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
Natasha_Volkova [10]
3 years ago
6

What is the area of the following circle

Mathematics
1 answer:
shtirl [24]3 years ago
7 0

Answer: 25 pi

Step-by-step explanation:

You might be interested in
One of the earliest applications of the Poisson distribution was in analyzing incoming calls to a telephone switchboard. Analyst
grandymaker [24]

Answer:

(a) P (X = 0) = 0.0498.

(b) P (X > 5) = 0.084.

(c) P (X = 3) = 0.09.

(d) P (X ≤ 1) = 0.5578

Step-by-step explanation:

Let <em>X</em> = number of telephone calls.

The average number of calls per minute is, <em>λ</em> = 3.0.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.0.

The probability mass function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...

(a)

Compute the probability of <em>X</em> = 0 as follows:

P(X=0)=\frac{e^{-3}3^{0}}{0!}=\frac{0.0498\times1}{1}=0.0498

Thus, the  probability that there will be no calls during a one-minute interval is 0.0498.

(b)

If the operator is unable to handle the calls in any given minute, then this implies that the operator receives more than 5 calls in a minute.

Compute the probability of <em>X</em> > 5  as follows:

P (X > 5) = 1 - P (X ≤ 5)

              =1-\sum\limits^{5}_{x=0} { \frac{e^{-3}3^{x}}{x!}} \,\\=1-(0.0498+0.1494+0.2240+0.2240+0.1680+0.1008)\\=1-0.9160\\=0.084

Thus, the probability that the operator will be unable to handle the calls in any one-minute period is 0.084.

(c)

The average number of calls in two minutes is, 2 × 3 = 6.

Compute the value of <em>X</em> = 3 as follows:

<em> </em>P(X=3)=\frac{e^{-6}6^{3}}{3!}=\frac{0.0025\times216}{6}=0.09<em />

Thus, the probability that exactly three calls will arrive in a two-minute interval is 0.09.

(d)

The average number of calls in 30 seconds is, 3 ÷ 2 = 1.5.

Compute the probability of <em>X</em> ≤ 1 as follows:

P (X ≤ 1 ) = P (X = 0) + P (X = 1)

             =\frac{e^{-1.5}1.5^{0}}{0!}+\frac{e^{-1.5}1.5^{1}}{1!}\\=0.2231+0.3347\\=0.5578

Thus, the probability that one or fewer calls will arrive in a 30-second interval is 0.5578.

5 0
3 years ago
Iliana was part of a group that was working on changing 0.4 repeated to a fraction. Each member of the group had a different ans
amm1812
\bf 0.444444444\overline{4}\impliedby \textit{and keeps on going}\\\\&#10;-------------------------------\\\\&#10;\textit{let's say }\boxed{x=0.444444444\overline{4}}\quad \textit{ thus }10\cdot x=4.44444444\overline{4}&#10;\\\\\\&#10;\textit{wait a minute! }4.44444444\overline{4}\textit{ is really just }4+0.444444444\overline{4}

\bf \textit{but we know }x=0.444444444\overline{4} \textit{ so then }4+0.444444444\overline{4}=\boxed{4+x}&#10;\\\\\\&#10;\textit{wait a second! }10\cdot x\implies 10x=4.444444444\overline{4}=4+x&#10;\\\\\\&#10;thus\qquad 10x=4+x\implies 10x-x=4\implies 9x=4\implies \boxed{x=\cfrac{4}{9}}

you can check in your calculator.

anyhow, to get the "recurring decimal to fraction", you start by setting to some variable, "x" in this case, then move the repeating part to the left of the point by multiplying it by some power of 10, and then do the equating.
3 0
3 years ago
Read 2 more answers
What is the value of y in the equation 4y – 2(1 – y) = –44?
LekaFEV [45]
Y=-7 use distributive property add like terms 


8 0
3 years ago
Please help me idk this
Natali [406]

Answer:9000

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the percent change from 68 miles to 42.5 miles
Arte-miy333 [17]
The answer -35.5 Hope this helps you


5 0
3 years ago
Read 2 more answers
Other questions:
  • what are the coordinates of thee point (-10,-3) after a 180 degree clockwise rotation about the origin?
    10·2 answers
  • 2.2 • 10^6 - 4.3 • 10^5 = ?
    6·2 answers
  • Rachel is driving from New York to Dayton Florida a distance of 1034 miles. How Much Time Is Saved By Doing The Trip At An Avera
    11·1 answer
  • Does the following infinite series converge or diverge? And does it or does it not have a sum 1/3-2/9+4/2718/81+...
    6·1 answer
  • Find the cotangent of angle B. <br> 1. 12/5<br> 2. 12/13<br> 3. 13/12<br> 4. 5/12
    13·2 answers
  • 6&amp;7 please...............
    6·1 answer
  • Which properties justify the steps taken to solve the system?
    12·2 answers
  • Guyssss I need your help for this question ASAPpp
    11·2 answers
  • James has $10 in 5-cent and 10-cent coins in his change jar and counts 157 coins in total. How many 10-cent coins does he have?
    5·2 answers
  • Lmk asap please cuz I need it by tonight
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!