A
coin
is
flipped
three
times.
james
is
declared
the
winner
if
there

are
at
least
2
tails.
peter
is
declared
the
winner
if
there
is
a
head

flipped.
a. how
many
different

outcomes
are
there?

b. what
is
the
probability
that
james
wins?

c. what
is
the
probability
that
peter
wins?

d. is
the
game
fair?

e. are
there
any
outcomes
where
the
game
would
be
tied?

f. are
there
any
outcomes
where
no
one
would
win?

g. can
you
come
up
with
a
similar
game
that
would
never

result
in
a
tie
and
be
fair
at
the
same
time?

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.