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
This is the concept of simultaneous equations; We are required to create the equations modelling the above information.
Suppose the number of movie tickets was x and the number of meal tickets was y.
Therefore;
Total number of tickets was:
x+y=22
Total amount earned was:
0.5x+2y=25
The simultaneous equations representing the information is:
x+y=22
0.5x+2y=25
3+ 0.15= 3.15?
or
3x-0.45=9?
Hope this helps. :)
Hi there
The formula is
A=p (1+r)^t
A future value 11700
P present value 900
R interest rate 0.0875
T time?
We need to solve for t
T=log (A/p)÷log (1+r)
So
T=log(11,700÷900)÷log(1+0.0875)
T=30.6years round your answer to get
T=31 years
Hope it helps
Answer:
D: 768
Step-by-step explanation:
First, he divides a piece of paper in half.
He gets two pieces.
Next, he cuts each of the pieces into three parts.
Thirdly, he cuts each of the 6 pieces into 8 pieces.
Lastly, he divides each piece into 16 parts.
He has 768 pieces in the end. (D)
