If a fair coin is tossed three times, sample = 2^3 = 8 (hhh, hht, hth, thh, htt, tht, tth, ttt) where h=head and t=tail.
Probability of getting one:
Outcomes with one head (h) = 3
P(1 h) = 3/8 = 0.375
Cot(-x) = 1 / tan(-x)
Tan(-x) * 1 / tan(-x) = 1
Answer:
<h2>At the 7th bounce, the ball reached 2.3 feet height.</h2>
Step-by-step explanation:
The given expression is

This exponential function represents the movement of a bouncing ball after being dropped.
represents the bounce number.
So, at 7th bounce means
, replacing this value in the function, we have

Therefore, at the 7th bounce, the ball reached 2.3 feet height.
Answer:
The simultaneous inequation representing the recomended storage temperature is:

Step-by-step explanation:
In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.
Bounds can be converted into Fahrenheit degrees from Celsius degrees:
(Eq. 1)
Where:
- Temperature, measured in Celsius degrees.
- Temperature, measured in Fahrenheit degrees.
Lower bound (
)


Upper bound (
)


The simultaneous inequation representing the recomended storage temperature is:

The equation of a line that passes through

and has a slope of m is

so given the point (3,1) and slope -2
(3,1), (x1,y1)
x1=3
y1=1
m=-2
the equation is