Answer:
32%
Step-by-step explanation:
3 girls like biology, 8 like chem and the rest prefer physics. 28 people like chemistry, and 24 boys like physics. This leaves 29 boys and 3 girls liking bio.
Answer:
I could be wrong but the coffee is 200 and the hot choclet is 266.666666667
Step-by-step explanation:
I used math and a calculator.
Answer:
Step-by-step explanation:
12x-20=6(x-20)-9x
Opening bracket
12x - 20 = 6x - 120 - 9x
Collecting like terms
12x - 6x + 9x = -120 + 20
15x = -100
Dividing by 15
15x/15 = -100/15
x = -20/3
x = - 6 2/3
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.