The probability of spinning a prime number and not flipping heads will be given as follows:
P(Prime)*P(Tails)
P(Prime)=3/5
P(Tails)=1/2
Thus
P(Prime) and P(Tails)
=3/5×1/2
=3/10
Answer:
Step-by-step explanation:
We know that for two similar matrices
and
exists an invertible matrix
for which
[/tex]
∴ 
Also 
and 
∴
so, 
Lets say that the two unknown integers are

and

.
We know the following things about

and

:


And, we want to find

.
To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:

So, given what we know about the unknown integers, the previous can be written as:

We can easily solve for

:
The answer is 168.
Another approach to solve the problem is, from the two starting equations, compute the values of

and

, which are 12 and 14, and directly compute their product; however, the approach described is more elegant.
Answer:
9 min
Step-by-step explanation.
half of ten is 5 and half of 8 is 4 and 4 + 5 = 9