1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sasho [114]
3 years ago
14

3. Find the radius of a circle with a circumferenceof 106.81 centimeters.​

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0

For this case we have that by definition, the circumference of a circle is given by:

C = \pi * d

Where:

d: It is the diameter of the circle.

d=2r

Clearing we have:

C=2\pi*r\\r=\frac{C}{2\pi}\\r=\frac{106.81}{2\pi}\\r=17,0079

Rounding the amount and \pi=3.14

Then, the radius of the circle is 17 centimeters

ANswer:

r = 17 \ cm

Marizza181 [45]3 years ago
4 0

<u>Answer:</u>

r = 16.9 cm

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

We are given the circumference of a circle to be 106.81 cm and with the help of this, we are to find the radius of the circle.

We know that the formula for the circumference is given by:

2\pi r

so equating the given value to get:

2 \pi r = 106.81

r = \frac { 106.81 } { 2\times \pi }

r = 16.9 cm

You might be interested in
Three hundred people were surveyed about their favorite ride at an amusement park. The results of the survey are shown in the gr
faltersainse [42]
Hello, since 18% of the people surveyed chose Ferris Wheel as their favorite ride at an amusement park, we simply need to get 18% of 300.

300*0.18=54

ANSWER: A. 54 people chose Ferris Wheel as their favorite ride.
5 0
2 years ago
What is the value of m? 12+(7+m)=30<br><br> 11<br> 19<br> 25<br> 35<br> 49
Marat540 [252]
The answer is 11
hope that helps
4 0
3 years ago
Read 2 more answers
What is 64,005,874 in word and expanded form and 30,679,100
MakcuM [25]
64005874  
word form: sixty-four million, five thousand, eight hundred and seventy-four
expanded form: 60000000 + 4000000 + 5000 + 800 + 70 + 4
30679100
word: thirty million, six hundred seventy nine thousand, and one hundred
30000000 + 600000 + 70000 + 9000 + 100

hope this helps
8 0
3 years ago
(x-4)/(2x+1)-3 can you help me with this question
lilavasa [31]

Answer:

\frac{(x - 4)}{(2x + 1)} - 3 = \frac{-7x- 7}{3x + 1}

Step-by-step explanation:

Given

\frac{(x - 4)}{(2x + 1)} - 3

Required

Solve

Express 3 as a fraction

\frac{(x - 4)}{(2x + 1)} - \frac{3}{1}

Take LCM

\frac{x - 4 - 3(2x + 1)}{3x + 1}

\frac{x - 4 - 6x - 3}{3x + 1}

Collect Like Terms

\frac{x - 6x- 4  - 3}{3x + 1}

Simplify like terms

\frac{-7x- 7}{3x + 1}

Hence:

\frac{(x - 4)}{(2x + 1)} - 3 = \frac{-7x- 7}{3x + 1}

4 0
3 years ago
A survey found that the average daily cost to rent a car in Los Angeles is $102.24 and in Las Vegas is $97.35. The data were col
cluponka [151]

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = average daily cost to rent a car in Los Angeles

x2 = average daily cost to rent a car in Las Vegas

s1 = sample standard deviation for Los Angeles

s2 = sample standard deviation for Las Vegas

n1 = number of sampled cars in Los Angeles

n2 = number of sampled cars in Las Vegas

Degree of freedom = (n1 - ) + (n2 - 1) = (40 - 1) + (40 - 1) = 38

For a 95% confidence interval, the t score from the t distribution table is 2.024

From the information given,

x1 = 102.24

s1 = 5.98

n1 = 40

x2 = 97.35

s2 = 4.21

n2 = 40

x1 - x2 = 102.24 - 97.35 = 4.89

Margin of error = z√(s1²/n1 + s2²/n2) = 2.024√(5.98²/40 + 4.21²/40) = 2.024√1.3371125

= 2.34

The 95% confidence interval is 4.89 ± 2.34

Hypothesis testing

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean average daily cost to rent a car in Los Angeles and μ2 be the the mean average daily cost to rent a car in Las Vegas

The random variable is μ1 - μ2 = difference in the mean average daily cost to rent a car in Los Angeles and the mean average daily cost to rent a car in Las Vegas

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 > μ2 H1 : μ1 - μ2 > 0

This is a two tailed test

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

t = (102.24 - 97.35)/√(5.98²/40 + 4.21²/40)

t = 4.23

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [5.98²/40 + 4.21²/40]²/[(1/40 - 1)(5.98²/40)² + (1/40 - 1)(4.21²/40)²] = 1.78786983766/0.02552804373

df = 70

We would determine the probability value from the t test calculator. It becomes

p value = 0.00007

Since alpha, 0.05 > than the p value, 0.00007, then we would reject the null hypothesis. Therefore, at 5% significance level, there is sufficient evidence to conclude that there is a significant difference in the rates between the two cities.

6 0
2 years ago
Other questions:
  • The following data points represent the number of animal crackers in each kid's lunch box.
    5·2 answers
  • Use the t-distribution and the sample results to complete the test of the hypotheses. Use a significance level. Assume the resul
    7·1 answer
  • Ten students ordered eight pizzas
    11·1 answer
  • BRAINLIEST FOR FIRST ANSWER! PLS GIVE FULL EXPLANATION :)
    9·1 answer
  • Hazlina had some money, she spend 3/8 of her money and left $60, how much money did she spend?
    12·1 answer
  • Quick Algebra questions please :)
    6·1 answer
  • Rewrite using the distributive property and GCF 16 + 40
    5·1 answer
  • A 2-gallon jug of water costs $8.64. What is the price per cup?
    7·2 answers
  • The ages of three teachers are consecutive even integers. Three times the age of the youngest teacher is 48 years more than the
    7·2 answers
  • 27 divided by 5 the remainder as a decimal
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!