Answer:
A. True
Step-by-step explanation:
The empirical rule in statistics states that:
- 68% of the data will be within 1 standard deviation
- 95% of the data will be within 2 standard deviations
- 99.7% of the data will be within 3 standard deviations
So yes, we can state that 5% or less of the data will be more than 2 standard deviations away from the mean. Of course, statistics is not 100% certain, so this rule is not 100% right all the time. Some exceptions might result, but generally speaking, the results should follow the empirical rule.
Answer:
394.9 cm
Step-by-step explanation:
The formula for a cone's surface area is A = π r ( r + √r^2 + h^2 ).
r = radius
h = height
The Pythagorean theorem, a^2 + b^2 = c^2, will be needed to find the height.
Plug in the values.
a(unknown)^2 + 6^2 = 15^2
A + 36 = 255
255 - 36 = 189
√189 ≈ 13.7
Surface area formula, plug in the values.
A = 3.14 × 6 ( 6 + √6^2 + 13.7^2 )
*PEMDAS*
A = 3.14 × 6 ( 6 + √36 + 187.69 )
A = 3.14 × 6 ( 6 + √223.69 )
A = 3.14 × 6 ( 6 + 14.95 )
A = 3.14 × 6 ( 20.96 )
A = 3.14 × 125.76
A = 394.8864
*round to nearest tenth*
A = 394.9 cm
Hope this helps! :)
Answer:
Step-by-step explanation:
So put the 0-3 to the y2, 3-6 to the y4 and 6-9 to the y2
Answer:
55,784 oranges
Step-by-step explanation:
To fill the vats, they would need the number of oranges needed to fill one vat multiplied by the amount of vats they have.
So, the company will need a total of 55,784 oranges to fill all 76 vats.
Answer:
25
Step-by-step explanation:
4×25 =100
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