Football teams toss a coin to see who will get their choice of kicking or receiving to begin a game. the probability that given team will lose the toss three games in a row is 0.125. a. true b. false

a. True

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either the team loses, or it wins. The probability of the team winning the coin toss in a game is independent of any other game. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

Equally as likely to win or loss the coin toss(heads or tails).

So p = 0.5.

Three games

So

We have to find P(X = 0). So

So the answer is true.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1