-step explanation:
y = 5x^2 - 10x - 4
since the parabola opens upward 5>0, this will have a minimum
it will occur along the axis of symmetry h=-b/2a
y =ax^2 +bx+c
h = -(-10)/2*5
h = 10/10 =1
the minimum occurs at x =1
the y value for the minimum is calculated by substituting x =1 back into the equation
y = 5 * 1^2 - 10*1 -4
y = 5*1^2 -10 -4
y = 5-10-4
y = -9
the minimum is (1,-9)
Answer:
Step-by-step explanation:
A. H0: accident are evenly distributed
H1: accident are not evenly distributed
B. The critical value is chi²(0.01,7) = 18.4753
C. The decision rule would be to reject h0 and accept h1 if the test statistic is higher than the critical value
D. Test statistic = summation (Oi-Ei)²/E
This gives 24.6 from the table.
E. Based on these calculations, test statistic is > than critical value
24.6> 18.4753
F. The inference is that accidents are not evenly distributed at 0.01 level of significance.
Answer:
(- 5, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
(
,
)
Here (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 4, 3) thus
midpoint =
,
) = (
,
) = (- 5, 2 )