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3 years ago

Find the measure of each angle

Mathematics

1 answer:

Gennadij [26K]3 years ago

3 0

Answer:

1 = 44° (Opposite angles>

2 = 77° (By Angle sum property of a triangle)

3 = 82° ('' '' ' '' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ''')

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The following confidence interval for the population proportion for how many U.S. adults do not get enough fruits and vegetables

Zielflug [23.3K]

Answer:

The interval is constructed at 93% confidence.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between these two bounds, divided by 2.

Confidence interval of proportions concepts:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this problem, we have that:

2050 people, so n = 2050.

Lower bound: 0.878

Upper bound: 0.903

$\pi = \frac{0.878 + 0.903}{2} = 0.8905$

$M = \frac{0.903 - 0.878}{2} = 0.0125$

Confidence level:

We have to find z.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.0125 = z\sqrt{\frac{0.8905*0.1095}{2050}}$

$0.0069z = 0.0125$

$z = \frac{0.0125}{0.0069}$

$z = 1.81$

$z = 1.81$ has a pvalue of 0.965.

That is:

$]1 - \frac{\alpha}{2} = 0.965$

$\frac{\alpha}{2} = 0.035$

$\alpha = 2*0.035$

$\alpha = 0.07$

Finally

$1 - \alpha = 1 - 0.07 = 0.93$

The interval is constructed at 93% confidence.

3 0

3 years ago

Please help me!!! 30 points, will report for ridiculous responses.

Bumek [7]

Answer:

The value of an exterior angle is the sum of the two interior angles not adjacent to it so

x = 64 + 45 = $\boxed{109}$

3x + 6 = 153 so

3x = 147 so

x = $\boxed$ $\boxed{49}$

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3 years ago

Substitute the given values of the variables into the equation. Write True or False to indicate whether the values make the open

tigry1 [53]

This is false because 2(7)+0.8/0.2=56 and 22* -4 is equal to -88 and -88 is not equal to 56

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Richard ran the route A-B-C-D-E-F-G-H-A. Which of the following paths taken by Richard appear to be perpsndicular to path BC?

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2/5 is the answer good luck

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