The possible outcomes for 1 HEAD and 3 TAILS are
HTTT
THTT
TTHT
TTTH
Assuming the coin is a fair coin, we have:
Probability of tossing head is 0.5
Probability of tossing tail is 0.5
Probability of tossing the coin four times for each outcome combination listed above is
HTTT = 0.5×0.5×0.5×0.5 = 0.0625
THTT = 0.5×0.5×0.5×0.5 = 0.0625
TTHT = 0.5×0.5×0.5×0.5 = 0.0625
TTTH = 0.5×0.5×0.5×0.5 = 0.0625
Hence, probability of getting three tails and one head from 4 tossing is
4×0.0625 = 0.25
Answer:
The y-coordinate of point A is 
.
Step-by-step explanation:
The equation of the circle is represented by the following expression:
(1)
Where:
- Independent variable.
- Dependent variable.
, 
- Coordinates of the center of the circle.
- Radius of the circle.
If we know that 
, 
and 
, then the equation of the circle is:
(1b)
Then, we clear within (1b):
(2)
If we know that 
, then the y-coordinate of point A is:
The y-coordinate of point A is .
Answer:
Step-by-step explanation:
Use this formula for when compounding is either not continuous or is not annually:
where P is the initial investment, r is the interest rate in decimal form, n is the number of times the compounding occurs per year, and t is the time in years. For us:
P = 5200,
r = .046,
n = 365, and
t = 11
and
and
and
A(t) = 5200(1.658408042) so
A(t) = $8623.72
Answer:
105000000
Step-by-step explanation:
Since the exponent of the scientific notation is positive, move the decimal point 8 places to the right.
