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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For a 30-60-90 triangle
if the shorter leg (oposite 30 degrees) is x then the other leg is x√3 and the hyptonuse is 2x
so
hyptonuse=8
8=2x
4=x
longer leg is 4√3, yep
so shorter leg or height will be 4 units
Answer:x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4−3x=8−4x
4+−3x=8+−4x
−3x+4=−4x+8
Step 2: Add 4x to both sides.
−3x+4+4x=−4x+8+4x
x+4=8
Step 3: Subtract 4 from both sides.
x+4−4=8−4
x=4
Answer:
<h2>4</h2>
Step-by-step explanation:
<em>Look at the picture.</em>
<em />
<em>At the beginning we have to calculate what part of the angle 360° is the given angle 75°.</em>
<em />
<em />
<em>The same part of the circumference of the circle is the arc defined by this central angle.</em>
The circumference <em>C = 20</em>.
Therefore
