Answer:
a) All of them are out of charge = 9.31x10⁻¹⁰
b) 20% of them are out of charge = 5.529x10⁻⁴
Step-by-step explanation:
This problem can be modeled as a binomial distribution since
There are n repeated trials and all of them are independent of each other.
There are only two possibilities: battery is out of charge and battery is not out of charge.
The probability of success does not change with trial to trial.
Since it is given that it is equally likely for the battery to be out of charge or not out of charge so probability of success is 50% or 0.50
P = 0.50
1 - P = 0.50
a) All of them are out of charge?
Probability = nCx * P^x * (1 - P)^n-x
Probability = ₃₀C₃₀(0.50)³⁰(0.50)⁰
Probability = 9.31x10⁻¹⁰
b) 20% of them are out of charge?
0.20*30 = 6 batteries are out of charge
Probability =₃₀C₆(0.50)²⁴(0.50)⁶
Probability = 5.529x10⁻⁴
No it is not because 15 out of 30 is half but 12 out of 20 is more than half
Answer:
D. 10 square root 3 is your answer
Step-by-step explanation:
Here is what you do.
<em>square root 30 = 3 x 2 x 5 </em>
<em>square root 10 = 2 x 5</em>
Add them together.
<em>3 x 2 x 2 x 5 x 5 </em>
<em>3 x 4 x 25.</em>
4 and 25 can come out of the square root.
<em>2 x 5 = 10</em>
10 square root 3 is your answer.
Answer:
x is equal to 2
Step-by-step explanation:
2x+4=8
2x=4
x=2
It would be $187.50 because if you set up a proportion -----2000/75 =5000/x
The proportion shows 5000 times 75
(375000)then divide 375000 by 2000