By using distance formula (which is attached below), you can solve this problem:
√(x2-x1)^2+(y2-y1)^2
(5, -1) and (5, 3)
√(5-5)^2+(3-(-1))^2
√0^2+4^2
√0+16
√16
4
The distance between the two points is 4.
Answer:
Step-by-step explanation:
a. H0: μ ≤ 104 Ha: μ > 104
Assuming the data leads to the rejection of the null hypothesis, we would conclude that there is no sufficient statistical evidence to prove that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month.
b. The type error in this situation would be rejecting the null hypothesis when it is actually true. Rejecting the fact that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month when it was actually true.
c. Type II error in this case would be failing to reject the null when it is false. Failing to reject the fact that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month when it is actually not true.
The consequences for these errors might be disastrous including sueing of the accuser party etc.
0.02 as a mixed number is 2/100 which is reduced to 1/50
Answer:
-19 y^2 + 18 x y + 13 x^2
Step-by-step explanation:
Simplify the following:
16 x^2 + 15 x y - 19 y^2 - (3 x^2 - 3 x y)
Factor 3 x out of 3 x^2 - 3 x y:
16 x^2 + 15 x y - 19 y^2 - 3 x (x - y)
-3 x (x - y) = 3 x y - 3 x^2:
16 x^2 + 15 x y - 19 y^2 + 3 x y - 3 x^2
Grouping like terms, 16 x^2 + 15 x y - 19 y^2 - 3 x^2 + 3 x y = -19 y^2 + (15 x y + 3 x y) + (16 x^2 - 3 x^2):
-19 y^2 + (15 x y + 3 x y) + (16 x^2 - 3 x^2)
x y 15 + x y 3 = 18 x y:
-19 y^2 + 18 x y + (16 x^2 - 3 x^2)
16 x^2 - 3 x^2 = 13 x^2:
Answer: -19 y^2 + 18 x y + 13 x^2
Step-by-step explanation:
Area of square
A = s²
A = 28²
A = 28 × 28
A = 784 cm²
