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1 year ago

The nth term of a sequence is 20 - n2

Mathematics

1 answer:

maks197457 [2]1 year ago

5 0

Answer:

Fifth term

Step-by-step explanation:

The third term is:

20 − (3)² = 11

If the term is negative:

20 − n² < 0

n² > 20

n > √20

n > 4.47

The first term to have a negative value is the fifth term.

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vlada-n [284]

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1 year ago

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Each airline passenger and his or her luggage must be checked to determine whether he or she is carrying weapons on to the airpl

Dafna1 [17]

Answer:

$P_k = 0.83$

$N_{\mu} \approx 4 \ passengers$

$T_{\lambda} = 0.5 \ minutes$

Step-by-step explanation:

From the question we are told that

The average number of passengers that arrive per minute is $\lambda = 10$

The average number of check that can be carried out in one minute is $\mu= 12$

Generally the probability that a passenger will have to wait before being checked for weapons is mathematically represented as

$P_k = \frac{\lambda }{ \mu }$

=> $P_k = \frac{10 }{ 12}$

=> $P_k = 0.83$

Generally the number of passengers are waiting in line to enter the checkpoint is mathematically represented as

$N_{\mu} = \frac{\lambda^2}{\mu (\mu -\lambda) }$

=> $N_{\mu} = \frac{10^2}{12 (12 -10) }$

=> $N_{\mu} \approx 4 \ passengers$

Generally the average time a passenger spend at the checkpoint is mathematically represented as

$T_{\lambda} = \frac{ \frac{\lambda}{(\mu - \lambda)} }{ \lambda}$

=> $T_{\lambda} = \frac{ \frac{ 10}{(12 - 10)} }{10}$

=> $T_{\lambda} = 0.5 \ minutes$

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1 year ago

a rectangular pool measures 4 yd by 5yd a concrete deck of uniform width is constructed around the pool. the deck anf pool togey

kondor19780726 [428]

To find the decks area we subtract the pool from the total so we times 4 by 5 to get 20 subtracting that from 90 gives us 70 square yards and we then find the square root and get 8.36660026534076

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1 year ago

LK is tangent to circle J at point K. What is the length of the radius? 6/25 85/12 121/36 157/12

schepotkina [342]

Answer:

85/12

Step-by-step explanation:

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1 year ago

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In a collection of 1050 flowers, 3/10 of them are red , 2/5 of them are

Rainbow [258]

Answer:

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Step-by-step explanation:

1050 flowers

3/10 of them are red=> 3/10 *1050=3*105=315 red flowers

2/5, (or 4/10), are white =>4/10 * 1050=4*105=420 white flowers

=> 1050-(315+420)=1050-735=315 yellow flowers

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1 year ago