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BabaBlast [244]
3 years ago
6

Math problem helo please!!!!!!!

Mathematics
2 answers:
Phantasy [73]3 years ago
7 0
Since angle 4 is across from angle 2 it is equal to it because they are called opposite or vertical angles which are always equal.

Angle 4 = 143 degrees.

Angles 1 and 2 are supplementary because they share one of the same lines. This means their angle values add up to 180 which is the angle measure of a line.

180 - 143 = 37

Angle 1 = 37 degrees.

Since angle 3 is across from angle 1 it is equal to it because they are called opposite or vertical angles which are always equal.

Angle 3 = 37 degrees.

I hope this helps!
Dmitriy789 [7]3 years ago
5 0

The measure of angle 1 would be 37 degrees because a straight angle is 180 degrees.

You subtract 143 from 180 to get 37 degrees.

measure of angle 1 = 37


For the measure of angle 3, it is the same as the measure of angle 1 because vertical angles have the same angle measure. Angle 1 and Angle 3 are vertical angles.

measure of angle 3 = 37


Angle 4 and Angle 2 are vertical angles, so they have the same measure.

The measure of Angle 2 is given (143).

measure of angle 4 = 143

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lapo4ka [179]

Using the z-distribution, we have that:

a)

The hypothesis test is:

  • H_0: \mu = 7.4
  • H_1: \mu < 7.4

The p-value is of 0.0668.

The critical value is z^{\ast} = -1.28

b) Since the <u>test statistic is less than the critical value</u> for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is <u>tested if the mean is of 7.4 minutes</u>, that is:

H_0: \mu = 7.4

At the alternative hypothesis, it is <u>tested if the mean is lower than 7.4 minutes</u>, that is:

H_1: \mu < 7.4

We have the <u>standard deviation for the population</u>, hence, the z-distribution is used.

The test statistic is given by:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the sample.
  • n is the sample size.

For this problem, the values of the <em>parameters </em>are: \overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36.

Hence, the value of the <em>test statistic</em> is:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}

z = -1.5

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a <u>left-tailed test</u>, as we are testing if the mean is less than a value, the critical value with a <u>significance level of 0.1</u> is of z^{\ast} = -1.28.

Item b:

Since the <u>test statistic is less than the critical value</u> for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at brainly.com/question/16313918

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