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Alexus [3.1K]
3 years ago
10

Halpp me please kind people

Mathematics
1 answer:
nikklg [1K]3 years ago
5 0

Answer:

Measure 1 is 112º

You know that 112º is the closest answer because you can see the angle is obtuse. And obtuse is an angle less than 180 but more than 90º

Step-by-step explanation:

So a straight line is equal to 180º so just set the equations equal to 180. Your final equation should look like (3x + 22) + (2x + 8) = 180

Now all you have to do is solve for x.

3x + 22 + 2x + 8 = 180

Combine like factors

3x + 2x = 5x

22 + 8 = 30

Now your equation should look like 5x + 30 = 180

Subtract 30 from both sides.                   -30       -30  

                                                                            ----------

                                                                                150

So now the equation should look like 5x = 150

Divide both sides by 5, 150/5 = 30

SO x = 30

Plug 30 in to the equation to check your answer

(3*30 + 22) = 112

(2*30 + 8) = 68

112 + 68 = 180

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Answer:

The line between 1 5/8 and 1 7/8 is exactly 1 3/4.

Step-by-step explanation:

1 3/4 = 1 6/8

Since the lines are every 1/8 of a cup, there are a total of 16 lines indicating 1/8 of a cup for a total of two full cups.

1/8 less than 1 6/8 is 1 5/8.

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We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

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The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

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Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

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Where (from tables):

Z_{0.99}=2.33

Finally, the interval at 98% confidence level is:

CI(\mu)=\lbrack28.94,31.06\rbrack

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