Answer: 0.0227502
Step-by-step explanation:
Let x denote the random variable that represents the mileage of SUV.
As per given we have,


sample size : n= 36
We assume that the mileage of SUV is normally distributed.
Z-score value corresponds to x= 21.0,

Using standard z-value table ,
The probability that the sample average will be over 21.0 mpg:-
P(X>35)=P(z>2)=1-P(z<2)=1-0.9772498=0.0227502
Hence, the required probability = 0.0227502
Step-by-step explanation:
Decide which of the following are quadratic equations.
(1) x2 + 5x – 2 = 0
(2) y2 = 5y – 10
(3) y2+
1
y
=2
(4) x+
1
x
=-2
(5) (m + 2) (m – 5) = 0
(6) m3 + 3m2 – 2 = 3m3
ANSWER:
(1) x2 + 5x – 2 = 0
Only one variable x.
Maximum index = 2
So, it is a quadratic equation.
(2) y2 = 5y – 10
Only one variable y.
Maximum index = 2
So, it is a quadratic equation.
(3) y2+
1
y
=2
⇒y3+1=2y
Only one variable y.
Maximum index = 3
So, it is not a quadratic equation.
(4) x+
1
x
=-2
⇒x2+1=-2x
Only one variable x.
Maximum index = 2
So, it is a quadratic equation.
(5) (m + 2) (m – 5) = 0
⇒m2-3m-10=0
Only one variable m.
Maximum index = 2
So, it is a quadratic equation.
(6) m3 + 3m2 – 2 = 3m3
Only one variable m.
Maximum index = 3
So, it is not a quadratic equation.
The answer is 11x+15. To show your work add 6x+8x+-3x(tip if there is a positive and a negative next to each other then the negative wins). You should positive 11. Then u do positive 26+1+-12(if a negative is next to a positive then the negative wins). For that you should get positive 15. So ur answer should be 11x+15. Hope this helps :)
Answer:
Rotation about 180*
Translation about 7 units to the right and 8 down
Step-by-step explanation: