The margin of error of the random selection is 0.29
The given parameters are:
--- the sample size
--- the standard deviation
--- the mean
--- the confidence level.
The margin of error (E) is calculated as follows:

So, we have:


The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z


Take square roots

Multiply

Approximate

Hence, the margin of error is 0.29
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Answer: 35
Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome
Answer:
√178
Step-by-step explanation:
Distance formula: 
Simply plug in your coordinates into the distance formula to find the distance between them.
Answer:
14x+42y
Step-by-step explanation:
7(2x+6y)
14x+42y
Answer:
<em>x = 1</em>
<em>y = 1</em>
Step-by-step explanation:
<u>System of Equations</u>
We are given the system of equations:
2x + y = 3
x = 2y - 1
Substituting x in the first equation:
2(2y - 1) + y = 3
Operating:
4y - 2 + y = 3
5y = 3 + 2
y = 5/5 = 1
y = 1
Since:
x = 2y - 1
Then:
x = 2(1) - 1
x = 1
Solution:
x = 1
y = 1