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You have to make them have their least common denominator to add or subtract, in this case 36.
Multiply 1/12 by 3, to get the denominator 36: 3/36.
Multiply 7/9 by 4, to get the denominator 36: 28/36.
Now add the numerators: 3+28=31, 31/36 is as simplified as possible so your answer is 31/36 :) I hope this helps :)
By Using the Empirical formula we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
<h3>What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches?</h3>
According to the empirical rule :
(1) 68% of the measures should come within 1 standard deviation of the mean.
(2 95% of the measures should come within 2 standard deviations of the mean.
(3) 99.7% of the measures should come within 3 standard deviations of the mean.
So we can see in this problem
The mean is 7 inches.
The standard deviation is 1.2 inches.
4.6 = 7 - 2(1.2)
9.4 = 7 + 2(1.2)
The measures are within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
Thus by using the Empirical Rule we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
To know more about standard deviation follow.
brainly.com/question/475676
Perimeter of the base = 8 + 5 + 5 = 18 ft
Height = 7 ft
Base area = 1/2 x 8 x 3 = 12 ft²
Surface area = (18)(7) + 2(12) = 150 ft²
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Answer: 150 ft²
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The above answer is according to the worksheet but I will present it in another way for you to understand better.
The figure has 5 sides
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Bottom Triangle
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Area = 1/2 x base x height
Area = 1/2 x 8 x 3
Area = 12 ft²
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Top Triangle
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Top Triangle = Bottom Triangle
Top Triangle = 12 ft²
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3 Rectangles on the sides
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Area of 1st Rectangle = Length x Width
Area of 1st Rectangle = 7 x 5 = 35 ft²
Area of 2nd Rectangle = 7 x 5 = 35 ft²
Area of 3rd Rectangle = 8 x 7 = 56 ft²
Total area of the rectangles = 35 + 35 + 56 = 126 ft²
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Total Surface Area
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126 + 12 + 12 = 150 ft²
<em>(*Area of the 3 rectangles + top triangle + bottom triangle)
</em>
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Answer: 150 ft²
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Answer:
6:1:2.
Step-by-step explanation:
If Ben's score is x then Abel's is 6x and Cal's is 6/3 = 2x.
Then Abel's to Ben's to Cal's
= 6x : x : 2x
= 6:1:2.