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3 years ago

100 POINTS! PLEASE HELP ME

Mathematics

2 answers:

choli [55]3 years ago

5 0

Answer:

f(n) = 2 * f(n - 1) + 1

Step-by-step explanation:

First, notice that the difference between each neighboring term is different, so it is not linear, so we can rule out A and B. Now, it's all about finding a pattern. Eventually, through guess and check, you will get 2 * f(n - 1) + 1.

Perhaps there was a typo in C? Idk!!

Eddi Din [679]3 years ago

4 0

Answer:

f(n) = 2f(n-1)+1

Step-by-step explanation:

5, 11, 23 , 47, 95, .....

+6 +12 +24 + 48

Notice we are 1 less then what we add the next time

5 = 2*3 -1

11 = 2*2*3 -1

23 = 2*2*2 *3 -1

The formula is

3* 2^(n) -1

Lets check the 4th term

3 ^ 2^4 -1

3*16 -1

48 -1 = 47

So this works

To get from the previous term

We 5*2 +1 =11

11*2 +1 = 22+1 = 23

23*2 +1 = 46+1 = 47

an = 2an+1

f(n) = 2f(n-1)+1

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3 years ago

Read 2 more answers

A paint manufacturer uses a machine to fill gallon cans with paint (1 galequals128 ounces). The manufacturer wants to estimate

kvasek [131]

Answer:

a) To determine the minimum sample size we need to use the formula shown in the picture 1.

E is the margin of error, which is the distance from the limits to the middle (the mean) of the confidence interval. This means that we have to divide the range of the interval by 2 to find this distance.

E = 0.5/2 = 0.25

Now we apply the formula

n = (1.645*0.80/0.25)^2 = 27.7 = 28

The minimum sample size would be 28.

b) To answer the question we are going to make a 90% confidence interval. The formula is:

(μ - E, μ + E)

μ is the mean which is 127. The formula for E is shown in the picture.

E = 0.80*1.645/√8 = 0.47

(126.5, 127.5)

This means that the true mean is going to be contained in this interval 90% of the time. This is why it doesn't seem possible that the population mean is exactly 128.