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ale4655 [162]
2 years ago
6

Suppose that y varies directly with x

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
6 0

Answer:

  25/6

Step-by-step explanation:

The direct variation tells you that y is proportional to x. That means a reduction by a factor of 5/6 as x changes from 6 to 5 will result in a reduction of y by the same factor.

  y = (5/6)(5) = 25/6

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83/100 is 0.83 in fraction form 
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Solve x − 2y = 3 for x.
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Consider an urn containing 8 white balls, 7 red balls and 5 black balls.
weqwewe [10]

Answer + Step-by-step explanation:

1) The probability of getting 2 white balls is equal to:

=\frac{8}{20} \times \frac{7}{19}\\\\= 0.147368421053

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3) The probability of getting at least 72 white balls is:

=C^{72}_{150}\times \left( \frac{8}{20} \right)^{72}  \times \left( \frac{7}{20} \right)^{78}  +C^{73}_{150}\times \left( \frac{8}{20} \right)^{73}  \times \left( \frac{7}{20} \right)^{77}  + \cdots +C^{149}_{150}\times \left( \frac{8}{20} \right)^{149}  \times \left( \frac{7}{20} \right)^{1}  +\left( \frac{8}{20} \right)^{150}

=\sum^{150}_{k=72} [C^{k}_{150}\times  \left( \frac{8}{15} \right)^{k}  \times \left( \frac{7}{15} \right)^{150-k}]

5 0
1 year ago
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The Gilbert's are designing a rectangular patio. The patio has an area of 432 square feet. The width of the patio is 3/4 it's le
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Represent the unknowns. 
<span>Let x = length </span>
<span>since the width is 3/4 of the length, </span>
<span>Let (3/4)x = width </span>

<span>Recall that the area of rectangle is just width multiplied by the length, </span>
<span>A = w * l </span>
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<span>432 = (3/4)x * x </span>
<span>432 = (3/4)x^2 </span>
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<span>576 = x^2 </span>
<span>Get the square root of both sides, </span>
<span>x = 24 feet (length) </span>
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