Answer:
Step-by-step explanation:
the 3rd one
Right triangle because a2<span> + b</span>2<span> = c</span><span>2</span>
The confidence interval for confidence level of
is

where
is the sample mean,
is the critical value for the given confidence level,
is the standard deviation of the population, and
is the sample size. The margin of error is the
term.
a) For a confidence level of
, we have
. So in order to have a margin of error of at most 25 points, we have

so Raina should collect a sample of at least 269 students.
b) A confidence interval with a higher confidence level would more closely approximate and reflect the population, so it stands to reason that Luke should collect a larger sample than Raina to meet his 99% confidence spec.
c) For a confidence level of
, we have
. Then the margin of error would at most satisfy

so that Luke should collect a sample of at least 666 students.
Answer:
18500 is the initial value
Every year they increase by a factor of 1.03
Step-by-step explanation:
This is written in the form
y = ab^x where a is the initial value and b is the growth rate/decrease
y = (18500) (1.03)^t
The initial value is 18500
The students will increase by 1.03 - 1 = .03
The factor of increase is what they multiply by which is 1.03
Answer:
In the billions.
Step-by-step explanation:
000 is hundreds
210 is thousands
543 is millions
876 is billions
9 is trillions