a right triangle has a height of 20 centimeters and a base of 10 centimeters.what is the area of the triangle?
1 answer:
Answer:
<u><em>The </em></u><u><em>area of the right triangle</em></u><u><em> is </em></u><u><em>100 centimeters squared.</em></u>
Step-by-step explanation:
<u><em>The </em></u><u><em>formula for the area of a right triangle is:</em></u>
<u><em>Area = (a*b) / 2</em></u>
<u><em>The height of a triangle is represented by a. The base is represented by b.</em></u>
<u><em>Knowing this, we can use what they give us for the values, by </em></u><u><em>plugging them into the formula</em></u><u><em>.</em></u>
<u><em>a is 20 cenimeters</em></u>
<u><em>b is 10 centimeters</em></u>
<u><em>Therefore :</em></u>
<u><em>So, the </em></u><u><em>area of the right triangle</em></u><u><em> is</em></u><u><em> 100 centimeters squared.</em></u>
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Answer:
Explained below.
Step-by-step explanation:
The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².
(1)
The hypothesis for both the test can be defined as:
<em>H</em>₀: The variance of speeds does not exceeds 75 (mph)², i.e. <em>σ</em>² ≤ 75.
<em>Hₐ</em>: The variance of speeds exceeds 75 (mph)², i.e. <em>σ</em>² > 75.
(2)
A Chi-square test will be used to perform the test.
The significance level of the test is, <em>α</em> = 0.05.
The degrees of freedom of the test is,
df = n - 1 = 55 - 1 = 54
Compute the critical value as follows:
Decision rule:
If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.
(3)
Compute the test statistic as follows:
The test statistic value is, 68.184.
Decision:
The null hypothesis will not be rejected at 5% level of significance.
Conclusion:
The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.