What is the formula for finding circumference given the radius?

Answers

Answer 1

Answer:

[tex]C = 2\pi r\\[/tex]

Step-by-step explanation:

[tex]Circumference = 2\times \pi \times r[/tex]

What Is The Formula For Finding Circumference Given The Radius?

Related Questions

What is the subsets of 10

Answers

Answer:hi

Step-by-step explanation:

The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator

Answers

Answer:

The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

Step-by-step explanation:

16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

We calculate sample mean and std deviation from given data.

Sample Mean, [tex]$ {\overset{-}X} =\frac{\Sigma (X)}{n} $[/tex]   =269.8/10=26.98

Sample Variance, [tex]$s^2= \frac{\Sigma(X-{\overset{-}X})^2}{(n-1)}$[/tex]    =1859.496/9=206.610667

Sample std dev,s=[tex]$\sqrt{s^2}$[/tex]=√206.610667≈14.373958

We want to test two tailed hypothesis:

[tex]$H_0$[/tex] : σ=12

[tex]$H_2$[/tex] : σ≠12

Given: s=14.373958⇒ [tex]$s^2$[/tex] =206.610667,n=10

Significance level, a=0.1 Degrees of freedom, df=n-1=9

Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.

Critical values are given by [tex]$ X_{1-\alpha/2}^2 =X_{0.95}^2 \text{ and}\ X_{1-\alpha/2}^2 =X_{0.95}^2 $[/tex]  with 9 degrees of freedom.

We can use chi-square table or following excel commands:

CHISQ. INV(0.95,9)=3.32511284307

CHISQ. INV (0.05,9)=16.9189776046

Critical Values, [tex]$X_L^2$[/tex]=3.325  and [tex]$X_R^2$[/tex]=16.919

Since this is two tailed test, the decision rule or rejection criteria is:

Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,

Reject [tex]$H_0$[/tex]   if [tex]$x^2$[/tex]≤3.325  OR [tex]$x^2$[/tex]≥16.919

Test statistic is given by [tex]$X^2=\frac{(n-1)s^2}{\sigma^2}$[/tex] =((9)*206.610667)/144=12.913167    

Test statistic, [tex]$x^2$[/tex]=12.913

since test statistic is between two critical values, we (do not reject [tex]$H_0$[/tex]) (i.e, we fail to reject [tex]$H_0$[/tex].

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .

Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject [tex]$H_0$[/tex] if p-value ≤0.1

P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9,  TRUE ) 1-CHISQ.DIST 12.913167,9,  TRUE ) =0.333149809868

P-value =0.3331

since p-value is greater than significance level (α),we (do not reject [tex]$H_0$[/tex]) (i.e, we fail to reject [tex]$H_0$[/tex]).

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .

 

4/5 2/3 13/15 7/9. Order fractions least to greatest

Answers

13/15 7/9 4/5 2/3 in that order.

Answer:

2/3 7/9 4/5 13/15

Step-by-step explanation:

The width of the rectangle is 0.6 meters less than the length. The perimeter of a rectangle is 60.8 meters. Find the dimensions of the rectangle.

Answers

Answer:

14+=+2L+%2B+2%28L-3%29 Simplify and solve for L

14+=+2L+%2B+2L+-+6 Combine like-terms.

14+=+4L-6 Add 6 to both sides.

20+=+4L Divide both sides by 4.

5+=+L The length is 5 meters.

W+=+L-3

W+=+5-3

W+=+2meters.

The width is 2 meters.

P+=+2L%2B2W

P+=+2%285%29%2B2%282%29

P+=+10%2B4

P+=+14meters.

Step-by-step explanation:

1. In how many ways can a committee of eight people to be formed from a group of 6 male, 5 female and 4 students if there are no restrictions, as all members are eligible?

Answers

Answer:

The number of ways is 6435

Step-by-step explanation:

Given

[tex]Male = 6[/tex]

[tex]Female = 5[/tex]

[tex]Students = 4[/tex]

Required

Number of ways a group of 8 can be formed

Here, I'll assume each category of people are distinct:

Hence;

[tex]Total = Male + Female + Students[/tex]

[tex]Total = 6 + 5 + 4[/tex]

[tex]Total = 15[/tex]

Number of ways is then calculated as follows:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

Where

[tex]n = 15\ and\ r = 8[/tex]

So, we have:

[tex]^{15}C_8 = \frac{15!}{(15 - 8)!8!}[/tex]

[tex]^{15}C_8 = \frac{15!}{7! * 8!}[/tex]

[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9 * 8!}{7!8!}[/tex]

[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7!}[/tex]

[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7 * 6 *5 * 4 * 3 * 2 * 1}[/tex]

[tex]^{15}C_8 = \frac{32432400}{5040}[/tex]

[tex]^{15}C_8 = 6435[/tex]

Hence, the number of ways is 6435

Given y=2x+8, determine the value of y when x=3

Answers

Answer:

y = 14

Step-by-step explanation:

Given x plug in 3 for x

y = (2times3) + 8

y = 6 + 8

to cheak ur awsner plug in y as 18 and solve for x

Answer:

x=3 so y=2*3+8

=6+8

=14

If the points (1,4) and (3,12) lie on the line representing a proportional relationship, what is another point that
lies on the line?

Answers

Answer:

its (2,8)

Step-by-step explanation:

the point is the  multiple of the abscissa 1 and ordinate 4 if we multiply 2 with 1 and 4 we get (2,8) and the ratio is also same

or it can be all the multiples of 1 and 4

thank u

327.8 in scientific notation

Answers

Answer:

3.278 * 10 ^ 2

Step-by-step explanation:

To change a number to scientific notation you:

Move the decimal point to the left to make the number have 1 number before the decimal point.

From there you multiply by 10 to the power 2 the number of decimal points you moved.

So the answer is 3.278 * 10^2

HOPE IT HELPED

A point represents what in geometry

Answers

it represents location

CDs cost $5.96 more than DVDs at all bets are off electronics. How much would 6 CDs and 2 DVDs cost if 5 CDs and two DVDs cost $127.73

Answers

Cd= x =5,96
Dvd=y

5x+2y=127,73
2y = 127,73 - 5 (5.96)
2y = 127,73 - 29.8
2y = 97.93
y = 97.93/2 = 48.965

x=5,96
y=48.965

6x+2y = 6(5,96) + 2(48.965) = 35.76 + 97.93 = 103.89

Final answer: 103.89

*i made it the much detailed possible as i don't know what your teacher asks of you so alot of it is unnecessary

At the city museum, child admission is $5.20 and adult admission is $9.20. On Friday, 157 tickets were sold for a total sales of $1068.40. How many adult tickets were sold that day?

Answers

116 adult tickets were sold and 41 child tickets were sold

the absolute value of a number is the distance from 0 to the number on a number line. use absolute value notation to indicate two number that are 3 units away from 0​

Answers

Answer: It is 3 and negative -3

Step-by-step explanation:3 units away from zero forwards and back are both 3 but one is negative

Answer: 3 and negative -3

hope this helps

Please help with part A!!

Answers

Answer:

Option A. A and D

Step-by-step explanation:

This answer because they are both right triangles and are near the same size

Hope this helps!

How is. X^2=36 rational?

Answers

Answer:

[tex] {x}^{2} = 36 \\ x = \sqrt{36 } \\ x = 6 \\ it \: is \: rational \: number \: because \: we \: can \: write \: 6as \: 6 \1 \: it \: is \: in \: the \: form \: of \: p \q \: where \: \: q \: i \: not \: equals \: to \: 0[/tex]

hope this will help you.

Which line is perpendicular to a line that has a slope of Negative one-third? line MN line AB line EF line JK

Answers

Answer:

The answer is line EF, C is the correct answer!

Step-by-step explanation:

Just took the assignment. Maybe this will help you with your other problems with slopes and angles. If you have any more questions for me, I'll answer them! :D

The perpendicular line is line EF.

What is slope?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.

Slope = m = tan θ

m = (y2 - y1)/(x2 - x1)

Given:

slope = -1/3

then, the perpendicular line will have the slope = 3

Now, from the figure the line line represent the slope 3 is line EF

As, (0, -3) and (2, 3)

slope = 3+3 / 2-0

slope= 6/2

slope= 3

Hence, the perpendicular line is line EF.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

4. At lunch, Samantha bought a sandwich for
$2.75, milk for $0.75 and 2 cookies for $0.50
each. If tax is 8%, how much tax did Samantha
just pay for lunch? (CP)
Work:

Answers

Answer: 4.86

Step-by-step explanation: 2.75+.75 = 3.5  1 for the cookies 4.5*0.08 = 0.36

4.5+.36 = 4.86.

A builder is building 5 new homes. Each home has a foyer measuring 9 feet by 18 feet. Laminate flooring for each foyer costs $26.91 per square yard. What is the cost of the laminate floors for the foyers in all 5 homes?

Answers

Answer: $2421.90

Step-by-step explanation:

Since a yard is 3 feet, we can say the foyer is 3 yards by 6 yards (9 feet is 3 yards and 18 feet is 6). The area of a square is x*y, so the area of each floor is 3*6 = 18 square yards. Since there are 5 homes, there are 5 * 18 = 90 total square yards to laminate. That means that the total cost is 90 * 26.91 = $2421.90.

The total cost for the foyer for the 5 homes is $ 2421.9.            

Given that,

A builder is building 5 new homes. Each home has a foyer measuring 9 feet by 18 feet. Laminate flooring for each foyer costs $26.91 per square yard. What is the cost of the laminate floors for the foyers in all 5 homes is to be determined.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,
1 yard = 3 feet
Now
The measure of foyer = 9 feet x 18 feet = 9 /3 yard x 18 / 3 yard.
Area of the foyer = 3 x 6
                            = 18-yard square
Area of the  foyer of 5 homes = 5 * 18
                                                  = 90-yard square,

The total cost of a foyer for 5 homes = 90 * 26.91
                                                    = $2,421.9


Thus, the total cost for the foyer for the 5 homes is $ 2421.9.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2


     

A rectangular table is two times as long as it is wide. If the area is 50 ft2, find the length and the width of the table.

Answers

Answer:

length = 10ft

breadth = 5ft

Step-by-step explanation:

Given,

Let breadth be x.

According to the question,

length = 2x

Area = 50ft^2

we know that,

Area of rectangle ( A) = l × b

or, x × 2x = 50 ft^2

or, 2x^2 = 50ft^2

or, x^2 = 50ft^2/2

or, x^2 = 25ft^2

or, x = 5 ft

Now,

2x = 2×5ft =10ft

Therefore, length is 10ft and breadth is 5ft.

How many pounds are equal to 3 tons?​

Answers

Answer:

6000 pounds Hope this helps :)

Step-by-step explanation:

Multiply by mass value 2000

Answer:

6000

Step-by-step explanation:

Rewrite 8 3/4 as an improper fraction.

A. 35/4

B. 28/3

C.35/8

D.32/4

Answers

Answer:

35/4

Step-by-step explanation:

multiply 8 by 4, add the 3

Answer:

the answer is C

Step-by-step explanation:

need help 6th grade math​

Answers

going in order the numbers missing are 89, 472, 544, 531 and for the remainder i am. it sure i’m just guessing it’s 13

Solve 6 sec^2x-1= 7.

Answers

x=4

2x-1=7
Move the constant to the right - 2x=7+1
Calculate - 2x=8
Divide both sides - x=4

What is the answer to x to the zero power

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1}}}}}[/tex]

Step-by-step explanation:

The value of the term having the index 0 equals to 1.

So, [tex] \sf{ {x}^{0} }[/tex] = 1

Hope I helped!

Best regards! :D

15 multiplied by what makes 80

Answers

Answer:

5.33

Step-by-step explanation:

It is a repetitive decimal.

Suppose that a visitor to Disneyland has a 0.74 probability of riding the Jungle Cruise, 0.62 probability of riding the Monorail, 0.70 of riding the Matterhorn, 0.52 of going on both the Jungle Cruise and Monorail, 0.46 of going on the Jungle Cruise and Matterhorn, 0.44 of going on the Monorail and the Matterhorn, and 0.34 of going on all three rides. What is the probability that a person visiting Disneyland will go on at least one of these three rides

Answers

Answer: 0.98

Step-by-step explanation:

Let J denotes Jungle Cruise , M denotes Monorail and H denotes Matterhorn.

As per given ,

P(J) = 0.74,  P(M) =  0.62, P(H) = 0.70

P(J∩M) = 0.52,  P(J∩H)= 0.46 , P(M∩H)=0.44

P(J∩M∩H)=0.34

Now , the required probability:

P(J∪M∪H) = P(J) + P(M)  + P(H) - P(J∩M) - P(J∩H) - P(M∩H)+ P(J∩M∩H)

= 0.74+0.62+0.70-0.52-0.46-0.44+0.34

= 0.98

Hence, the probability that a person visiting Disneyland will go on at least one of these three rides= 0.98 .

The standard unit for length is the ____. yard meter foot milliter please help its due in 6 mins!!!

Answers

Answer:

Meter

Step-by-step explanation:

The standard unit of length based on the metric system is a meter (m). According to the length that needs to be measured, we can convert a meter into various units like millimeters (mm), centimeter (cm), and kilometer (km).

how do you convert a fraction to decimal

Answers

to convert a fraction to a decimal, divide the numerator by the denominator (divide the top by the bottom)
divide the numerator by the denominator. ex) 1/2 divide 1 by 2 to get an answer of .5

Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1/10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked
8 1/2
hours last week, how much money did she donate to the charity?

Answers

Answer: $9.86

Step-by-step explanation:

$11.60 ⋅ 8.5 = $98.60

$98.60 / 10 = $9.86

Which of the following expressions is the inverse of the function y = 2x − 6?

Answers

Answer:

[tex] x = \frac{1}{2} y + 3[/tex]

Step-by-step explanation:

[tex]y = 2x - 6 \\ y + 6 = 2x \\ \frac{y + 6}{2} = x \\ \frac{y}{2} + 3 = x \\ \huge \red{ \boxed {x = \frac{1}{2} y + 3}}[/tex]

plz click this help me and i am really desspprte and i do not want get in trouble plz my teacher is very strict.

Answers

someone said this was wrong and I realized that I was just confused so i fixed it

it's 3:1

Answer:

b

Step-by-step explanation:

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