If a person tosses a normal 6- sided die, what is the
probability that he will not roll a 2?

 The required probability is 0.83.

Step-by-step explanation:  Given that a person tosses a normal 6- sided die.

We are to find the probability that he will not roll a 2.

Let  S denote the sample space for the experiment and E denote the event of not rolling a 2.

Then, S = {1, 2, 3, 4, 5, 6}  and  E = {1, 3, 4, 5, 6}.

That is, n(S) = 6  and  n(E) = 5.

Therefore, the probability of event E is given by

Thus, the required probability is 0.83.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

0.038

step-by-step explanation: