-1/2 (30x + 16) Help Please!<br> A. -27x - 7<br> B. -15x - 8<br> C. -18x

In the diagram below, P is circumscribed about quadrilateral ABCD. What is the value of x?

alexira [117]

We know that
In any quadrilateral where the vertices are on the circumference of a circle, the opposite angles add up to $180$ degrees.

So,
in this problem
$(x+20) + 110 = 180 \\ x+130=180 \\ x=180-130 \\ x=50degrees$

therefore

the answer is
$x=50degrees$

7 0

3 years ago

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Gun ownership Concerned about recent incidence of gun violence, a public interest group conducts a poll of 850 randomly selected

denis23 [38]

Answer:

a.

The 95% confidence interval for the proportion of all American adults who have a gun in their home is (0.4066, 0.4734). This means that we are 95% sure that the true population proportions of American adults who have a gun in their home is between these two values.

b.

The confidence level is the probability of the confidence interval containing the population proportion.

Step-by-step explanation:

Question a:

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 $1 - \frac{\alpha}{2}$ .

Poll of 850 randomly selected American adults and finds that 44% of those surveyed have a gun in their home.

This means that $n = 850, \pi = 0.44$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.44 - 1.96\sqrt{\frac{0.44*0.56}{850}} = 0.4066$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.44 + 1.96\sqrt{\frac{0.44*0.56}{850}} = 0.4734$

The 95% confidence interval for the proportion of all American adults who have a gun in their home is (0.4066, 0.4734). This means that we are 95% sure that the true population proportions of American adults who have a gun in their home is between these two values.

b. Explain what is meant by 95% confidence in this context.

The confidence level is the probability of the confidence interval containing the population proportion.

5 0

3 years ago

A large diamond with a mass of 481.3 grams was recently discovered in a mine. If the density of the diamond is 3.51 , what is th

sineoko [7]

Answer:

137.12

Step-by-step explanation:

Density = mass/volume

Density = 3.51

Mass = 481.3

Thus: 481.3/3.51 = 137.122507123

6 0

3 years ago

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A sweepstakes posted tge probabilities of winning each prize . Entry is $1 what is my expected winnings of $2,000,000 if the pro

Mnenie [13.5K]

Answer:281.643

Step-by-step explanation:

4 0

4 years ago

Uv = 8 and wx=5 find the missing measure of a rhombus

Harlamova29_29 [7]

Answer:

TU = UV = VW = WT = 8
WX = UX = 5
XV = XT = √39

Step-by-step explanation:

At first we should know the following about the rhombus

1) All sides are congruent

2) The diagonals are perpendicular and bisects each other.

Given UV = 8 and WX = 5

So, according to (1)

TU = UV = VW = WT = 8

And according to (2)

WX = UX = 5

And ΔWXV is a right triangle at ∠x

So, XV² = WV² - WX² = 8² - 5² = 64 - 25 = 39

∴XV = √39

So, XV = XT = √39

So, the missing measure of a rhombus are as following:

TU = UV = VW = WT = 8
WX = UX = 5
XV = XT = √39

3 0

3 years ago

-1/2 (30x + 16) Help Please! A. -27x - 7 B. -15x - 8 C. -18x - 9