Find the circumference of a circle with a radius of 6 miles. The circumference is _

The American Academy of Periodontology released a survey, revealing that 27% of US adults admit they lie to their dentist about

AnnZ [28]

Answer:

Null Hypothesis, $H_0$ : p = 0.27

Alternate Hypothesis, $H_A$ : p > 0.27

Step-by-step explanation:

We are given that the American Academy of Period ontology released a survey, revealing that 27% of US adults admit they lie to their dentist about how often they floss their teeth.

Periodontist Dr. Garcia believes that the percentage seems low, so he decides to conduct his own hypothesis test to determine the true proportion.

Let p = % of US adults who admit they lie to their dentist about how often they floss their teeth

So, Null Hypothesis, $H_0$ : p = 0.27

Alternate Hypothesis, $H_A$ : p > 0.27

Here, null hypothesis states that the % of US adults who admit that they lie to their dentist about how often they floss their teeth is equal to 27%.

On the other hand, alternate hypothesis states that the % of US adults who admit that they lie to their dentist about how often they floss their teeth seems low and is more than 27%.

Also, the test statistics that would be used for conducting this hypothesis test will be One-sample z proportion statistics.

7 0

3 years ago

Charle has 10 guests over at his house. If he gives each guest bacon, he will have given

svlad2 [7]

Answer:

Each guest got 3. (if he doesn't have any for himself).

Step-by-step explanation:

if each guest is x

30=10x

divide by 10

x=3

hope this helps and if you want please consider giving me brainliest! :)

4 0

3 years ago

Vivian surveyed bicyclists in her community to see the average number of miles they biked per day. Her results are shown below.

Alex

Answer:

MAD of her data set is 4.

Step-by-step explanation:

Vivian surveyed bicyclists in her community to see the average number of miles they biked per day.

The data set is given below :

7, 10, 13, 4, 12, 21, 10, 3

$mean=\frac{\text{Sum of data set}}{\text{number of values}}$

$=\frac{(7+10+13+4+12+21+10+3)}{8}$

$=\frac{80}{8}$

= 10

$MAD=\frac{\sum |A_1-f_1|}{n}$

Data point Distance from mean

1 7 7 - 10 = | -3 | = 3

2. 10 10 - 10 = | 0 | = 0

3. 13 13 - 10 = | 3 | = 3

4. 4 4 - 10 = | -6 | = 6

5. 12 12 - 10 = | 2 | = 2

6. 21 21 - 10 = | 11 | = 11

7. 10 10 - 10 = | 0 | = 0

8. 3 3 - 10 = | -7 | = 7

Adding the distance = 3 + 0 + 3 + 6 + 2 + 11 + 0 + 7 = 32

MAD = $\frac{32}{8}$ = 4

MAD of her data set is 4.

Mean Absolute Deviation of this data tells about the variation of 4 miles biked each day by the bicyclists.

6 0

3 years ago

Solve for x: |x − 2| + 10 = 12

raketka [301]

✯Let's solve this equation step-by-step!
✯is the question you've asked us today:
|x − 2| + 10 = 12

✯Add -10 to both sides:
|x−2|+10+−10=12+−10

✯Solve Absolute Value:
|x−2|=2

✯We know either:
x−2=2 or x−2=−2

(Possibility 1) x−2=2

(Add 2 to both sides) x−2+2=2+2

x=4

(Possibility 2) x−2=−2

(Add 2 to both sides) x−2+2=−2+2

x=0

✯So since we have gotten x=4 and x=0 you answer shall be:

B. x=4 and x=0

✯I hope this helps!✯

3 0

3 years ago

Read 2 more answers

The terminal ray of angle e passes through the point (-3, -8). What is the exact value of cose? You must show your work to recei

sesenic [268]

Answer:

(4,-8?)

Step-by-step explanation:

Determine the coordinates of a point that lies on a terminal side: draw a right triangle to the x-axis and use Pythagorean Theorem and/or SOHCAHTOA relationships to determine missing side lengths. * For angles greater than 360, you must subtract 360(or multiple) from the angle until the result is between 0 and 360.

4 0

3 years ago

Find the circumference of a circle with a radius of 6 miles. The circumference is __mi.