Answer:
5/32
Step-by-step explanation:
If a coin if flipped five times with four heads, then it has exactly one tail. The number of way to arrange four heads and one tail are as follows:
T H H H H
H T H H H
H H T H H
H H H T H
H H H H T
Essentially, there are five way because there are five "positions" where the tail could be.
Then, you need to find the total amount of possibilities for flipping a coin five times. Every time you flip it, there are two possibilities- heads and tails. Therefore, for five flips, the total amount of possibilities is
2x2x2x2x2 = 32
You know that
probability= # of desired outcome
----------------------------------
# of total outcomes
So the probablity is 5/32.
Answer:
x = 7, y = 6
Step-by-step explanation:
solve for y for the first equation
2x + y = 20
-2x -2x , eliminate 2x
y = 20-2x
now that we have found y, substitute the y in for the second equation
-5y = -6x + 12
-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5
-100+10x = -6x + 12, we multiplied everything from the parathesis by -5
+100 + 100, eliminate -100
10x = -6x + 112
+6x +6x , eliminate 6x
16x = 112 , solve for x
x = 7
then y = 20 - 2x = 20 - 2*7 = 6
check:
2 * 7 + 6 = 20
20 = 20
-5 * 6 = -6 * 7 + 12
-30 = -42 + 12
-30 = -30
Answer:
508
Step-by-step explanation:
28*16= 448
6*6= 36
4*6= 24
448+36+24= 508
It's C I'm pretty sure and this in English not math
Answer:
a) 16.82 mg
b) 24 days
Step-by-step explanation:
Formula for exponential growth is given as:
Where A is the final population
is the initial population
b is the growth factor
c is the time taken for the growth 'b'
t is the amount of time
Here, We are given the following:
= 5 mg
b = 2 (Given because it doubles)
c = 4 days
a) A = ?
Using the formula:
b) Given
A = 320 mg
t = ?
Using the above formula again:
So, the answers are:
a) 16.82 mg
b) 24 days