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Dahasolnce [82]
3 years ago
7

Write an explicit formula for an , the nth term of the sequence 29, 19, 9, ....

Mathematics
1 answer:
Anna35 [415]3 years ago
6 0

Answer:

a_{n} = 39 - 10n

Step-by-step explanation:

There is a common difference between consecutive terms , that is

19 - 29 = 9 - 19 = - 10

This indicates the sequence is arithmetic with nth term ( expicit formula )

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 29 and d = - 10 , then

a_{n} = 29 - 10(n - 1) = 29 - 10n + 10 = 39 - 10n

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Answer:

284.24

Step-by-step explanation:

by multiplying 0.68 to 418 we get 68% of 418

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3 years ago
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Jada rode her bike at a constant speed for 3 hours. During that time, she traveled 7.2 miles. What was Jada's riding speed?
NeTakaya

Answer: 2.4 miles per hour

Step-by-step explanation: just do 7.2/3=2.4

or another way you could do this is do 2.4 x 3=7.2

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3 years ago
A chicken salad recipe calls for 1 8
NARA [144]

Answer: 1.0625\ pounds or \frac{17}{16}\ pounds

Step-by-step explanation:

The complete exercise is: "A chicken salad recipe calls for \frac{1}{8} pound of chicken per serving . How many pounds of chicken are needed to make 8\frac{1}{2}  serving".

You can convert the Mixed number to a Decimal number. Divide the numerator 1 by the denominator 2 and then add the quotient to the Whole number. Then, you get:

8+0.5=8.5

Now divide the numerator 1 by the denominator 8 to write the fraction to a Decimal number. Then:

\frac{1}{8}= 0.125

Let be "x" the amount of pounds are needed to make 8\frac{1}{2}  serving.

Then, you can set up the following proportion:

\frac{1}{0.125}=\frac{8.5}{x}

Solving for "x", you get:

\frac{1}{0.125}=\frac{8.5}{x}\\\\x(\frac{1}{0.125})=8.5\\\\x=8.5*0.125\\\\x=1.0625

or \frac{17}{16}\ pounds

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3 years ago
Plz help :( what is 10,000,000(20)^10 !?
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Answer: 102,400,000,000,000,000,000

Step-by-step explanation:

First do 20^10 = 10,240,000,000,000.  

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3 years ago
The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of si
OverLord2011 [107]

Answer:

a) P(x=3)=0.089

b) P(x≥3)=0.938

c) 1.5 arrivals

Step-by-step explanation:

Let t be the time (in hours), then random variable X is the number of people arriving for treatment at an emergency room.

The variable X is modeled by a Poisson process with a rate parameter of λ=6.

The probability of exactly k arrivals in a particular hour can be written as:

P(x=k)=\lambda^{k} \cdot e^{-\lambda}/k!\\\\P(x=k)=6^k\cdot e^{-6}/k!

a) The probability that exactly 3 arrivals occur during a particular hour is:

P(x=3)=6^{3} \cdot e^{-6}/3!=216*0.0025/6=0.089\\\\

b) The probability that <em>at least</em> 3 people arrive during a particular hour is:

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c) In this case, t=0.25, so we recalculate the parameter as:

\lambda =r\cdot t=6\;h^{-1}\cdot 0.25 h=1.5

The expected value for a Poisson distribution is equal to its parameter λ, so in this case we expect 1.5 arrivals in a period of 15 minutes.

E(x)=\lambda=1.5

3 0
3 years ago
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