Answer:
The probability of observing between 43 and 64 successes=0.93132
Step-by-step explanation:
We are given that
n=100
p=0.50
We have to find the probability of observing between 43 and 64 successes.
Let X be the random variable which represent the success of population.
It follows binomial distribution .
Therefore,
Mean,
Standard deviation , 
![\sigma=\sqrt{100\times 0.50(1-0.50)]](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B100%5Ctimes%200.50%281-0.50%29%5D)
Now,
Hence, the probability of observing between 43 and 64 successes=0.93132
Answer:
When the price of a ticket = $0 or $40, there will be no revenue.
The revenue will be $500 if each ticket cost $37.3 or $2.68
Step-by-step explanation:
Let R(p) = p(200-5p)
when R(p) = 0
p(200-5p) = 0
p = 0 or 200-5p = 0
When the price of a ticket = $0 or $40, there will be no revenue.
when R(p) = 500
200p - 5p² = 500
5p² - 200p + 500 = 0
p = $37.3 or $2.68 (3 sig. fig.)
The required prices are $37.3 and $2.68
Answer:
1) 4 2)7
Step-by-step explanation:
1) If we divide 3.75/3=1.25 which is the amount of time she takes per yard so if we add another yard to what she has already done we find she only could do one more yard in 5 hours 3.75+1.25=5.00 So she can only rake 4 yards in 5 hours
2) If we divide 20.25/3=6.75 we find that each ticket is $6.75 so we must divide that by 47.25 to get the amount of tickets 47.25/6.75=7
Answer: 17/50
Step-by-step explanation:
First, to add fractions, we must find a common denominator, in this case, 100.
Then, we must make the fractions being added all have the common denominator.
So, we must multiply 3/10 * 10/10, which equals 30/100
30/100 + 4/100
Then, just add across the numerator to get 34/100, which can be simplified to 17/50
Answer:
since M lies between point A and B , we came to know that,
M(4,6) =(x,y)
A(-2,-1)=(x1 ,y1)
B( _, _ )=(x2,y2)
Now using mid point formula,
x=x1×x2÷2 y=y1+y2÷2
so, point B is (10,13)
