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3 years ago

Find the measure of b. (Explain how you found it please!)

Mathematics

1 answer:

Allisa [31]3 years ago

5 0

Answer:

125 deg

Step-by-step explanation:

Keep these three rules in mind:

1) A central angle (vertex is the center of the circle) has the same measure as the arc it intercepts.

2) The measure of an inscribed angle (vertex is point on circle) is half the measure of the intercepted arc.

3) Opposite angles of a rectangle inscribed in a circle are supplementary.

110 deg is a central angle.

By rule 1), the arc intercepted by the central angle 110 deg also measures 110 deg.

a is an inscribed angle that intercepts an arc of 110 deg.

By rule 2), the measure of an inscribed angle is half the measure of the intercepted arc.

angle a measures 55 deg.

Rule 3) Angles a and b are supplementary.

a + b = 180

55 + b = 180

b = 125

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The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.30, and the sample statistics

IrinaK [193]

Answer: 0.84

Step-by-step explanation:

let p be the population proportion of adults who smoked a cigarette in the past week.

As per given , we have

$H_a: p$

Sample size : n= 1491

The sample proportion of adults smoked a cigarette= $\hat{p}=\dfrac{x}{n}=\dfrac{462}{1491}=0.30985915493\approx0.31$

The test statistic for proportion is given by :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Substitute all the values , we get

$z=\dfrac{0.31-0.30}{\sqrt{\dfrac{0.30(1-0.30)}{1491}}}\\\\=\dfrac{0.01}{\sqrt{0.000141}}\\\\=\dfrac{0.01}{0.011874342087}=0.84261497731\approx0.84$

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3 years ago

Which graph represents a function?

lisabon 2012 [21]

Answer:

the bottom graph in the first photo

Step-by-step explanation:

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2 years ago

Solve the inequality x+1<3/4 and write the solution in interval notation.

Darya [45]

The solution to the inequality in interval form is (-∞, -1/4)

<h3>Inequality expressions</h3>

Inequality are expressions not separates by an equal sign. Given the inequality below;

x+1<3/4

Subtract 1 from both sides to have;

x + 1 - 1 < 3/4 - 1

x < 3/4 - 1

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Hence the solution to the inequality in interval form is (-∞, -1/4)

Learn more on inequality here: brainly.com/question/24372553

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1 year ago

Solve for these letters<br> X<br> Y<br> Z

tester [92]

Z = 140
X = 40
Y = 40
Explanation:
Z and the angle given (140 degrees) are vertical angles, and are therefore congruent
We know that x and y are vertical angles, so they are also congruent to each other
You know that together, the angles have to add up to 360
140 + 140 + x + y = 360
Another way of putting it:
360-280 = 80
Now, we have to divide by two since we need to find x AND y
80/2 = 40
Therefore, your answers for x and y are 40
To double check, you can add up the angles and see if they equal 360
140 + 140 + 40 + 40
280 + 80 = 360

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