The problem is actually already factored for you. They are asking you to just set the equation to zero. Find the zeros.
Answer:
(0.095, 0.165)
Step-by-step explanation:
Confidence interval :
Phat ± margin of error
Margin of Error = 0.035
Phat = x / n
Phat = 11 / 85 = 0.1294117
Hence,
Phat ± 0.035
Lower boundary = 0.1294117 - 0.035 = 0.0944
Upper boundary = 0.1294117 + 0.035 = 0.1644
(0.0944, 0.1644)
Answer:
24
Step-by-step explanation:
first you multiply 200 by 12, Then you divide that by 100. your final product is 24, hope that helps
There are 16 boxes total, and 45 wheels total.
we know that each bicycle/tricycle is in it's own box.
i'm going to use the variable "b" for bicycle and "t" for tricycle
b + t = 16
(because b is the amount of bicycles and t is the amount of tricycles)
now we know that there are 45 wheels total.
there are 2 wheels for a bicycle and 3 wheels for a tricycle
2b + 3t = 45
now we have a system of equations
b + t = 16
2b + 3t = 45
You can solve this multiple ways, but I'm going to use substitution.
b + t = 16 can also be written as b = 16 - t (if you subtract both sides by t)
then we can substitute this b = 16 - t into the other equations
2(16 - t) + 3t = 45
32 - 2t + 3t = 45
32 + t = 45
t = 13
now you can plug that back into the original equations
b + 13 = 16
b = 3
2b + 3(13) = 45
2b + 39 = 45
2b = 6
b = 3
If you have any more questions, feel free to ask!
