The answer is 12/30.
We have 12 red marbles and 30 marbles in total, so the probability is red marbles/total marbles=probability of getting a red marble!
Answer:
1.199 ≤ x ≤ 1.201
Step-by-step explanation:
You want ...
|y -7| ≤ 0.005
Substituting the expression for y, you have ...
|5x+1 -7| ≤ 0.005
|x -1.2| ≤ 0.001 . . . . . simplify, divide by 5
-0.0001 ≤ x -1.2 ≤ 0.001 . . . . . "unfold" the absolute value
1.199 ≤ x ≤ 1.201 . . . . . . . . . . . .add 1.2
The answer to this is 7.5
Formula applied: p+/- Z*sqrt (p(1-p)/N)
Where
p=probability of those who will vote for candidate a = 120/400 = 0.3
Z = Critical value at 95% confidence interval = 1.96
N = Size of the sample = 400
Substituting;
Interval = 0.3+/- 1.96* sqrt (0.3(1-0.3)/400) = 0.3+/-0.045
Interval of population who will vote for candidate a at 95% confidence interval
= 0.3+0.045 to 0.3-0.045
=0.345 to 0.255 of the total population