Answer:
The 95% confidence interval of the proportion of Americans who believe in the conspiracy is 
Step-by-step explanation:
From the question we are told that
The sample size is n =1057
The number that believe there was a conspiracy is k = 614
Generally the sample proportion is mathematically represented as
=> 
From the question we are told the confidence level is 95% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the margin of error is mathematically represented as
=> 
=> 
Generally 95% confidence interval is mathematically represented as
=> 
=>
Answer:
1. a) population of the town in 2024 = 8697
2.) the earthquake with a magnitude of 8 is a <u>100 times stronger</u> than an earthquake with a magnitude of 6.
Step-by-step explanation:
1) the population of a town was, 
in 2016.
a) Exponential growth model is given by 
where t is the time in years after 2016.
Year 2016 is when t = 0.
k = growth rate constant = 1.6% = 0.016
i) therefore the population of the town in 2024
= 
( to the nearest whole number)
2.) log (I 
M S) = magnitude of earthquake where I is the Intensity of the earthquake and S is the intensity of a standard earthquake
therefore I M S = 
therefore 
Answer: $60.00
Step-by-step explanation: First the solution: (Start form the end!!) $40.00 (the ending total) minus the $10.00 he added on, $40-$10=$30 which is half of the original total so now you have to multiply by two to get the starting balance ($60.00)!
Now for the inequality, since we don't know the beginning balance of the gift card that will be our variable.
g
Then, since he spent half of this buying coffee we would have to split our variable in half.
g/2
After that, Peter added an additional $10.00 to said gift card.
g/2 + 10 = 40
Going off of that the final inequality would be $60.00 = g/2 + 10 = 40
BAMM!! GOOD LUCK IN MATH CLASS!!!
