Answer:
Either y = or, y =
Step-by-step explanation:
We have to solve the following quadratic equation
45y² + 15y - 10 =0
Now, dividing both sides with 5 we get, 9y² + 3y -2 =0
Hence, to solve the above equation we have to factorize the left-hand part of the equation.
So, 9y² + 3y - 2 =0
⇒ 9y² +6y -3y -2 =0
⇒ (3y +2) (3y -1 ) =0
⇒ Either (3y +2) =0 or (3y -1) =0
⇒ Either y = or, y =
(Answer)
Answer:
The statement that is true is;
The vertices of the image are closer to the origin than those of the pre-image
Step-by-step explanation:
The dilation rule is 0.75(x,y)= (0.75x, 0.75y)
K (-4,4)----------( 0.75*-4,0.75*4)-------K' (-3,3)
L (2,4)-----------(0.75*2,0.75*4)---------L' (1.5,3)
M (-2,2)----------(0.75*-2,0.75*2)--------M' (-1.5,1.5)
Answer:
21.77% probability that the antenna will be struck exactly once during this time period.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
In this question:
Find the probability that the antenna will be struck exactly once during this time period.
This is P(X = 1).
21.77% probability that the antenna will be struck exactly once during this time period.