Which figure must be a trapezoid? A.
a quadrilateral with no congruent angles

B.
a quadrilateral with no congruent sides

C.
a quadrilateral with no right angles

D.
a quadrilateral with exactly one pair of parallel sides

The selling price is rs. 13,702.5

Step-by-step explanation:

The formula of the profit is ⇒ profit = selling price - cost price

• A lawn mower bought at rs. 12,600
• There is rs.450 as transportation charges
• The profit on it is 5%

We need to find its selling price

∵ A lawn mower bought at rs. 12,600

∵ There is rs. 450 as transportation charges

- The find the total cost of it add the buying price and the

   transportation charges

∴ The total cost of the lawn mower = 12600 + 450

∴ The total cost of the lawn mower is rs. 13050

∵ The profit on it is 5%

∴ The profit = 5% of the cost price

∴ The profit = 5% × 13050 = × 13050

∴ The profit = 652.5

∴ The profit is rs. 652.5

∵ profit = selling price - cost price

- Substitute the values of the profit and the cost price in the

  formula above

∴ 652.5 = selling price - 13050

- Add 13050 to both sides

∴ 13702.5 = selling price

∴ The selling price is rs. 13702.5

The selling price is rs. 13,702.5

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Answer:  The correct option is

(A) Reflect over the y-axis, reflect over the x-axis, rotate 180°.

Step-by-step explanation:  Given that the co-ordinates of the vertices of rectangle ABCD are A(-4, 1), B(-4, 2), C(-1, 2) and D(-1, 1).

We are to select the set of reflections and rotations that would carry rectangle ABCD onto itself.

We see that if a point (x, y) is first reflected across Y-axis, its co-ordinates becomes

(x, y)   ⇒    (-x, y).

Now, if the new point is reflected across X-axis, then its co-ordinates becomes

(-x, y)  ⇒  (-x, -y)

and finally if we rotate the point by 180 degrees, its co-ordinates becomes

(-x, -y)  ⇒  (x, y).

That is, after these three transformations, each of the vertex of rectangle ABCD, that is, A(-4, 1), B(-4, 2), C(-1, 2) and D(-1, 1) come back to its original position.

Thus, the required set of reflections and rotations would carry rectangle ABCD onto itself is

Reflect over the y-axis, reflect over the x-axis, rotate 180°

Option (A) is CORRECT.

Answer:

A.

Step-by-step explanation:

Reflect in the y-axis.

this takes it to the first quadrant.

Reflect in the  x-axis.

To the fourth quadrant

Rotate through through 180 degrees.

Back to its original location.

The difference between mean with outlier and mean without outlier is 0.93

Step-by-step explanation:

Total months are 12

So,

n=12

Sum of all values = 493.78

The mean is given by:

The mean with outlier is: 41.148

Now to calculate the mean without outlier

We will subtract the outlier value from total sum

The outlier is 51.32 so the new sum will be: 493.78-51.32 =442.46

Total number of values = 12-1 = 11

The mean without outlier will be:

Now the difference between both means is:

The difference between mean with outlier and mean without outlier is 0.93

Keywords: Mean, Average

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Answer:

It would be 0.93

Step-by-step explanation:

Trust me, I got it right on my test FLVS.