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2 years ago

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The area of a triangle is 3.6 cm2. If the triangle has a base of 6 cm, what is the height?

1 answer:

Allisa [31]2 years ago

7 0

The area of a triangle can be calculated using the following equation:

A = 1/2 (B x H)

Where B is the dimension of the base and H is the height of the triangle.

Since the area is known and the dimension of the base is also known, substitute the values into the equation to find the height:

3.6 cm2 = 1/2 (6 cm) (H)

Solving yields an answer of 1.2 cm. Hence the height is 1.2 cm.

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2(x+4y) is the equivalent expression.

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Then 2x + 8y would be 18

Same thing for 2(x+4y)

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Answer:

Using a formula, the standard error is: 0.052

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Sample A Sample B

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Solving (a): Standard error using formula

First, calculate the proportion of A

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$SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}$

$SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}$

$SE_{p_A-p_B} = \sqrt{0.00274}$

$SE_{p_A-p_B} = 0.052$

Solving (a): Standard error using bootstrapping.

Following the below steps.

Open Statkey
Under Randomization Hypothesis Tests, select Test for Difference in Proportions
Click on Edit data, enter the appropriate data
Click on ok to generate samples
Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>

From the randomization sample, we have:

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$SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}$

$SE_{p_A-p_B} = \sqrt{0.002475064}$

$SE_{p_A-p_B} = 0.050$

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