The answer would be f(x)= 15
The margin of error of the random selection is 0.20
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 99% confidence level is 2.576.
Substitute 2.576 for z


Take square roots

Multiply

Approximate

Hence, the margin of error is 0.20
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Answer:
x = 20°
y = 30
Step-by-step explanation:
The triangle given on close inspection, it is an equilateral triangle.
Each angle in an equilateral triangle is equal. Likewise, each side is equal.
Thus;
16 + y = 46
y = 46 - 16
y = 30
The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.
Thus, the smaller angle there is;
180 - (80 + 60) = 40°
Because sum of angles in a triangle is 180°
Now, x + 40 = 60°
Since that's also an angle of an equilateral triangle.
x = 60 - 40
x = 20°
Answer:
Step-by-step explanation:
This is simplest if we subtract the area of the missing rectangle from the area of a complete rectangle.
A=9(3+6+3)-2(6)
A=9(12)-12
A=108-12
A=96 cm^2
A group of men have x dollars each, then they all want to buy something that costs $15 dollars, they group their money and pay up, then they have $10 left, how much did each man start with?