Answer:
a. 0.00069
b. 0.063
c.0.00095
Step-by-step explanation:
a. Probability that exactly 5 men consider themselves professional baseball fans:-
Here, there's a 63/100 or 63% possiblity that five (5) men consider themselves fans and of course, a 37/100 possibility that the other 5 men consider themselves non fans. Each of these must be multiplied and then the result will be the probability that exactly five men consider themselves baseball fans:-
(63/100)^5 × (37/100)^5
= 0.09924 × 0.006934
= 0.000688
Therefore the probability that 5 consider themselves baseball fans is 0.00069
b. The probability that at least 6 are fans:-
In this case, each of the 6 men have some 63/100 or 63% possibility of being a fan.
We therefore multiply 63/100 by itself up to six times
i.e 63/100 × 63/100 × 63/100 × 63/100 × 63/100 × 63/100
or (63/100)^6
= 0.06252
The probability that at least 6 men consider themselves professional baseball fans is 0.063
c. Probability that less than four consider themselves baseball fans:-
In this scenario, it means that at least 7 men out of the ten do not consider themselves professional baseball fans. We then simply multiply 37/100 by itself up to seven times. It isn't too necessary what the remaining three are.
= (37/100)^7
= 0.0009493
Therefore the possibility that less than four men do not consider themselves baseball fans is 0.00095
Answer:
The equation of the line in slope-intercept form is:
y = -1/6x + 4
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the points on the line graph
Determining the slope between (0, 4) and (6, 3)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 4] / [6 - 0]
= -1 / 6
Thus, the slope of the line = m = -1/6
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = -1/6 in the slope-intercept form
y = mx + b
y = -1/6x + 4
Therefore, the equation of the line in slope-intercept form is:
y = -1/6x + 4
y2-y1 -8-24 -32 -1*2*2*2*4 16
M= --------- = ----------- = ------ = --------------- = ------
x2-x1 16-(-18) -2 -1*2 1
Answer:
63 it's the closest
Step-by-step explanation:
