Acomputer is used to pick four letters, one after the other, from {p, q}. each letter can be picked more than once and has the same chance of being picked.

the possible outcomes for this experiment are shown in the table.

pppq ppqp pqpp
qppp ppqq qqpp pqqp
qppq qpqp pqpq qqqp
qqpq qpqq pqqq

p( all p or all q) =

a.0.0250
b.0.1250
c.0.5000
d.0.5625
e.0.6250

B. 0.1250

Step-by-step explanation:

Given: A computer is used to pick four letters, one after the other, from {P,Q}.

From the given possible outcomes for this experiment, the number of outcomes having all P or all Q (favorable outcomes)= 2

Total number of outcomes = 16

Now, the probability of picking four letters such that they are all P or all Q is given by :-

sine

step-by-step explanation:

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.