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Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

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

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that [tex]n = 533, \pi = \frac{351}{533} = 0.6585[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923[/tex]

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Answer:

let x=distance 105 mph train traveled

(456-x)=distance 85 mph train traveled

Travel time = distance/speed (equal in both directions)

x/105=(456-x)/85

85x=105*456-105x

190x=105*456

x=105*456/190=252 miles

travel time=252/105=2.4 hrs

ans:

The two trains will meet in 2.4 hrs

Step-by-step explanation:

there brainliest pls

Answer: 5

Step-by-step explanation:

Answer:

468

Step-by-step explanation:

Answer:

468

Step-by-step explanation:

First, we want to break this up into separate pieces, there will be 3 rectangles and 1 square.

each rectangle has a height of 6 and a width of 24. so the area of each rectangle would be 6*24 or 144, then we multiply that by 3 because there are 3 rectangles, when we multiply 144*3 we will get 432.

Now we must solve for the area of the square, on each side, it is 6 cm so we multiply 6*6 so we get 36, that's all we need to do for that now.

to get our final answer we add both answers together so, 432+36 then our final answer is 468 cm

Answer:

Hey! Sorry im too late lol but here-

Step-by-step explanation:

Example of tangent in the real world-

When a stone gets tied at one end of a string & the other end is rotated, then the stone will form a circle.

How you know the tangent and radius are perpendicular:

The radius is formed vertically and is completely straight, while the tangent is completely straight but horizontal. You can draw a right triangle angle between the radius and tangent line by adding a third line, and a right angle is 90 degrees. So, this forms a perpendicular line.

Hope this helped :))

Part A: The path of the ball in relation to the curved path of the thrower

Part A: The path the ball takes is perpendicular to the hand, bat or feet  at the point of last contact

Reason for the selection:

Part A

A real world example of tangents is the direction of a ball immediately it is released and the circular path of the motion, that provides the force input that is given to the ball to cause it to move in the required direction

The tangent is the path the ball takes immediately it is moving without contact to the bat, hand or feet that causes it to move

The circular path is the motion of the hand, leg, bat or feet that makes before the ball is released

The radius is the hand, leg, or bat that rotates in a circular path, so as to move the ball

Part B

How the radius is perpendicular to the tangent

The radius, such as the leg kicking a ball is perpendicular to the tangent of the which is the path of the ball because a kick to send the ball into air, the orientation of leg at the point the ball leaves is perpendicular to the angle of elevation with which the ball is launched

Learn more about tangents here:

https://brainly.com/question/16300584

Answer:

The answer correct d

24 (1.2.3.4.6.8.24) 52 (1.2.3.4.52)

24+52=76

Answer:

3 tenths

Step-by-step explanation:

Answer:

What do you want us to find???

Step-by-step explanation:

Answer:

2.5 feeeeeeeeeeeeeeeeeeeet i think

Answer:

2/6

Step-by-step explanation:

divide 4/12 by two(top and bottom) to get 2/6. or multiple 2/6 by two (top and bottom) to get 4/12.

Answer:

-6 + 2 = -4

Step-by-step explanation:

-6 + 2 = -4

Answer:

380

Step-by-step explanation:

multiply  20 x 19

Answer:

B. 68°

Step-by-step explanation:

The interior angles of the right triangle from the figure given are:

<1, right angle (90°), and (180° - 158°)

m<1 + 90° + (180° - 158°) = 180° (sum of triangle)

m<1 + 90° + 22° = 180°

m<1 + 112° = 180°

m<1 + 112° - 112° = 180° - 112°

m<1 = 68°

Answer: 68

Step-by-step explanation:

multiple choice test no explanation needed good luck

Step-by-step explanation:

Alina is building a roof for a dog house with the dimensions shown. She uses plywood to make the roof with the dimensions shown, but with an open bottom.

A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.

Find the surface area of the roof.

The area of each triangular face is  

✔ 6

ft2.

The surface area of the roof is  

✔ 24

ft2.

The surface area is 24 ft² and Alina need to consider four faces while buying shingles for the roof.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Alina is building a roof for a dog house

A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.

Find the surface area of the roof.

The surface area of each triangular face is  given by the formula

= (1/2) * base * height

= (1/2) * 4 * 3

= 6 ft²

The surface area of the roof is  

= 4 * 6

= 24 ft²

She'll need to consider 4 faces when buying shingles for roof .

To know more about Surface Area

https://brainly.com/question/2835293

#SPJ2

Answer:

4 ssquare units

Step-by-step explanation:

Answer:

C: Employees are assigned to one of four pay scales. Randomly select a pay scale and survey every employee in that pay scale

Step-by-step explanation:

Looking at the given options, the one that will likely result in undercoverage will be option C. This is because even after assigning employees to any of the 4 payscales, when randomly selecting for survey, he picked only one pay scale and surveyed every on there. Since he didn't include at least one person in the other pay scales, he will not have covered every pay scale which he will need to make a conclusion on job satisfaction experienced by his employees.

Answer:

32 minutes or .5333 of an hour

Step-by-step explanation:

Answers:

cos(A) = 0.8480

tan(B) = 1.6

=============================================

Explanation:

Before we can compute cos(A), we'll need to find the hypotenuse.

Use the pythagorean theorem.

a^2 + b^2 = c^2

8^2 + 5^2 = c^2

89 = c^2

c^2 = 89

c = sqrt(89)

The hypotenuse is exactly sqrt(89) units long.

This will allow us to find the cos(A) value

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(A) = 8/sqrt(89)

cos(A) = 0.84799830400509 which is approximate

cos(A) = 0.8480 when rounding to four decimal places

-------------------------

For the tangent ratio, we won't use the hypotenuse. Instead, we use the opposite and adjacent sides like so:

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(B) = 8/5

tan(B) = 1.6

Answer:

(n-4)(n-7)

Step-by-step explanation:

hopefully that helps

Answer:

3/7

Step-by-step explanation:

You want to seperate the numbers from the variable.

Answer:

60  36   24

Step-by-step explanation:

5             3            2

25x +9x + 4x =   5472

38x  = 5472

x =  144

25(144) = 3,600         9(144) = 1,296           4(144) = 576

  60²  = 3,600                   36²= 1,296               24² = 576

3,600 + 1,296+576 =  5,472

Answer:

1,280

Step-by-step explanation:

Answer:

The number between -1 and 1 is 0 ( zero)

Answer:

Probability [Both ball red without replacement] = 26 / 77

Step-by-step explanation:

Given:

Number of white ball in beg = 6 balls

Number of black ball in beg = 3 balls

Number of red ball in beg = 13 balls

Find:

Probability [Both ball red without replacement]

Computation:

Probability of first red ball = Number of red ball in beg / [Total balls in beg]

Probability of first red ball = 13 / [6 + 3 + 13]

Probability of first red ball = 13 / 22

Probability of Second red ball = Number of remaining red ball in beg / [Total balls in beg without replacement]

Probability of Second red ball = [13 - 1] / [6 + 3 + 12]

Probability of Second red ball = 12 / 21

Probability [Both ball red without replacement] = [Probability of first red ball][Probability of Second red ball]

Probability [Both ball red without replacement] = [13/22][12/21]

Probability [Both ball red without replacement] = 26 / 77

Answer:

A cubic function

Step-by-step explanation:

I graphed it and connected the lines on desmos then compared to the types of calculus graphs on the search engine.

Answer:

C = 81.69 ft

Step-by-step explanation:

Given the following data;

Diameter = 26 ft

To find the circumference of a circle;

Mathematically, the circumference of a circle is given by the formula;

Circumference of circle, C = πd

Where;

d represents the diameter of the circle.

Substituting into the formula, we have;

C = 3.142 * 26

C = 81.69 ft

Answer:

(-5,-10)

it is in quadrant 3 (quadrant III)

Step-by-step explanation:

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Answer:

(-5,-10) In Quadrant III

Step-by-step explanation:

When reflecting a point accross the x-axis, the y-coordinate of the point changes signs

Ex. Positive to Negative and vice versa

Therefore, (-5,10) reflected accross the x-axis becomes (-5,-10)

Since both x and y coordinates are negative, the point falls in the third quadrant, or Quadrant III