Answer:
Step-by-step explanation:
y- y₁ = m(x-x₁)
y - 5 = 2/3 * ( x - [-3] )
y - 5= 2/3 * (x + 3)
y - 5 = 2/3x + (2/3) *3
y- 5 = 2/3x + 2
y = 2/3x + 2 +5
y = 2/3x + 7
Answer:
y + 4 = (x - h)^2
Step-by-step explanation:
"vertex form" is y - k = a(x - h)^2. Here, the vertex (h, k) is (-3, -4), and so we have:
y + 4 = a(x + 3)^2. To find the coefficient a, substitute -1 for x and 0 for y:
0 + 4 = a(-1 + 3)^2, or
4 = a(2^2). Thus, a = 1, and the desired equation is
y + 4 = (x - h)^2
Answer:
Null hypothesis is rejected. Standard deviation is > 8 miles per hour
Step-by-step explanation:
σ [Population standard deviation] = 8 , s [sample standard deviation] = s
n [no of items] = 8
H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8
χ2 = (n - 1) . s^2 / σ^2
= 49 x (10.5)^2 / 82 = 5402.25 / 64
χ2 = 84.410
df [degree of freedom] = n -1 = 50 - 1 = 49
P value (χ^2 49 > 84.410) = 0.00125
p = 0.0013
p < α ie 0.05
So, H0 is rejected
Hence we state that standard deviation is > 8 miles per hpur
Answer: the second one good luck on the test
Step-by-step explanation:
