Answer:
You are expected to lose $0.05 (or win -$0.05)
Step-by-step explanation:
Since the roulette wheel has the numbers 1 through 36, 0, and 00, there are 38 possible outcomes.
In this bet, you are allowed to pick 3 out of the 38 numbers. Thus, your chances of winning (P(W)) and losing (P(L)) are:
The expected value of the bet is given by the sum of the product of each outcome pay by its probability. Winning the bet means winning $11 while losing the bet means losing $1. The expected value is:
Therefore, with a $1 bet, you are expected to lose roughly $0.05
Answer:
3x+5y+12=0
Step-by-step explanation:
This information is given in the question:
m=-3/5
x1=-4
y1=0
The formula for the equation of a line is:
y-y1=m (x-x1)
From this we can make a substitution
y-0=-3/5 (x--4)
Next simplify
y=-3/5 (x+4)
Multiply both sides of the equation by 5
5y=-3x-12
Make the right side of the equation equal to zero
3x+5y+12=0
This is the equation of the line in general form.
Answer:
56.7°
Step-by-step explanation:
We solve this above question using the Trigonometric function of Sine
sin x = Opposite side/Hypotenuse
Opposite = 66mm
Hypotenuse = 79 mm
sin x = 66/79
x =arc sin(66/79)
x = arcsin(0.8354430379746836)
x = 56.661998553°
Approximately = 56.7°
Answer with explanation:
Given : The heights of a certain population of corn plants follow a normal distribution with mean 
and standard deviation 
a) Using formula 
, the z-value corresponds to x= 135 will be
At x= 155, 
The probability that plants are between 135 and 155 cm tall :-
Hence, 34.73% of the plants are between 135 and 155 cm tall.
b) Sample size : n= 16
Using formula 
, the z-value corresponds to x= 135 will be
At x= 155, 
The probability that plants are between 135 and 155 cm tall :-
Hence,The percentage of the samples would the sample mean height be between 135 and 155 cm.= 93.12%
