percent of the observations lie within plus and minus 2.5 standard deviations of the mean is 84%
according to Chebyshev's theorem k=2.5
Chebyshev theorem:
The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous other probability distributions can be applied with this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem.
This indicates that 1 - of the distribution will be close to the mean, or within k standard deviations.
Therefore, 1 -
⇒ 1-
⇒1-
⇒
⇒0.84
percent of the observations lie within plus and minus 2.5 standard deviations of the mean is 84%
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Answer:
48
Step-by-step explanation:
You times 8 by 3 to get 24. Then you multiply 24 by 3 to get 48
Answer:
x = 5 or x = - 1/2
Step-by-step explanation:
2x² - 9x-5 = 0
(x -5) (2x + 1) = 0
x = 5 or x = - 1/2
Answer:
The answer is $0.69. This is because there are 32 ounces in the bottle, and $22.08/32=0.69, or $0.69.
Step-by-step explanation:
The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.
In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means
(1) <em>x</em> = 48 √2
(2) 88 = √2 <em>x</em> → <em>x</em> = 88 / √2 = 44 √2
You could also set up trigonometric equations to solve for <em>x</em> in each case:
(1) cos(45°) = 48 / <em>x</em> → <em>x</em> = 48 / cos(45°) = 48 / (1 / √2) = 48 √2
(2) cos(45°) = <em>x</em> / 88 → <em>x</em> = 88 cos(45°) = 88 (1 / √2) = 44 √2