What would be 80.9 km to cm

in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simpl

mario62 [17]

Answer:

400.

Step-by-step explanation:

The following data were obtained from the question:

Total number of Registered voters = 30000

Total number of Democrats = 12000

Next, we shall determine the percentage of Democrats in the registered voters.

This can be obtained as follow:

Percentage of Democrats = number of Democrats / Total number of registered voters x 100

Percentage of Democrats = 12000/30000 x 100

Percentage of Democrats = 40%

Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:

Percentage of Democrats = 40%

Total number of Sample = 1000

Number of Democrats in the sampl=..?

Percentage of Democrats = number of Democrats in sample / Total number of sample x 100

40% = number of Democrats in sample/1000

Cross multiply

Number of Democrats in sample

= 40% x 1000

= 40/100 x 1000

= 400

Therefore, the expected number of Democrats in the sample is 400.

4 0

3 years ago

.The price of a MP3 Player decreases from $382 to $261.50.find the percentage decrease in its price

FinnZ [79.3K]

The percent of change = ((new value - old value) / old value) × 100%

Our new value = $261.50

Our old value = $382

Plug our values into the equation above.

(($261.50 - $382) / $382) × 100% = -31.54%

8 0

3 years ago

Read 2 more answers

Explain this diagram.

spayn [35]

The shape that we have here is sued to show the infinite geometric progression.

<h3>What is geometric progression?</h3>

This is the sequence of numbers that has all the other values in the sequence gotten by the multiplication of a certain factor

In this question or the shape we can see that the triangle is made up of smaller other triangles embedded in it.

The area of the traingle that is in the red color is seen to have been made up of 1/3 of the total triangles that we have in the shape. This can be seen to be similar as the triangles that are represented by the green and the blue color.

Putting a lot of triangles inside one big triangle gives up a pictorial diagram on how to add infinite amount of things up.

Read more on triangles here:

brainly.com/question/17335144

#SPJ1

6 0

1 year ago

The cost of renting a car for a day is $0.70 per mile plus a $20 flat fee

Andreyy89

Answer:

a) y = .70x + 20

-To find this, use the rate as x since it will change based on the number of miles. Since 20 is a flat fee, it can be added at the end as a constant.

b) This graph forms a straight line.

-This is because the answer in a is a linear equation.

c) The slope is .70 and the y-intercept is 20.

-For this one, the y-intercept is always the constant at the end of the equation and the slope is the coefficient of x.

5 0

2 years ago

Explain the steps necessary to convert a quadratic function in standard form to vertex form

SIZIF [17.4K]

Answer:

See below.

Step-by-step explanation:

Here's an example to illustrate the method:

f(x) = 3x^2 - 6x + 10

First divide the first 2 terms by the coefficient of x^2 , which is 3:

= 3(x^2 - 2x) + 10

Now divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form

(x - b/2)^2 - b/2)^2 (where b = 2) , which will be equal to x^2 - 2x in a different form.

= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x + 1^2 and we have to make it equal to x^2 - 2x)

= 3 [(x - 1)^2 -1 ] + 10

= 3(x - 1)^2 - 3 + 10

= <u>3(x - 1)^2 + 7 </u><------- Vertex form.

In general form the vertex form of:

ax^2 + bx + c = a [(x - b/2a)^2 - (b/2a)^2] + c .

This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.

3 0

2 years ago

Read 2 more answers