Answer:
a) It can be used because np and n(1-p) are both greater than 5.
Step-by-step explanation:
Binomial distribution and approximation to the normal:
The binomial distribution has two parameters:
n, which is the number of trials.
p, which is the probability of a success on a single trial.
If np and n(1-p) are both greater than 5, the normal approximation to the binomial can appropriately be used.
In this question:
So, lets verify the conditions:
np = 201*0.45 = 90.45 > 5
n(1-p) = 201*(1-0.45) = 201*0.55 = 110.55 > 5
Since both np and n(1-p) are greater than 5, the approximation can be used.
Answer:
They can invite 136 while staying in budget
Step-by-step explanation:
Firstly, you know they will have to pay an $80 cleaning fee, therefore, you can subtract 80 from 5,000:
5,000-80 = 4,920
After doing this, you can take 4,920 and divide it by 36 (the price per person).
4,920/36 = 136.67
Because you can not have .67 of a person, your closest number you can use is 136.
leaving them with $24
3(2x-4)=2(x+4)
6x-12=2x+8
6x-2x=8+12
4x=20
x=20/4
x=5
Answer:
60 barrels
Step-by-step explanation:
y = # of barrels; x = minutes
worker: y = 12x
old line: y = 2x + 50
12x = 2x + 50
10x = 50
x = 5
y = 12(5) = 60
y = 2(5) + 50 = 60
60 barrels
To round 389,422 to the ten thousand, you need to go to the second number which is 8 and round it to the right. To the right of 8 is 9 so if a number is more than 5 you round 8 to 9. Then all the numbers after 8 turn into zeros
So... your answer is:
390,000
Hope I helped! ♥
