Tossing a coin is a binomial experiment.
Now lets say there are 'n' repeated trials to get heads. Each of the trials can result in either a head or a tail.
All of these trials are independent since the result of one trial does not affect the result of the next trial.
Now, for 'n' repeated trials the total number of successes is given by

where 'r' denotes the number of successful results.
In our case
and
,
Substituting the values we get,


Therefore, there are 1352078 ways to get heads if a person tosses a coin 23 times.
Answer:
a = -3.8
b = -2.6
c = 1.7
d = 4.4
e = 1.0
Step-by-step explanation:
In the figure attached, the tables are shown.
In an inverse relationship, any point (x,y) in one table is transformed to (y,x) in the other one. For example, in Table A coordinate (1, 2) is present, then in Table B (the inverse), coordinate (2, 1) must be present.
Given parameters:
Recommend wheelchari ramp slope =
Rise of the new wheel chair ramp = 22 inches
Horizontal length = 24feet
Unknown:
Is the ramp steeper than the recommended = ?
Slope is the ratio of rise to the horizontal distance covered
Mathematically;
Slope = 
Slope of the wheel chair ramp;
covert 24 feet to inches;
1 foot = 12 inches
24 feet = 24 x `12 = 288inches
Slope =
= 
The two slopes being compared are;
and
The steeper of the first one 1/12. It has a higher slope compared to the second one.
Answer:
k = - 14
Step-by-step explanation:
given that (x - 5) is a factor of the polynomial then x = 5 is a root and
x³ - x² + kx - 30 = 0 for x = 5, that is
5³ - 5² + 5k - 30 = 0
125 - 25 + 5k - 30 = 0
70 + 5k = 0 ( subtract 70 from both sides )
5k = - 70 ( divide both sides by 5 )
k = - 14