Answer:
y = x -7
Step-by-step explanation:
2x - 2y = 14
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
Subtract 2x from each side
2x - 2y -2x = -2x+14
-2y = -2x+14
Divide each side by -2
-2y/-2 = -2x/-2 +14/-2
y = x -7
The slope is 1 and the y intercept is -7
There are 10³×26³ = 17,576,000 possible different plates. If any of those is randomly chosen, the probability of picking one in particular is
... 1/17576000 ≈ 0.0000000569
Answer with explanation:
It is given that , ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s.

Radius of Circle = 9.0 meters
Acceleration is rate of change of velocity,which will be perpendicular to radius vector.
Also, in terms of mathematics, line from center that is radius , to point of contact that is tangent line ,which is on the circle are perpendicular to each another.
→r(radius vector) ⊥ a(Acceleration vector).
So, In option A, Radius vector is Perpendicular to acceleration of riders.
Answer:
A) 66 inches
B) 3.5 inches
C) 38 inches
D) 3 inches
Step-by-step explanation:
A)
If the height of the 36-month-old boy is 36 inches, we just need to use the value of x = 36 in the equation, and then find the value of y:
y = 3.5 * 36 - 60 = 66 inches
B)
As the slope of the equation is 3.5, an increase of 1 in the value of x causes a increase of 3.5 in the value of y, so the answer is 3.5 inches.
C)
We just need to use y = 73 and then find x:
73 = 3.5x - 60
3.5x = 133
x = 38 inches
D)
If the increase in y was 10.5, we just need to divide this value by the slope to find the increase in x:
dx = dy/3.5 = 10.5/3.5 = 3 inches
The probability that none of the four have been vaccinated is
(1-0.63)^4 = 0.01874161
The probability that at least one has been vaccinated is the complement of this,
≈0.9813