Answer:
The probability that of the 3 households randomly selected at least 1 owns a sports car is 0.1956.
Step-by-step explanation:
Let <em>X</em> = number of household owns a sports car.
The probability of <em>X</em> is, P (X) = p = 0.07.
Then the random variable <em>X</em> follows a Binomial distribution with <em>n</em> = 3 and <em>p</em> = 0.07.
The probability function of a binomial distribution is:
![P(X=x) = {n\choose x}p^{x}[1-p]^{n-x}\\](https://tex.z-dn.net/?f=P%28X%3Dx%29%20%3D%20%7Bn%5Cchoose%20x%7Dp%5E%7Bx%7D%5B1-p%5D%5E%7Bn-x%7D%5C%5C)
Compute the probability that of the 3 households randomly selected at least 1 owns a sports car:

Thus, the probability that of the 3 households randomly selected at least 1 owns a sports car is 0.1956.
for an expression or relation to be a function, it must not have any x-coordinate values repeated, let's check this one

A exponent is the smaller number you will see sometimes on the top of a number or to the right of it but smaller than normal font
Answer:
y = x^2 - 4x - 6.
Step-by-step explanation:
The roots are 2 + √10 and 2 - √10, so in factor form we have:
(x - (2 + √10))(x - (2 - √10))
= ( x - 2 - √10)(x - 2 + √10)
= x^2 - 2x + √10x - 2x + 4 - 2√10 - √10x + 2√10 - √100
= x^2 -4x + 4 - 10
= x^2 - 4x - 6.