A national survey of 1516 respondents reached on land lines and cell phones found that the percentage of adults who favor legalized abortion has dropped from 55% a year ago to 45%. The study claimed that the erroratributable to sampling is 4 percentage points. Would you claim that a majority of people are not in favor of legalized abortion?

Answers

Answer 1

Answer:

Answer:

The upper bound of the interval is below 0.5, which means that it can be claimed that a majority of people are not in favor of legalized abortion

Step-by-step explanation:

Confidence interval:

Sample proportion plus/minus margin of error.

In this question:

Sample proportion of 0.45, margin of error of 0.04. So

0.45 - 0.04 = 0.41

0.45 + 0.04 = 0.49

The confidence interval is of (0.41,0.49). The upper bound of the interval is below 0.5, which means that it can be claimed that a majority of people are not in favor of legalized abortion

Answer 2

Answer:

Final answer:

Given the margin of error of 4 percentage points, we cannot definitively state that a majority are against legalized abortion, even though the survey shows a 45% favor rate. The true proportion could be anywhere from 41% to 49%.

Explanation:

The question relates to the interpretation of survey results and margin of error. The study indicates that 45% of the surveyed adults favor legalized abortion, down from 55%. However, the study also reveals a margin of error of 4 percentage points.

This implies that the true proportion of adults favoring legalized abortion could be anywhere from 41% (45% - 4%) to 49% (45% + 4%). So, we cannot definitively say that a majority of adults are opposed to legalized abortion, as the result could still be close to 50%, given the margin of error.

Learn more about Survey Results and Margin of Error here:

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1. Trapezoid BEAR has a height of 8.5 centimeters and parallel bases that measure 6.5 centimeters and 11.5 centimeters. To the nearest square centimeter, find the area of the trapezoid.Area of trapezoid BEAR = ___________ square centimeters

2. Regular pentagon PENTA has side lengths that are 9 meters long. To the nearest square meter, find the area of the pentagon.

Area of pentagon PENTA = _____square centimeter

Answers

Given

1) Trapezoid BEAR with bases 11.5 and 6.5 and height 8.5, all in cm.

2) Regular pentagon PENTA with side lengths 9 m

Find

The area of each figure, rounded to the nearest integer

Solution

1) The area of a trapezoid is given by

... A = (1/2)(b1 +b2)h

... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77

The area of BEAR is about 77 cm².

2) The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...

... A = (1/2)ap

... A = (1/2)(s/(2tan(180°/n)))(ns)

... A = (n/4)s²/tan(180°/n)

We have a polygon with s=9 and n=5, so its area is

... A = (5/4)·9²/tan(36°) ≈ 139.36

The area of PENTA is about 139 m².

Answer:139 cm squared

The area of a trapezoid is given by

... A = (1/2)(b1 +b2)h

... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77

The area of BEAR is about 77 cm².

The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...

... A = (1/2)ap

... A = (1/2)(s/(2tan(180°/n)))(ns)

... A = (n/4)s²/tan(180°/n)

We have a polygon with s=9 and n=5, so its area is

... A = (5/4)·9²/tan(36°) ≈ 139.36

The area of PENTA is about 139 m².

A student who has created a linear model is disappointed to find that herR2 value is a very low 13%. a) Does this mean that a linear model is not appropriate? Explain. b) Does this model allow the student to make accurate predictions? Explain.

Answers

Answer:

a) No it doesn't mean that linear model is inappropriate

b) No. The prediction using this model will not be accurate.

Step-by-step explanation:

For answering this part, firstly consider the concept of $R^(2)$

The $R^(2)$ also known as coefficient of determination is used to determine the amount of variability in dependent variable is explained by the linear model. Lower $R^(2)$ depicts that less variation of dependent is explained by the independent variable using the linear model. The linearity of model is determined by scatter plot. Thus, if the $R^(2)$ is lower, it doesn't mean that linear model is inappropriate.

The predictions made by the model having lower $R^(2)$ value are erroneous. The model is used for prediction if the linear model explains the larger portion of variability in dependent variation. If the predictions made from the model that have lower $R^(2)$ value then the predicted values will not be close to the actual value and thus residuals will not be minimum as residuals are the difference of actual and predicted values.

Solve for x:

4x + 8 = 5x + 2

Answers

Answer: X = 6

Step-by-step explanation:

4x + 8 = 5x + 2

-5x -5x (minus 5x from each side)

-x+8=2

-8 from each side

-x = -6

divided by -1 from each side

x = 6

X=6

First thing you want to do it separate the x and the numbers on different sides by subtracting or adding.
4x+8 = 5x +2
-4x. -4x

8=x+2
-2. -2
6=x

In a right triangle, Angle A and B are acute. If tan B= 2, what is cos B? Round to three decimal places.Show work plzzz!!!

Answers

The value of cosB ≅ 0.447 to three decimal places.

Since angle A and angle B are acute and tanB = 2, we find cosB from the trigonometric identity

tan²B + 1 = sec²B

Find SecB

So, substituting the value of tanB into the equation, we have

tan²B + 1 = sec²B

2² + 1 = sec²B

4 + 1 = sec²B

5 = sec²B

Taking square root of both sides, we have

√sec²B = ±√5

secB = ±√5

Find CosB

Since secB = 1/cosB, we have that

1/cosB = ±√5

⇒cosB = ±1/√5

Since B is acute, cosB will be positive.

So, cosB = 1/√5

cosB = 1/2.2361

cosB = 0.4472

cosB ≅ 0.447 to three decimal places.

So, the value of cosB ≅ 0.447 to three decimal places.

Learn more about cosine here:

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Hello, please I bed urgent help with this math problem please

Answers

Answer:

option C

Step-by-step explanation:

$4c^2 + 7c - 5 = 0 , \ where \ a = 4 , \ b = 7 , \ x = - 5$

$c = (- b \pm √(b^2 - 4ax ))/(2a) \n\nc = (- 7 \pm √(49 - ( 4 * 4 * - 5 )))/(2 * 4) \n\nc = (- 7 \pm √(49 + 80))/(8) \n\nc = (- 7 \pm √(49 + 80))/(8) \n\nc = (- 7 \pm √(129))/(8) \n\n$