Help me solve this math problem

Lynna [10]

First find the circumference of the patio.
Diameter is πd.
8 x 3.14 = 25.12
210º is approximately 58%.
Multiply 25.12 by .58 to get approximately 14.7 meters.
Hope this helps!

7 0

3 years ago

An accounting professor is notorious for being stingy in giving out good letter grades. In a large section of 140 students in th

Arlecino [84]

Answer:

The 95% confidence interval for the proportion of students that obtain a letter grade of B or better from this professor is (0.2056, 0.3544). The interpretation is that we are 95% sure that the true proportion of students who obtain a letter grade of B or better from this professor is between 0.2056 and 0.3544.

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

140 students, so $n = 140$

B or better are grades of A or B.

5% earn As, 23% earn Bs, so $p = 0.05 + 0.23 = 0.28$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.28 - 1.96\sqrt{\frac{0.28*0.72}{140}} = 0.2056$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.28 + 1.96\sqrt{\frac{0.28*0.72}{140}} = 0.3544$

The 95% confidence interval for the proportion of students that obtain a letter grade of B or better from this professor is (0.2056, 0.3544). The interpretation is that we are 95% sure that the true proportion of students who obtain a letter grade of B or better from this professor is between 0.2056 and 0.3544.

7 0

3 years ago

The poll found that 38% of a random sample of 1012 American adults said they believe in ghosts. What is the lower bound for a 90

Brrunno [24]

Answer:

The lower bound for a 90% confidence interval for the percentage of all American adults who believe in ghosts is 0.3549

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1012, \pi = 0.38$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 - 1.645\sqrt{\frac{0.38*0.62}{1012}} = 0.3549$

The lower bound for a 90% confidence interval for the percentage of all American adults who believe in ghosts is 0.3549

6 0

4 years ago

A recipe for chocolate chip muffin states that yields 12 muffins with 340 cal per muffin you and decided make a mini muffins and

stira [4]

If you eat two of your muffins, you will consume 408 calories.

<h3>How many calories are in a muffin?</h3>

Here a recipe says that yields 12 muffins with 340 calories per muffin, so the total number of calories for the recipe is:

C = 12*340 cal = 4,080 cal.

If you followed the same recipe, then the total number of calories of your 20 muffins is 4,080 calories.

Assuming that those calories are evenly distributed among the 20 muffins, then the number of calories each muffin will have is given by the quotient:

4,080cal/20 = 204 cal.

Each of your 20 muffins will have 204 calories, then if you eat two of these, you will consume 408 calories.

If you want to learn more about quotients:

brainly.com/question/629998

#SPJ1

8 0

2 years ago

The imposition of an integer restriction is necessary for models where:

Elena L [17]

Answer: goodluck i just needed points sorry :(

Step-by-step explanation:

idk sorry

5 0

4 years ago