Answer:
Step-by-step explanation:
A suitable table or calculator is needed.
One standard deviation from the mean includes 68.27% of the total, so the number of bottles in the range 20 ± 0.16 ounces will be ...
0.6827·26,000 = 17,750 . . . . . within 20 ± 0.16
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The number below 1.5 standard deviations below the mean is about 6.68%, so for the given sample size is expected to be ...
0.66799·26,000 = 1737 . . . . . below 19.76
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<em>Comment on the first number</em>
The "empirical rule" tells you that 68% of the population is within 1 standard deviation (0.16 ounces) of the mean. When the number involved is expected to be expressed to 5 significant digits, your probability value needs better accuracy than that. To 6 digits, the value is 0.682689, which gives the same "rounded to the nearest integer" value as the one shown above.
Answer:
Step-by-step explanation:
<B is a complement of <A
=> m<A + m<B = 180°
65.2° + m<B = 180°
m<B = 180° - 65.2° =114.8°
The area of that figure is 2453.25 square feet
First, you would need to find the area of the rectangle
(L)(W)
(70)(30)
2100
Then since it is only a semi circle, the formula is pi*r^2/2
You find the area of a full circle first
(3.14)(15^2)
(3.14)(225)
706.5
Then you divide that by 2 since it’s only half a circle
706.5/2 = 353.25
Finally you add that by the area of the rectangle
2100 + 353.25 = 2453.25 square feet
Answer:
12 ft 2 in.
Step-by-step explanation:
Conversion: 1 ft = 12 in.
Add the lengths of the boards.
4 ft 10 in. + 2 ft 11 in. + 4 ft 5 in. =
= 4 ft + 2 ft + 4 ft + 10 in. + 11 in. + 5 in.
= 10 ft + 26 in.
= 10 ft + 24 in. + 2 in.
Since 1 ft = 12 in., then 24 in. = 2 ft.
= 10 ft + 2 ft + 2 in.
= 12 ft 2 in.