All categories

3 years ago

What is the diameter of a circle that has a circumference of 56.52 feet? Round your answere to the nearest whole number

1 answer:

4 0

Circumference = 2pi * radius
Diameter = 2 * radius

Circumference = pi * diameter

56.52 = pi * diameter
56.52/pi = (pi * diameter)/pi

18 = diameter

You might be interested in

There are 9,481 eligible voters in a precinct. 500 were selected at random and asked to indicate whether they planned to vote fo

maria [59]

Answer:

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

Step-by-step explanation:

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

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.

This means that $n = 500, \pi = \frac{350}{500} = 0.75$

80% confidence level

So $\alpha = 0.2$ , z is the value of Z that has a pvalue of $1 - \frac{0.2}{2} = 0.9$ , so $Z = 1.28$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.725$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.775$

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

8 0

2 years ago

Please help 10 points

jok3333 [9.3K]

Answer:

Step-by-step explanation:

Let's first find the slope of the linear function represented by the table:

As we move from x = 4 to x = 6 *an increase of 2), y increases by 6 from -2 to +4. Thus, the slope of this line is m = rise / run = m = 6/2, or 3.

Now we compare the two slopes: -2 and 3.

The postive difference between them is 5. This is Answer B.

3 0

3 years ago

The linear equation y = 32x + 240 models the relationship between the value of an investment stock, y, and the number of years i

goldfiish [28.3K]

I think answer should be d. Please give me brainlest let me know if it’s correct or not okay thanks bye

8 0

2 years ago

The equation h=7sin(pi/21t)+28 can be used to model the height, h, in feet of the end of one blade of a windmill turning on an a

satela [25.4K]

Answer:

7 feet is the length of the blade of the windmill.

Step-by-step explanation:

We have the equation

h = 7 sin(pi/21t) + 28 ------ eq1

At time 't' = 0, the end of the blade is pointing to the right parallel to the ground meaning it is at the same height as the other end. (Ф = 0°)

So, by calculating the maximum height of this end at Ф = 90°. we can calculate the length of the blade.

Now, we know that a general model equation of a circular simple harmonic motion is represented as : y = A sinωt + k ----- eq2

Where A is the amplitude that is, maximum displacement from mean to maximum position.

ω is the angular frequency.

Comparing eq1 and eq2:

A = 7

so the difference in blades end height at Ф = 0° and Ф = 90° is 7 feet.

Hence, the length of the blade is 7 feet.

4 0

2 years ago

Read 2 more answers

What does this mean??4/9 ÷ 17/ 18

vichka [17]

Answer:

4/9 ÷ 17/18 =

Step-by-step explanation:

4/9 ÷ 17/18

4/9 · 18/17 (Take the reciprocals of 17/18)

72/153

Simplest form : 8/17

Hope this helps!

-Abha

8 0

3 years ago