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hammer [34]
3 years ago
13

X Angle 1 and Angle 2 are supplementary, Solve for x if angle 1 = 2x -3 and/3

Mathematics
1 answer:
Alona [7]3 years ago
5 0

9514 1404 393

Answer:

  ∠1 = 67°; ∠2 = 113°

Step-by-step explanation:

<u>Given</u>:

  ∠1 = 2x-3

  ∠2 = 3x +8

  ∠1 +∠2 = 180

<u>Find</u>:

  ∠1, ∠2

<u>Solution</u>:

Substituting the first two relations into the third, we have ...

  (2x -3) +(3x +8) = 180

  5x +5 = 180 . . . eliminate parentheses

  x + 1 = 36 . . . . . divide by 5

  x = 35

Then the angles are ...

  ∠1 = 2x-3 = 2(35) -3

  ∠1 = 67°

  ∠2 = 3x +8 = 3(35) +8

  ∠2 = 113°

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Answer:

(.24329, .3734)

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1-propzint

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8 0
3 years ago
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably norma
Nataliya [291]

Answer:

The degrees of freedom is 11.

The proportion in a t-distribution less than -1.4 is 0.095.

Step-by-step explanation:

The complete question is:

Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the proportion in a t-distribution less than -1.4  if the samples have sizes 1 = 12 and n 2 = 12 . Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places. degrees of freedom = Enter your answer; degrees of freedom proportion = Enter your answer; proportion

Solution:

The information provided is:

n_{1}=n_{2}=12\\t-stat=-1.4

Compute the degrees of freedom as follows:

\text{df}=\text{Min}.(n_{1}-1,\ n_{2}-1)

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Thus, the degrees of freedom is 11.

Compute the proportion in a t-distribution less than -1.4 as follows:

P(t_{df}

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*Use a <em>t</em>-table.

Thus, the proportion in a t-distribution less than -1.4 is 0.095.

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3 years ago
A calculator displays a result as 1.3540980 107 kg. the estimated uncertainty in the result is ±2%. how many digits should be i
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3 years ago
How do you solve this
Dimas [21]
80%  because I did the math


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3 years ago
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