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3 years ago

Solve the second equation.2x - y = 8First, solve for (-y).--y =

Mathematics

1 answer:

kicyunya [14]3 years ago

5 0

Answer:

$-y=-2x+8\\y=2x-8$

Step-by-step explanation:

To solve, first subtract 2x from both sides.

$2x-y=8\\-y=-2x+8$

You appear to want the solution for -y, so I've included it. Given that you also want the solution for y, divide both sides by -1.

$-y=-2x+8\\y=2x-8$

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Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standar

Artyom0805 [142]

Answer:

Range = 115$

Standard Deviation = 43.76$

Variance = 1915.142$

Option A) The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

Step-by-step explanation:

We are given the data for prices in dollars for one night at different hotels in a certain region.

234, 160, 119, 131, 218, 207, 146, 141

Range:

Sorted data: 119, 131, 141, 146, 160, 207, 218, 234

$\text{Range} = 234-119 = 115\$$

Standard Deviation:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1356}{8} = 169.5$

Sum of squares of differences = 4160.25 + 90.25 + 2550.25 + 1482.25 + 2352.25 + 1406.25 + 552.25 + 812.25 = 13406

$\sigma = \sqrt{\dfrac{13406}{7}} = 43.76\$$

Variance =

$\sigma^2 = 1915.142\$$

Measure of variance for someone searching for room:

Option A) The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

5 0

3 years ago

If line AD is a tangent to circle B at point C, and m ABC = 55°, what is the measure of BAD?

nikdorinn [45]

Answer:

145°

Step-by-step explanation:

There are a couple of ways you can get there:

1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...

... ∠BAC = 90° -∠ABC = 90° -55° = 35°

Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...

... ∠BAD = 180° -35° = 145°

2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.

... ∠BAD = 55° +90° = 145°

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3 years ago

If you bought 28 shares of stock at $30/sh and sold them at $25/sh. And How much did you net after selling the shares? Was it a

Strike441 [17]

Answer:

selling price$840

it's a loss.

Step-by-step explanation:

cost price = 28× 30 = $840

selling prince =25×28=$700

since cost price is bigger than selling price, it's a loss.

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2 years ago

In a recent year, certain colleges and universities received about $268 million in aid. Ten years later, they received about $94

topjm [15]

D) 65% decrease.

I worked it out by: 268 mill - 94 mill (calculating the difference in money)
then divided that by the original 268 mill, to finally get 0.64925....

And since the money is decreasing, it is a 65% decrease.

Hope this helps, and I think it should be right - but maybe double check in case :)

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Akimi4 [234]

Friend

You can talk to me more and actually care about what I am actually telling you.

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Solve the second equation.2x - y = 8First, solve for (-y).--y =​

Solve the second equation.2x - y = 8First, solve for (-y).--y =