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3 years ago

The diameter of a circle is 16 in . Find its circumference in terms of pi?

Mathematics

1 answer:

77julia77 [94]3 years ago

5 0

Answer:

Circumference of circle = πd = π × 16 =16 π in.

circumference of circle = 2πr = 2×π×8= 16 π in.

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The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the proba

mart [117]

Answer:

The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.

Step-by-step explanation:

The distribution that represents the ocurrence of this events is the Poisson distribution.

The probability of having k events in a ten-minute-period can be expressed as:

$P(x=k)=\frac{ \lambda^ke^{-k}}{k!}$

being λ the mean number of occurrences in ten minutes.

The probablility that there are 8 occurrences in ten minutes can be calculated as:

$P(x=k)=\frac{ \lambda^ke^{-k}}{k!}\\\\P(x=8)=\frac{5.3^8e^{-8}}{8!}=\frac{(622596*0.000335463)}{40320}=0.00518$

The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.

5 0

3 years ago

Ill give brainlest....Help plz

andriy [413]

Answer:

256

Step-by-step explanation:

if im wrong sorry but i highly doubt i am

8 0

3 years ago

Jaishree studies for 5 hours daily. She devotes 2 hours of her time for science and mathematics. How muþch time does she devote

baherus [9]

Total time=5h
Time devoted for mathematics and science=2h

Let Time devoted for others be x

$\\ \rm\Rrightarrow x+2=5$

$\\ \rm\Rrightarrow x=5-2$

$\\ \rm\Rrightarrow x=3h$

8 0

3 years ago

Read 2 more answers

Please someone help me...

Savatey [412]

use $a^2-b^2=(a+b)(a-b)$

to get $(\cos^3A-\sin^3A)(\cos^3A+\sin^3A)$

then use $a^3+b^3=(a+b)(a^2+b^2-ab)$

and $a^3-b^3=(a-b)(a^2+b^2+ab)$

also, $\sin^2\theta+\cos^2\theta=1$

to get $(\cos A-\sin A)(1+\sin A\cos A)(\cos A+ \sin A)(1-\sin A\cos A)$

then again use the first identity In both pairs, i.e.

$(\cos A-\sin A)(\cos A+ \sin A) \cdot (1+\sin A\cos A)(1-\sin A\cos A)$

to get $\cos 2A (1-\sin^2A\cos^2A)$

multiply and divide by 4 to get the RHS.

because, $\sin(2A)= 2\sin A \cos A$

squaring both sides, $\sin^2 (2A)=4\sin^2A\cos^2A$

3 0

3 years ago

Read 2 more answers

All I need is the Linear Equation. I can’t figure it out. Thanks!

Vika [28.1K]

Answer:

for example 2x + 5=15

first thing collect the like term

2x=15-5

=10

2x=10

divide bothside by 2

x=10\2

x=5

4 0

3 years ago