Answer:
(-9/8, 1/36)
Step-by-step explanation:
Midpoint Formula: 
Step 1: Find midpoint <em>x</em>
x = (1/4 + -5/2)/2
x = (-9/4)/2
x = -9/8
Step 2: Find midpoint <em>y</em>
y = (-4/9 + 1/2)/2
y = (1/18)/2
y = 1/36
Step 3: Write midpoint coordinates
(-9/8, 1/36)
Answer:
1/6<5/6
Step-by-step explanation:
1/6<5/6
Answer:
99.7%
Step-by-step explanation:
The empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
Step 1
We have to find the number of standard deviations from the mean
μ = Mean = 1800 hours
σ = Standard deviation = 25 hours
For 1725 hours
μ - xσ =
1800 - 25x = 1725
25x = 1800 - 1725
25x = 75
x = 75/25
x = 3
For 1875 hours
1800 + 25x = 1875
25x = 1875 - 180
25x = 75
x = 75/25
x = 3
Step 2
From the above calculation, the bum of standard deviations from the mean is 3
Hence, the percentage of light bulbs last between 1725 hours and 1875 hours is 99.7%
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