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3 years ago

Can someone please help me on 3,4, and 5

Mathematics

2 answers:

alexandr1967 [171]3 years ago

8 0

A=45 b=60 c=90 I think

mamaluj [8]3 years ago

3 0

This is algebra and rearranging equations.

Let's start with question 3. The sum of all the angles in the triangle is 180 degrees. Therefore, 45 + 2k + k = 180. We can solve this:

180 - 45 = 3k by rearranging the equation so 135 = 3k, so k = 135/3 = 45 degrees. We can now see that the triangle is isosceles, with two angles being both 45 degrees.

The other two follow the same process:

4: a + 2a + 2a+ a = 360 so 6a = 360

a = 360/6 = 60 degrees

5: b + 3/2 b+ (b+45) + (2b-90) + 90 = 540

5b + 1/2b + 45 = 540 (because the -90 and +90 cancel each other out)

so 5 1/2b = 495

b = 90

If you use each letter and substitute in the values into the angles, you will find that they all add up to the sum of angle measures of each shape.

Hope I helped!

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Alternate Hypothesis, $H_A$ : $\mu$ > 3.50 mg

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We are given that Green Beam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. Assuming a known standard deviation of 0.18 mg.

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Alternate Hypothesis, $H_A$ : $\mu$ > 3.50 mg {means that the average mg of mercury in compact fluorescent bulbs is more than 3.50 mg}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

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