Anne bought an aquarium priced at $44.96. Shipping and handling cost an additional 25%of the price. What was the total cost of the aquarium, including shipping and handling?

Using the z-distribution, it is found that:

a) There are more than 10 successes and 10 failures in the sample, hence the conditions are met.

b) The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).

c) Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.

Item a:

The requirement is that there are at least 10 successes and 10 failures in the sample.

244 out of 500 voters are affiliated with party X, hence 500 - 244 = 256 are not, meaning that there are more than 10 successes and 10 failures in the sample, hence the conditions are met.

Item b:

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]\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]\frac{1+\alpha}{2}[/tex].

244 out of 500 voters are affiliated with party X, hence:

[tex]n = 500, \pi = \frac{244}{500} = 0.488[/tex]

99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.43[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.546[/tex]

The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).

Item c:

Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.

A similar problem is given at https://brainly.com/question/16807970

Answer:

2x-5y=10 in slope intercept form is y=2/5x-2. The x intercept would be 5 and the y intercept would be -2. The slope is 2/5.

Step-by-step explanation:

Think about the axis for a moment. You have the y-axis and the x-axis. The y-axis crosses the x-axis at y=0. Consequently the graph must also cross the x-axis when its equation has its y-value set to 0.

Likewise the graph will cross the y-axis when x=0

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Solving your question

To find the x-intercept set y=0 giving

[tex] - 2x + 5(0) = - 10 \\ - 2x = - 1 |?| [/tex]

Multiply both sides by ( -1) giving

[tex]2x = 10[/tex]

Divide both sides by 2 giving

[tex] \frac{2}{2} \times x = \frac{10}{2} \\ [/tex]

But [tex] \frac{2}{2} = 1 \: \\ [/tex] giving

- BRAINLIEST answerer

Answer:

Step-by-step explanation:1

Answer:

6.4 ounces

Step-by-step explanation:

The total number of 'parts' is 5 containing 2 parts yellow and 3 parts green so if we divide 16 ounces of blue paint by the 5 parts, we can find 1 part. 1 part is 3.2. Yellow uses 2 parts so we time 3.2 by 2. The answer should be 6.4

Answer:

25-10  (25 - A and 10 - B)

Step-by-step explanation:

25 - 10 equals the 15 point margin

25 plus 10 equals the 35 point score combined

Hope it helps

Answer:

25 to 10

First of all, you'd have to write an equation.

            35                   =       (x+15)        +    x

total number of points       Team A         Team B

Subtract 15 from both sides.

20 = 2x

Divide.

20/2 equals X=10

Then you would add 15 to 10 and that would be Team A's score, therefore 25, Team B's is 10.

Answer

If you are trying to find the area the answer would be 1,256cm

Step-by-step explanation:

1. A≈π r^2

2. A≈(3.14) (20)^2

3. A≈(3.14) (400)

4. A≈ 1,256^2

Answer:

9 feet

Explanation :

9 feet beacause

1 in. = 1 foot so 9 in. = 9 feet

Answer:

[tex]\huge\boxed{\text{Is inorrect. Correct answer is:}}\\\boxed{\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\sqrt{12}-1}{\sqrt3}=\dfrac{\sqrt{12}}{\sqrt3}-\dfrac{1}{\sqrt3}=\sqrt{\dfrac{12}{3}}-\dfrac{1}{\sqrt3}=\sqrt4-\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=2-\dfrac{\sqrt3}{3}\\\\=\dfrac{6}{3}-\dfrac{\sqrt3}{3}=\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}\\\\\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}[/tex]

Answer:

x=4

Step-by-step explanation:

Answer:

Company A is cheaper than Company B when x > 40  miles

Step-by-step explanation:

The correct alternative that, matches the correct value of this expression is the letter A. That is, the answer will be 35.

To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.

_ When the signs are the same: just add them up.

_ When the signs are different: just subtract.

[tex]\large \sf =27-(-8)[/tex]

[tex]\large \sf =27+8[/tex]

[tex]\boxed{\boxed{\large \sf \ 35 \ }}[/tex]

So, the numeric value of this numeric expression will be 35.

Using the given confidence interval, it is found that the correct option is:

The 95% confidence interval is (0.289, 0.416).

Using the above justification, the correct option is:

A similar problem is given at https://brainly.com/question/17097944

Answer:

1.32

Step-by-step explanation:

1.32

Answer:

62

Step-by-step explanation:

Just do 5/8 = 40/x, and cross-multiply to get:

320 = 5x,

And x will be equal to 62

Based on the information given the percent of the total cost of the bike has Wu saved is 30%.

Using this formula

Total cost percentage=Amount saved/Cost×100

Where:

Amount saved=$75

Cost =$250

Let plug in the formula

Total cost percentage=$75/$250×100

Total cost percentage=30%

Inconclusion the percent of the total cost of the bike has Wu saved is 30%.

Learn more here:

https://brainly.com/question/17157877

Answer:

30 kilometers

Step-by-step explanation:

18 divided by 0.6 is 30

Answer:

3x8= 24sf

5x7= 35sf

9x10= 90sf

13x2= 26sf

8x8= 64sf

Step-by-step explanation:

Answer:

0.002

Step-by-step explanation:

the digit "2" in this equation represents 0.02 or also 2/100

1/10 of 2/100 would be like multiplying 1/10 and 2/100 and that would get us 2/1000

2/1000 is also 0.002

0.002 is the value of the digit 2 in the number 1,947.5286​.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here we have,

the number 1,947.5286​.

the digit "2" in this equation represents 0.02 or also 2/100

1/10 of 2/100 would be like multiplying 1/10 and 2/100

and that would get us 2/1000

i.e.

2/1000 is also 0.002

Hence, 0.002 is the value of the digit 2 in the number 1,947.5286​.

To learn more on number click:

brainly.com/question/17429689

#SPJ2

Answer:

(1,1)0that is the answer I think

Answer:

A = 1,1 B = 4,2 C = 2,4

Explanation:

90 cw (270 ccw) - Same y, opposite x.

180 - opposite x, opposite y

270 cw (90 ccw) - opposite y, same x

Answer:

Step-by-step explanation:

According to given we have (x, y) pairs:

Work out the equation of the line.

Find the slope:

Find the y- intercept using one pair of coordinates:

The line is:

Find the value of y when x = 14 and x = 15:

Answer:

12cm by 15cm

8cm by 10cm

4cm by 5cm

Step-by-step explanation:

it is made smaller so any values smaller than 15cm but in ratio of 4:5 can be answer

Answer:

15 cm is the new dimensions of new photograph

Step-by-step explanation:

initial dimension of shorter side = 8 cm

initial dimension of longer side = 10 cm

final dimension ofshorter side = 12 cm

finial dimension of longer side = x cm

The enlargement always ensure the aspect ratio

aspect ratio = lonter side/shorter side

equating, [tex]\frac{10}{8}[/tex] = [tex]\frac{x}{12}[/tex]

Solving for x,

10 × 12 = 8 × x

[tex]x = \frac{10 x 12 }{8} = \frac{120}{8 } = 15[/tex]

        /\

        that says 10 x 12

longer side is 15cm

(Hope this helps can I pls have brainlist (crown)☺️)

The way you typed out this sentence was a bit confusing but I think you were saying...

For a weekly car rental, a car rental company charges customers a flat fee of $100 +  and charges 10 cents for every mile traveled. write an equation for the amount of a weekly rental car that travels 15 miles (Please let me know if I am wrong)

The equation would be

10+10 +10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10 = 150 cents

so they would be charging $1.50

Hoped this helped!

Have a great day/night! :)

Answer:

I can't see the file or I can't open the file

Step-by-step explanation:

Answer:

It is congruent to M

Step-by-step explanation:

Answer:

Numerical: (8x2)-(3+5) = 8

Word form: Eight-times-two minus three-plus-five

(8 x 2) - (3 + 5)

  16     -     8     = 8