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nata0808 [166]
3 years ago
10

Am I correct? ( top question)

Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Answer:

72

Step-by-step explanation:

<1 and <2 are not equal to each other

Let the angle  directly above angle 2 (on the right side of the line) be angle 3

<1 and <3 are corresponding angle, which means they are equal

<2 and <3 are supplementary angles since the form a line

<2 + <3 = 180

We know <1 = <3

<1 + <3 = 180

We are given <1 = 2x+12  and <2 = 3x+18

2x+12 + 3x+18 = 180

Combine like terms

5x+30 = 180

Subtract 30 from each side

5x+30-30 = 180-30

5x= 150

Divide each side by 5

5x/5 = 150/5

x=30

<1 = 2x+12

Substitute 30 in for x to find angle 1

   = 2*30 +12

   =60+12

  = 72

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At the alternative hypothesis, it is <u>tested if the mean is smaller</u>, that is:

H_1: \mu < 2463.

We have the <u>standard deviation for the sample</u>, hence, the <em>t-distribution</em> is used to solve this question.

The test statistic is given by:

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The values of the <em>parameters </em>are: \overline{x} = 1640, \mu = 2463, s = 66, n = 49.

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I found the pie chart that should accompany this problem, as well as, the choices of answer for this problem.

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