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blondinia [14]
2 years ago
8

Solve h=vt-gt^2, for v

Mathematics
2 answers:
Kruka [31]2 years ago
8 0

Answer:

v = (h/t) + gt.

Step-by-step explanation:

h = vt - gt^2

vt = h + gt^2

v = (h + gt^2) / t

v = (h/t) + gt.

Katarina [22]2 years ago
3 0

Answer:

  v=\dfrac{h+gt^2}{t}

Step-by-step explanation:

As with any "solve for" problem, you undo what has been done to v, in reverse order. In this equation v has been ...

  • multiplied by t
  • had gt^2 subtracted from the product

So, the first step is to undo the subtraction by adding gt^2 to the equation:

  h +gt^2 = vt

Now, we undo the multiplication by dividing by the coefficient of v.

  (h +gt^2)/t = v

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Answer:

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

Step-by-step explanation:

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.  

The confidence interval is given by

CI = \bar{x} + t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\

Where \bar{x} is the mean weight \sigma is the standard deviation t_{\alpha/2} is the critical value from t-table and n is the sample size.

The term t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) is known as margin of error.

As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).

7 0
2 years ago
Raya buys a van for £8500 plus VAT at 20%
asambeis [7]

They buy the van for £8,500 + VAT 20%:

Total paid for the van = £8,500 x 1.20 = £10,200

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To find the amount of deposit, subtract the total payments from total cost:

£10,200 - £6,375 = £3,825

The ratio of deposit to the payments is: 3825 : 6375

Reduce the answer by dividing both numbers by 75:

3825/75 = 51

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The ratio becomes: 51/85

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2 years ago
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Step-by-step explanation:

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Ivahew [28]

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2 years ago
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nadya68 [22]

Answer:

15%

Step-by-step explanation:

To find the percent increase, use the equation:

percent of increase=<u>amount of increase</u>

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The amount of increase is 92-80 = 12.  The original amount of 80; this gives us

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