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
The rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
<h3>What is a quadratic equation?</h3>
Any equation of the form Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Let's suppose the rate of the current = r
The time it takes to go downstream + 4 hours = time to go upstream
As we know the:
Now,
After solving:
After cross multiplication
44(8+r) - 44(8-r) = 3(8+r)(8-r)
88r = 3(64 - r²)
3r² + 88r - 192 = 0
After solving the above quadratic equation, we get:
r = 2.03 or
r=−31.37 (reject as it is negative)
So, the r =2.03 mph
Thus, the rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ1
Answer: C
Step-by-step explanation: 8 (1/3) 16 (2/3) 24 (3/3)
12 x 6 equals 72 so 72 + 7 = 79 :)
Your answer is 79
Answer:
It is 33.18
Step-by-step explanation: first you do 0.05 x 4= 0.2 then you add all the other number which = 33.18