Let the experiment be the toss of six coins in a row. Let X be number of of coins that turn up heads. Determine whether the following statement is true or false: The event that X<3 and the event that X>3 are independent. Question 3 options: True False

True

Step-by-step explanation:

When a coin is tossed six coins in a row, there are a total of outcomes.

The possible number of times for a heads are {0, 1, 2, 3, 4, 5, 6}.

Let our random variable, Number of coins that turn up heads be X

X={0, 1, 2, 3, 4, 5, 6}.

The event that X<3 and the event that X>3 cannot occur simultaneously in the same outcome.

In an outcome, its either one of the following happens:

Therefore, the events that X<3 and X>3 are independent.

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.