Find the value of: a) 2x when x=5 b) 4y when = -3 c) 3z when z = 1.2
1 answer:
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The points of new triangle is (3,-2), (6,-3) and (2,-5).
<u>Step-by-step explanation:</u>
The given points in the triangle A(-3,7), B(9,3) and C(-7,-5).
The scale factor is and centered at point (5,-5).
The formula to dilate a point that is not centered on a origin is given by,
D(x,y)=(h+t(x-h),k+t(y-t)).
where (h,k) is the center point.
To find A',
D(-3,7)=(5-2, -5+3).
D(-3,7)=(3,-2).
To find B',
D(9,3) = (5+1,-5+2).
D(9.3)=(6,-3).
To find C',
D(-7,-5)=(5-3,-5+0).
D(-7,-5)=(2,-5).
∴ The points of new triangle is (3,-2), (6,-3) and (2,-5).
Answer:
0.081,0.2621,0.645,0.919
Step-by-step explanation:
Let X be the average speed of a car driving down freeway
Given that X is normal with mean as 70mph with a standard deviation of 5mph.
To convert to Z score we do
a) the probability that a randomly selected car is driving more than 77mph
b) probability that a randomly selected car is driving between 65 and 69 mph
=
c) the probability that a randonly selected car is driving between 67 and 77mph
=
d) the probability that a randomly selected car is driving less than 77mph