The co ordinates of P' is (-7,-2) and Q' is (-16, -8)
<u><em>Explanation</em></u>
PQ is rotated 180 degrees clockwise about P. It means <u>P and P' are the same points</u>.
According to the graph, the coordinates of P is (-7, -2) and Q is (2, 4)
When PQ is rotated 180 degrees clockwise about P, then <u>P or P' will be the mid-point of Q and Q' </u>
Suppose, the co ordinate of Q' is (x, y)
Now according to the mid-point formula, the coordinate of P or P' will be: 
, which is actually at (-7, -2)
Thus.....
So, the co ordinates of P' is (-7,-2) and Q' is (-16, -8)
Answer:
-12.8x - 20y + 8.4
Step-by-step explanation:
To do this you just multiply everything by negative 4
so we have 3.2x*-4 + 5y*-4 - 2.1*-4
This gives us
-12.8x - 20y + 8.4
The last term is positive because we multplied a negative by another negative
Answer:
E
Step-by-step explanation:
there are 5 red boxes and 7 blue boxes
Answer: a) 0.9544996
b) 0.9999366
Step-by-step explanation:
Given : The actual measured resistances of wires produced by company A have a normal probability distribution with mean 
ohm and standard deviation 
ohm.
Wires manufactured for use in a computer system are specified to have resistances between .12 and .14 ohms.
Let x be the random variable that represents the value of resistance in wires.
Using formula for z-score , 
The z-value at x= 0.12 will be
The z-value at x= 0.14 will be
The p-value : 
Hence, the probability that a randomly selected wire from company A’s production will meet the specifications = 0.9544996
b) Sample size : n= 4
Using formula for z-score , 
The z-value at x= 0.12 will be
The z-value at x= 0.14 will be
The p-value : 
The probability that all four in a randomly selected system will meet the specifications = 0.9999366
