Answer:
B
Step-by-step explanation:
(x,y) = P + (a)t
(x,y) = (4,7) + t(3,8)
(x,y) - (4,7) = t(3,8)
(x-4, y-7) = t(3,8)
Answer:
in graph A the vertex is (0,0)
in graph B the vertex is (0,3)
in graph C the vertex is (0,-3)
And in graph D the vertex is (0,-1)
The axis of symmetry for all of the is 0
And i don't remember maximum and minimum sorry
Answer:
Mean = 30516.67
Standard deviation, s = 3996.55
P(x < 27000) = 0.0011518
Step-by-step explanation:
Given the data:
28500 35500 32600 36000 34000 25700 27500 29000 24600 31500 34500 26800
Mean, xbar = Σx / n = 366200 /12 = 30516.67
Standard deviation, s = [√Σ(x - xbar) / n-1]
Using calculator, s = 3996.55
The ZSCORE = (x - mean) / s/√n
Zscore = (27000 - 30516.67) / (3996.55/√12)
Zscore = - 3516.67 / 1153.7046
Zscore = - 3.048
P(x < 27000) = P(Z < - 3.049) = 0.0011518
Answer:
x = 1/25
y = 32/25
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
Find the diagonal of the square. The side of the square is 5 cm long. By the Pythagorean theorem,

If the square (being inside the circle) touches the circle, then the diagonal of the square is exactly the diameter of the circle. The diameter of the circle is twice the radius of the circle, so

Since the diagonal is shorter than the diameter, the square can fit into the circle without touching the circle.