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3 years ago

7

Answer the question and explain your answer. I will be marking brainiest! If you have the correct answer and explain why it’s co

rrect, I will probably pick YOU as brainiest! :)

1 answer:

cestrela7 [59]3 years ago

7 0

Answer:

A = 200.96 sq ft

Step-by-step explanation:

formula for area of a circle: A = π·r²

A = (3.14)·(8²)

A = 64·(3.14)

A = 200.96

You might be interested in

A random sample of 5120 permanent dwellings on an entire reservation showed that 1627 were traditional hogans.

krek1111 [17]

Answer:

a) $\hat p=\frac{1627}{5120}=0.3178$

b)The 99% confidence interval would be given by (0.301;0.355)

Step-by-step explanation:

1) Notation and definitions

$X=1627$ number of permanent dwellings on the entire reservation that are traditional hogans.

$n=5120$ random sample taken

$\hat p=\frac{1627}{5120}=0.318$ estimated proportion of permanent dwellings on the entire reservation that are traditional hogans.

$p$ true population proportion of permanent dwellings on the entire reservation that are traditional hogans.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

Part a

The point of estimate for p=the proportion of all permanent dwellings on the entire reservation that are traditional hogans is given by:

$\hat p=\frac{1627}{5120}=0.3178$

Part b

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.318 - 2.58\sqrt{\frac{0.318(1-0.318)}{5120}}=0.301$

$0.318 + 2.58\sqrt{\frac{0.318(1-0.318)}{5120}}=0.335$

The 99% confidence interval would be given by (0.301;0.355)

8 0

3 years ago

I CAN EXPLAIN A PROOF OF THE PYTHAGOREAN THEOREM.

Radda [10]

The answer should be 8 cm2

6 0

2 years ago

If you bought a stock last year for a price of $139, and it has risen 5.4% since

kumpel [21]

Answer:

<h2>To the nearest cent, the stock will be worth $ 146.51 </h2>

Step-by-step explanation:

Hope this helped ;)

6 0

3 years ago

If 4 − 7x is 5 less than 23, what is the value of 3x ?

adelina 88 [10]

4- 7x = 23- 5

4 - 7x = 18

-4 = -4

-7x = 14

/-7 = /-7

X = -2

3x = -6

8 0

2 years ago

In a class of students, the following data table summarizes how many students passed a test and complete the homework due the da

Alexxandr [17]

20 / 27 is the probability that a student chosen randomly from the class passed the test or completed the homework.

<u>Step-by-step explanation:</u>

To find the probability that a student chosen randomly from the class passed the test or complete the homework :

Let us take,

Event A ⇒ a student chosen randomly from the class passed the test
Event B ⇒ a student chosen randomly from the class complete the homework

We need to find out P (A or B) which is given by the formula,

⇒ P (A or B) = P(A) + P(B) - P(A∪B)

<u>From the given table of data,</u>

The total number of students in the class = 27 students.
The no.of students passed the test ⇒ 15+3 = 18 students.

P(A) = No.of students passed / Total students in the class

P(A) ⇒ 18 / 27

The no.of students completed the homework ⇒ 15+2 = 17 students.

P(B) = No.of students completed the homework / Total students in the class

P(B) ⇒ 17 / 27

The no.of students who passes the test and completed the homework = 15 students.

P(A∪B) = No.of students both passes and completes the homework / Total

P(A∪B) ⇒ 15 / 27

Therefore, to find out the P (A or B) :

⇒ P(A) + P(B) - P(A∪B)

⇒ (18 / 27) + (17 / 27) - (15 / 27)

⇒ 20 / 27

∴ The P (A or B) is 20/27.

7 0

2 years ago