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2 years ago

Write down the nth term of the sequence 5, 8, 13, 20, 29

1 answer:

8 0

Hello! To find any number in the arithmetic sequence we can use a formula!

It is given by $a_n =a_1+(n-1)d$

The geometric sequence formula goes by $S_n = \frac{a_1(1-r^n)}{1-r}$

So for this we notice that there's a start of 5 and is being added 3 to get 8.

and then each time it is added by 2 more to get the next time

5
5+ 3 = 8
8 + 5 = 13
13 + 7 = 20
20 + 9 = 29
29 + 11 = 41
41 + 13 = 54
54 + 15 = 69
69 + 17 = 83

Your formula is $a_n = (n-1)^2 + 4

$
Where n starts at 2 not 1

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Write a function rule for the statements

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Step-by-step explanation:

x. | y

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Is this correct?

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2 years ago

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Alexia's bathroom has a tub in the shape of a rectangular prism with a length of 1.5 meters, a width of 0.5 meter, and a height

disa [49]

The answer would be 0.3m^3 . Good luck! :)

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3 years ago

Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 18, 1

BigorU [14]

Answer:

a: Sample mean: 20, Sample standard deviation: 1.732

b: 19.13 <µ < 20.87

c: 18.84< µ < 21.16

d: as the confidence level increases, the interval becomes wider

Step-by-step explanation:

a: Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.

Sample standard deviation is the square root of the variance

See the first attached photo for the calculations of these values.

We need to create a 80% confidence interval for the population. Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.

Look for the column on the t-distribution chart that has "area in two tails" of 0.20 (80%), and row 7 (degree of freedom)

The t-value is 1.415

See the second attached photo for the construction of the confidence interval

We need to create a 90% confidence interval for the population. Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.

Look for the column on the t-distribution chart that has "area in two tails" of 0.10 (90%), and row 7 (degree of freedom)

The t-value is 1.895

See the third attached photo for the construction of the confidence interval

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3 years ago

Can someone help me, i rlly need this grade

IRINA_888 [86]

Answer:

the first slot is 6.3 and the second is 14.7

Step-by-step explanation:

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3 years ago

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I have some questions regarding combinations in finite. Here is my first one I am stumped on:

podryga [215]

We will get the number of possible selections, and then subtract the number less than 25 cents.

We can choose the number of dimes 5 ways 0,1,2,3 or 4.
We can choose the number of nickels 4 ways 0,1,2 or 3.
We can choose the number of quarters 3 ways 0,1, or 2.

That's 5*4*3 = 60 selections

Now we must subtract from the 60 the number of selections of coins that are less than 25 cents. These will involve only dimes and nickels.

To get a selection of coin worth less than 25 cents:
If we use no dimes, we can use 0,1,2 on all 3 nickels.
That's 4 selections less than 25 cents. (that includes the choice of No coins at all in the 60, which we must subtract).

If we use exactly 1 dime , we can use 0,1,2, or all 3 nickels.
That's the 3 combinations less than 25 cents.

And there is 1 other selection less than 25 cents, 2 dimes and no nickels.

So that's 4+3+1 = 8 selections which we must subtract from the 60.

Answer 60-8 = 52 selections of coins worth 25 cents or more.

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3 years ago