How does the slope formula help you classify figures

1 answer:

8 0

Using the distance formula, you can determine the lengths of the sides of the shape. This will help determine if triangles are equilateral, isosceles or scalene; or if quadrilaterals are squares, rectangles, rhombi, or isosceles trapezoids; or if other polygons are regular polygons. The slope formula will tell help you determine if two sides are parallel. In a quadrilateral, this will help you determine if the figure is a parallelogram or a trapezoid.

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The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1600 vo

Arturiano [62]

Answer:

Test statistic = -2.44

There is enough evidence to support the strategist's claim.

Step-by-step explanation:

H0 : p = 0.41

H1 : p < 0.41

pˆ = 0.38

Test statistic :

z=pˆ−p/√p(1−p)/n

Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600

Z = - 0.03 / √0.0001511875

Z = - 0.03 / 0.0122958

Z = - 2.4399

Test statistic = -2.44

The Pvalue :

P(Z < -2.44) = 0.0073436

α - level = 0.02

If Pvalue < α ; Reject H0

0.0073436 < 0.02 ; We reject H0

Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.

8 0

2 years ago

The half-life of a certain radioactive material is 78 hours. An initial amount of the material has a mass of 790 kg.. Write an e

adoni [48]

<span> half life i= 78 hours
amount after 78 hours is 395 kg:
395 = 790e^(k*78)

Dividing by 790 and taking natural log
ln (395/790) = (k*78)
-0.6931 = 78k
-0.00888 = k

lets calculate how much is left after 18 hours:
Amount(18)
= 790e^(-0.00888*18)
Amount = 673.301 kg
hope this helps</span>

4 0

2 years ago

Read 2 more answers

How do you write 5.3 * 104 in standard form?

mixer [17]

Multiply 5.3 by 104.

Answer: 551.2

3 0

2 years ago

This bar graph shows the money earned from the sale of skateboards one Saturday at four stores. What can you tell from the infor

-BARSIC- [3]

Answer:

its D <3