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vova2212 [387]
3 years ago
7

19 less than a number is the same as the sum of half the number and six. What is the number?

Mathematics
1 answer:
Arada [10]3 years ago
5 0

Step-by-step explanation:

x-19=1/2x+6

50-19= 31

50/ 1/2 = 25 + 6 = 31

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An umbrella sprinkler is positioned on a ceiling at a point whose x- coordinate is 0. Negative values of a indicate distances, i
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Answer:

-1/4x² + 3

Step-by-step explanation:

Given that:

Path of sprinkler is modeled by the quadratic function :

w(x) = -1/4(x^2 -12 )

w(x) = height of the water, in meters, at position x

The height of ceiling as a constant or Coefficient = w(x)

Expanding w(x)

-1/4(x^2 -12 )

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-1/4x² + 3

The height of ceiling is -1/4x² + 3

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3 years ago
A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot.
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Let us solve for the total area. In this problem, we solve area 1 (the rectangle in the middle) and the area 2 ( the two half circle on the sides).

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Total cost is $748.88.
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3 years ago
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A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s
RoseWind [281]

Answer:

There is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean is:

CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence interval for the average height of male students at a large college is, (63.5 inches, 74.4 inches).

The 95% confidence interval for the average height of male students (63.5, 74.4) implies that, there is a 0.95 probability that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

Or, there is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

4 0
4 years ago
Oceanside Bike Rental Shop charges a 17 dollar fixed fee plus 7 dollars an hour for renting a bike. Alyssa paid 66 dollars to re
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Answer:

4 hours

Step-by-step explanation:

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