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Using the z-distribution, as we are working with a proportion, it is found that the 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).

For each sample, the mean and the standard error are given by:

[tex]p_C = 0.0256, s_C = \sqrt{\frac{0.0256(0.9744)}{586}} = 0.0065[/tex]

[tex]p_H = 0.0535, s_H = \sqrt{\frac{0.0535(0.9465)}{467}} = 0.0104[/tex]

Hence, for the distribution of differences, the mean and the standard error are given by:

[tex]p = p_C - p_H = 0.0256 - 0.0535 = -0.0279[/tex]

[tex]s = \sqrt{s_C^2 + s_H^2} = \sqrt{0.0065^2 + 0.0104^2} = 0.0123[/tex]

It is given by:

[tex]p \pm zs[/tex]

In which z is the critical value.

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

Then, the bounds of the interval are given as follows:

[tex]p - zs = -0.0279 - 1.96(0.0123) = -0.052[/tex]

[tex]p + zs = -0.0279 + 1.96(0.0123) = -0.0038[/tex]

The 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

.00035453808

Step-by-step explanation

Answer:

60cm³

Step-by-step explanation:

Answer: -4/3 or - 1 1/3

Step-by-step explanation: 2 times -2 = -4 and 3 times 1 is 3.

Answer:

Step-by-step explanation:

x is the amount of the bill

tax = 8.25% of x = 0.0825x

tip = 20% of x = 0.20x

total payment = x + 0.0825x + 0.20x = 1.2825x

The total cost of the meal is given by the equation A = x + 0.2x + 0.0825x and A = 1.2825x , where x is the initial cost of the meal

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let total cost of the meal be represented as A

Now , the equation will be

Let the cost of the meal be x

Let the tip percentage be = 20 %

Now , the sales tax percentage of the meal = 8.25 %

So , the total cost of the meal A = cost of the meal + ( tip percentage x cost of the meal ) + ( sales tax percentage of the meal x cost of the meal )

Substituting the values in the equation , we get

The total cost of the meal A = x + ( 20/100 )x + ( 8.25/100 )x

On simplifying the equation , we get

The total cost of the meal A = x + 0.2x + 0.0825x

The total cost of the meal A = 1.2825x

Hence , the equation is A = 1.2825x

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Answer:

10x

Step-by-step explanation:

Answer:

10 x

Step-by-step explanation:

I think it's the answer

Answer:

13" = 13/1" = 13"

Step-by-step explanation:

Answer:

-5/4, -1, -4/5, 0.4, 3

Step-by-step explanation:

Answer:

-4/5 -1 -5/4 .4 3

Step-by-step explanation:

Answer:

10x

Step-by-step explanation:

Answer:

10x

Step-by-step explanation:

they used 500 kilograms because since it is thirty percent will not be 600 it is 500 so there is the answer

Answer:

4n ≥ 5/6

Step-by-step explanation:

Hope this helps!!!

Answer:

110

Step-by-step explanation:

3x+5+2x=180

Step 1: Simplify both sides of the equation.

3x+5+2x=180

(3x+2x)+(5)=180(Combine Like Terms)

5x+5=180

5x+5=180

Step 2: Subtract 5 from both sides.

5x+5−5=180−5

5x=175

Step 3: Divide both sides by 5.

x=35

35*3+5=110

Answer: 4

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz

Answer:

1: 90 degrees

2: 45 degrees

3: 8

Step-by-step explanation:

This is the only reasonable answer

Step-by-step explanation:

Ay bro use photomath its really easy to awnsere with it just take a photo of the question and it'll give u steps

Answer:

prime factors of 900 are 2,2,3,3,5,5

which is the same as 2^2×3^2×5^2

Answer:

it would be -5, because when they are the same signs, you keep the sign and add the numbers, so -7 +-5=-12

Step-by-step explanation:

9514 1404 393

Answer:

  5 miles

Step-by-step explanation:

It may get a bit messy, but we can solve for the desired value directly. Let d = the distance walked (in miles). Then 20-d is the distance traveled in the car. The relevant relation is ...

  time = distance / speed

The total travel time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours. Here is the equation for total travel time.

  total time = time spent walking + time spent riding

  13/6 = (d/3) + (20-d)/30

Multiplying by 30 gives ...

  65 = 10d + 20 -d

  45 = 9d . . . . . . . . . . subtract 20

  5 = d . . . . . . . . . . . . divide by 9

The girl walked 5 miles.

_____

Check

Her walking time was (5 mi)/(3 mph) = 5/3 h = 1:40.

Her riding time was (15 mi)/(30 mph) = 1/2 h = 0:30.

Her total travel time was 1:40 +0:30 = 1:70 = 2:10, as required.

Answer:

if i'm doing it right then sin p, but i'm not entirely sure...sorry

Step-by-step explanation:

Answer:

Cos P

Step-by-step explanation:

there's no way this can be sin so that cancels out to answers because this is a 90 60 30 triangle It can't be R because either way that's never going to equal Q

( maybe wait for second opinion)

Hope I helped!!

Answer:

In a certain sport, teams receive 3 points for each win, 1 point for each draw, and no points for losses. In a five-team tournament in this sport, in which each of teams G, H, J, K, and L played each other team exactly once, did team L finish the tournament with the highest point total?

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you draw the situation you get a right triangle with

hypothenuse Edelton Walton and the Park City as the vertex of the right angle

Michael went 38+25= 63 miles

Landon went the length of the hypothenuse so use Pythagorean theorem

√38²+25² ≅45.49miles

Michael went 63-45.5 ≅17.5 further

Answer:

Step-by-step explanation:

5m+8m= 13m

-4z-2z= -6z

+3

= 13m-6z+3

Answer:

13m - 6z + 3

Step-by-step explanation:

Step-by-step explanation:

y2 - y1 / x2 - x1  

2 = 5 - y / (3 - 1)

4 = 5 - y

y = 1

So the line with slope 2 passes through the points (1,1) and (3,5).

Hope this helps!

Answer:

is there a picture or something

Step-by-step explanation:

or like some equation? Im in 7th grade too but i need a picture in order to help you So when u get a picture i edit my anwser and help you

Answer:

1. 258 square meters

2. 180 square meters

3. 286 square feet

Step-by-step explanation:

1. Find the surface area of each side:

9 * 5 + 5 * 6 + 9 * 5 + 6 * 5 + 9 * 6 + 9 * 6

45 + 30 + 45 + 30 + 54 + 54

75 + 75 + 108

150 + 108

258

2. Base: 5 * 5 = 25

Top: 5 * 5 = 25

Sides: each 5 * 6.5 = 32.5

Altogether: 32.5 * 4 = 130

130 + 25 + 25 = 180

3. Base and top: both 8 * 10 = 80, together 80 * 2 = 160

Front and back sides: both 8 * 3.5 = 28, together 28 * 2 = 56

Left and right sides: both 10 * 3.5 = 35, together 35 * 2 = 70

Altogether: 160 + 56 + 70 = 286 sq feet