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Zarrin [17]
3 years ago
10

An amphitheatre has 23 seats in the first row, 25 in the second, 27 in the third, and so on, for 32 rows. How many seats are in

the amphitheatre? The amphitheatre has seats​
Mathematics
1 answer:
dezoksy [38]3 years ago
3 0
It has 1,995 seats.
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A particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls invol
Phoenix [80]

Answer:

0.1091 or 10.91%

Step-by-step explanation:    

We have been given that a particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls involve fax messages and consider a sample of 20 calls. We are asked to find the probability that exactly 6 of the calls involve a fax message.  

We will use Bernoulli's trials to solve our given problem.

P(X=x)=^nC_x\cdot P^x(1-P)^{n-x}

P(X=6)=^{20}C_6\cdot (0.20)^6(1-0.20)^{20-6}

P(X=6)=\frac{20!}{6!(20-6)!}\cdot (0.20)^6(0.80)^{14}

P(X=6)=\frac{20!}{6!(14)!}\cdot (0.000064)(0.04398046511104)

P(X=6)=38760\cdot (0.000064)(0.04398046511104)

P(X=6)=0.1090997009730

P(X=6)\approx 0.1091\\

Therefore, the probability that exactly 6 of the calls involve a fax message would be approximately 0.1091 or 10.91%.

4 0
3 years ago
What is located at (–2, –2)?
tatuchka [14]

Answer:

B. The post office

youre welcome!

5 0
3 years ago
Allie has two cars- a truck and a sedan. Last week, she used 3 gallons of gas in the truck and 5 gallons of gas in the sedan and
gavmur [86]

Answer:

sedan = 26 miles/gallon

truck = 17 miles/gallon

Step-by-step explanation:

try to write the text in mathematical format as a system of equations

t=truck s=sedan

\left \{ {{3t+5s=181} \atop {7t+6s=275}} \right.

first equation can be written as

t= (181-5s)/3

we can use it in the second equation and rewrite it as

7[(181-5s)/3]+6s = 275

7(181/3 -5/3s) + 6s = 275

1267/3 - 35/3s + 6s = 275

-35/3s + 18/3s = 275-1267/3

-35/3s + 18/3s = 825/3 - 1267/3

-35s + 18s = 825 -1267

-17s = -442     s = 442/17 = 26 sedan has an average of 26 miles/gallon

we use this value of s in the first equation

3t + 5*26=181      3t=181-130   t= 51/3 = 17 truck has an average of 17 miles/gallon

5 0
3 years ago
2.5x + 1 = 26 help hurryyyyyyyyy!!!!?!?!??!?!?!
kondaur [170]

Answer:

2.5x=26-1

x=25/2.5

x=10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A deer named Cho was crossing the highway. Martin was driving at 60 MPH, speeding 5 MPH over the speed limit. Flem distracted Ma
bagirrra123 [75]

Speed limits are used in most republics to set the greatest speed at which road cars may legally journey on specific stretches of road. In the problem, the car is moving 60 mph and was speeding over 5mph above the speed limit. So therefore, 60 – 5 = 55mph is the speed limit for this road.

8 0
3 years ago
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