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balu736 [363]
3 years ago
6

According to the Triangle Inequality, the length of the longest side of a triangle must be less than the sum of the length of th

e other two sides. The two shortest sides of a triangle measure 3/10 and x + 1/5, and the longest side measures 3/2x
Mathematics
1 answer:
Tresset [83]3 years ago
4 0

x has to equal 1. 3/10 + 1/5 = 1/2

the equation is now 1/2 + x = 1 1/2x

x = 1

1 1/2 = 1 1/2

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+or-6

Step-by-step explanation:

This is a trick question. The answer would be the first choice since you're multiplying -6 by +or-6, meaning that it could still end up as a negative or a positive.

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Determine the point estimate of the population mean and margin of error for the confidence interval with lower bound 7 and upper
djverab [1.8K]

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Point estimate is 16 and Margin of error is 9

Step-by-step explanation:

The point estimate is given by the following formula:

Point estimate = (Lower Bound + Upper Bound) / 2

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Margin of error = (Upper Bound - Lower Bound) / 2

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6 0
3 years ago
There are 7 1/2 bottles of lemonade. Each bottle holds 1 5/6 quarts. How many quarts of lemonade are there?
erik [133]

Answer: There are 13³/₄ quarts of lemonade.

In decimal form, that is 13.75 quarts.

Step-by-step explanation:

Multiply 7 1/2 times 1 5/6

It may be good to change the mixed numbers to improper fractions:

7¹/₂ becomes 15/2  and 1⁵/₆ becomes 11/6

15/2 × 11/6 = 165/12

Changing that back to a mixed number involves dividing

165÷12 = 13 with a remainder of 9.

Make a fraction of the remainder as the numerator and 12 as the denominator. 9/12.

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Assemble the mixed number: 13³/₄

<em>Another way is to change the fractions to decimals and calculate:</em>

<em>7.5 × 1.833 = 13.7475.  Round to 13.75 and change back to a fraction if required.</em>

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3 years ago
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