Answer:
1.
= 3.143
2. Circumference
3. Area of the circle is 3850
.
ii. Circumference of the circle is 220 cm.
Step-by-step explanation:
The area, A, and the circumference, c, of a circle can be determined respectively by:
A = ![\pi](https://tex.z-dn.net/?f=%5Cpi)
![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
C = 2
r
where r is the radius of the circle.
1. the ratio of the circumference and diameter, D, of a circle is:
r = ![\frac{D}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BD%7D%7B2%7D)
so that,
C = 2![\pi](https://tex.z-dn.net/?f=%5Cpi)
![\frac{D}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BD%7D%7B2%7D)
C =
D
= ![\pi](https://tex.z-dn.net/?f=%5Cpi)
= ![\frac{22}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B22%7D%7B7%7D)
= 3.143
2. The distance around a circular region is known as it's circumference.
3. Given a circle of radius 35 cm, then:
A = ![\pi](https://tex.z-dn.net/?f=%5Cpi)
![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
=
x ![(35)^{2}](https://tex.z-dn.net/?f=%2835%29%5E%7B2%7D)
=
x 1225
= 22 x 175
A = 3850
Area of the circle is 3850
.
C = 2
r
= 2 x
x 35
= 2 x 22 x 5
= 220
C = 220 cm
Circumference of the circle is 220 cm.
Answer:
1.75*10 to the power of 5
Step-by-step explanation:
start by moving the decimal over until only one number is in front of the decimal. this is because in scientific notation a number can't be higher than 9.
check how many places you move the decimal over (5). 1.75000 needs to be simplified (since that's the point of scientific notation) and can be simplified to 1.75.
the answer is 1.75 multiplied by ten to the power of digits the decimal moved (5) so the answer is 1.75*10 to the power of 5
It would be 18310 because of him walking
cos θ = Adjacent/ hypotenuse
cosθ= 5/13
a²+b²= c²
a² + 5² = 13²
a² = 13² - 5²
a² = 144
a=√144
a= 12
<u>a</u> is the opposite = 12
<u>b</u> is the Adjacent = 5
<u>c</u> is the hypotenuse = 13
a) tan θ= opposite/Adjacent
tan θ = 12/5
b) sin θ= opposite/ hypotenuse
sinθ= 12/13
C) sec θ= hypotenuse / Adjacent
sec θ= 13/5
d) cscθ= hypotenuse /opposite
cscθ= 13/12
e) cotθ=Adjacent/ opposite
cotθ= 5/12
Answer:
Probability according to Poisson's distribution function = 0.04979
Probability according to Exponential random variable = 0.3333
Step-by-step explanation:
In 15 minutes, the number of jobs that arrive on the average = (12/60) × 15 = 3 jobs per 15 minutes
Poisson distribution formula is given as
P(X = x) = (e^-λ)(λˣ)/x!
λ = mean = 3 jobs per 15 minutes
x = variable whose probability is required = 0
P(X = 0) = (e⁻³)(3⁰)/0! = 0.04979
Exponential random variable formula is given by
P(X=x) = f(x,λ) = λ e^(-λ.x)
λ = rate parameter, that is, time between jobs.
λ = (1/3) (15 minutes per job) = 0.3333
P(X = 0) = f(0, 0.3333) = 0.3333 e^0 = 0.3333