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shepuryov [24]
2 years ago
6

Using the recursive formula of a geometric sequence, find the first five sequences: An=An-1 • 2

Mathematics
1 answer:
Lelechka [254]2 years ago
6 0
How: substitute the known value of An-1 to compute An. Repeat.

In order to do this, you need to know A0 or A1, which you have not given.

In terms of A1, the first 5 terms are
.. A1 = (needs to be given)
.. A2 = 2*A1
.. A3 = 2*A2 = 2*2*A1 = 4*A1
.. A4 = 2*A3 = 2*4*A1 = 8*A1
.. A5 = 2*A4 = 2*8*A1 = 16*A1

If you know A1, you can find the other 4 terms of the first 5 terms. If you don't know A1, this is the answer.
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A car dealership has found that the length of time before a major repair is required on the new cars it sells is normally distri
weqwewe [10]

Answer:

Step-by-step explanation:

Hello!

The variable of interest in this case is:

X: length of time before a major repair is required on a new car. (months)

This variable has a normal distribution with mean μ= 36 months and a standard deviation σ= 9 months.

If he wants to set a guarantee period in which only 5% of the sold cars fell, the objective is to find the value of X that has below 5% of the cars that need major repairs before the end of the guarantee period.

Check the attachment, the curve represents the distribution of the population of the time it takes before a new car needs major repairs, I've marked approximately where this value of X should be.

Symbolically:

P(X≤a)=0.05

To reach the proper value of "a" you have to work using the standard normal distribution because is a tabulated distribution and you can extrapolate it to any normal distribution.

Z= \frac{X-Mu}{Sigma}~N(0;1)

So the first step is to look in the table of the Z distribution for the value that accumulates 0.05 of probability since it is such a low probability, you have to look for the value in the left side of the table (negative values of Z). You look for 0.05 in the body of the table and then the margins for the corresponding value (see second attachment)

Z_{0.05}= -1.64

Then the value that accumulates 0.05 of probability is -1.64, now you have to reverse the standardization to reach the asked value of X

Z= (a- μ)/σ

(Z*σ)= a - μ

a=(Z*σ)+ μ

a=(-1.64*9)+36

a= 21.24 months.

The guarantee period should be 21.24 months so that only 5% of the sold cars will need major repairs before it wears of.

I hope it helps!

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3 years ago
What is the value of y? Assume that the line is tangent to the circle
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Answer:

c 120

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I'm thinking isit is c120

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5) 74.925

6) 470

i think this is correct but i'm not completely sure

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