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Ira Lisetskai [31]
3 years ago
6

The base of a triangle is 18 cm and its height is 7w-1 cm. Find the expression for the triangles area

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0

Answer:

Area = 9(7w -1) cm²

Step-by-step explanation:

Area of a triangle is given by the expression,

Area = \frac{1}{2}(\text{Base})(\text{height})

From the picture attached,

Base of the triangle = 18 cm

Height of the triangle = Vertical distance of the third vertex from the base joining other two vertices = (7w - 1)

Area = \frac{1}{2}(18)(7w-1)

        = 9(7w - 1) square cm

Therefore, expression for the area of the given triangle will be,

Area = 9(7w -1) cm²

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<h2>Answer with explanation:</h2>

Let p be the population proportion  of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

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Set hypothesis to test :

H_0: p=0.39\\\\H_a :p\neq0.39

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Critical value for 95% confidence : z_{\alpha/2}=1.96

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0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95​% confidence interval represents evidence that​ parents' attitudes toward the quality of education have changed.

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