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nexus9112 [7]
3 years ago
8

What is the arc length of an angle of 2π 3 radians formed on the unit circle? A) π 3 B) 2π 3 C) 4π 3 D) 5π 3

Mathematics
2 answers:
mars1129 [50]3 years ago
5 0
We know that
in a unit circle the radius is 1
therefore
[Length of a circumference]=2*pi*r------> 2*pi

if 2pi radians in a circle unit has a length of ------------>  2*pi
2pi/3 radians----------------------------> X
X=2pi/3

the answer is 2pi/3

Anestetic [448]3 years ago
3 0
<span>The <u>correct answer</u> is:

2</span>π<span>/3.

Explanation<span>:

An angle formed on the unit circle would be a central angle.

The measure of an intercepted arc is the same as the measure of the central angle; since the angle is 2</span></span>π<span><span>/3, the arc length is 2</span></span>π<span><span>/3.</span></span>
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A student wanted to construct a 95% confidence interval for the average age of students in her statistics class. She randomly se
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Answer: (17.42, 20.78)

Step-by-step explanation:

As per given , we have

Sample size : n= 9

\overline{x}=19.1 years

Population standard deviation is not given , so it follows t-distribution.

Sample standard deviation : s= 1.5 years

Confidence level : 99% or 0.99

Significance level : \alpha= 1-0.99=0.01

Degree of freedom : df= 8  (∵df =n-1)

Critical value : t_c=t_{(\alpha/2,\ df)}=t_{0.005,\ 8}= 3.355

The 99% confidence interval for the population mean would be :-

\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}

19.1\pm (3.355)\dfrac{1.5}{\sqrt{ 9}}\\\\=19.1\pm1.6775\\\\=(19.1-1.6775,\ 19.1+1.6775)\\\\=(17.4225,\ 20.7775)\approx(17.42,\ 20.78)

Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .

7 0
3 years ago
Oleta has five times as many pennies as quarters. Altogether she has $1.80 how many of each coin does she have
Vaselesa [24]
She has 45 pennies and 9 quarters


5:1

P:Q

0.01:0.15

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8 0
3 years ago
Giving brainly answer quick noob
olga2289 [7]

Answer:

Ok

Step-by-step explanation:

5 0
2 years ago
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So you want to finance a car for $4840 let's say we offer a 4.5% interest rate on a two year loan at 6% on a five year loan?
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Answer:

Interest Rate on 2-Year Loan...$435.6

Interest Rate on 5-Year Loan...$1,452

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The formula for calculating simple interest is as follows.

I = P x R x T,

where I = interest

P= Principal

R= interest rate

T= time

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=  $4,840 x 4.5/100 x 2

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= $435.6

Total cost of the loan will principal plus interest

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Monthly loan cost

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Total loan cost... $6,292

Monthly loan  costs... $104.87

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3 years ago
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