The mean ( average ) is given as 1200 hours.
The standard deviation is 200, sample size is 100.
Find the standard error:
√(200^2 / 100) = 20
Now calculate the confidence interval. For 95% the Z number is 1.96
Multiply Z by the standard error:
1.96 x 20 =39.2
Now find the range that the mean should be within:
1200 - 39.2 = 1160.8
1200 + 39.2 = 1239.2
The samples should be between 1160.8 and 1239.2 for a 95% confidence interval.
Since the average was 1050, which is below 1160.8 the bulbs are not in compliance.
Factor <span><span><span><span>2<span>x3</span></span>+<span>7<span>x2</span></span></span>−<span>3x</span></span>−18</span><span><span><span><span>2<span>x3</span></span>+<span>7<span>x2</span></span></span>−<span>3x</span></span>−18</span><span>=<span><span><span>(<span>x+2</span>)</span><span>(<span>x+3</span>)</span></span><span>(<span><span>2x</span>−3</span>)</span></span></span>Answer:<span><span><span>(<span>x+2</span>)</span><span>(<span>x+3</span>)</span></span><span>(<span><span>2x</span>−3</span><span>)</span></span></span>
Step-by-step explanation:
The parent function of the functions of the form f(x)=√x−a+b is f(x)=√x . Note that the domain of f(x)=√x is x≥0 and the range is y≥0 . The graph of f(x)=√x−a+b can be obtained by translating the graph of f(x)=√x to a units to the right and then b units up.
I hope it's helpful!
Answer:
x = 12, z = 86
Step-by-step explanation:
Two angles are called supplementary when their measures add up to 180 degrees.
(12x -58 + 13x - 62 ) = 180°
12 x + 13x -58 - 62 = 180°
25x - 120 = 180
25x = 180 + 120
x = 300/ 25
x = 12
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(z° + 13x - 62) = 180
(z° + 13(12) - 62 )= 180
(z° + 156 - 62 )= 180
(z° + 94 ) = 180
z° = 180 - 94
z = 86
