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4 years ago

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The first two terms in a sequence are 13 and 21. Each subsequent term is the mean of The two previous terms. What is the fifth t

erm in the sequence?
Please may you answer fast thank you.

1 answer:

bulgar [2K]4 years ago

3 0

The fifth term in the sequence would have to be eighty-nine.

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Find the minimum sample size needed to estimate the percentage of Democrats who have a sibling. Use a 0.1 margin of error, use a

Brums [2.3K]

Answer:

The minimum sample size is $n =135$

Step-by-step explanation:

From the question we are told that

The confidence interval is $( lower \ limit = \ 0.44,\ \ \ upper \ limit = \ 0.51)$

The margin of error is $E = 0.1$

Generally the sample proportion can be mathematically evaluated as

$\r p = \frac{ upper \ limit + lower \ limit }{2}$

$\r p = \frac{ 0.51 + 0.44}{2}$

$\r p = 0.475$

Given that the confidence level is 98% then the level of significance can be mathematically evaluated as

$\alpha = 100 - 98$

$\alpha = 2\%$

$\alpha =0.02$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

The value is

$Z_{\frac{\alpha }{2} } = 2.33$

Generally the minimum sample size is evaluated as

$n =[ \frac { Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p (1- \r p )$

$n =[ \frac { 2.33}{0.1} ]^2 * 0.475(1- 0.475 )$

$n =135$

6 0

4 years ago

A farmer needs 3x2 − 4x + 10 seeds for each of x3 + 5x − 20 fields. What expression would represent the seeds the farmer needs t

Fittoniya [83]

Answer:

Step-by-step explanation:

(3x^2-4x+10)(x^3+5x-20) = $3x^5-4x^4+25x^3-80x^2+130x-200$

x=1 is not a good value since when you plug it in you get -126 and you can't have a negative number of seeds.

7 0

3 years ago

Find y as a function of x if y"' + 9y' = 0, y(0) = 6, y'(0) = 9, y"(0) = 18. y(x) =

Andreas93 [3]

Answer:

y(x) = 8 - 2cos 3x + 3sin 3x

Step-by-step explanation:

Given the equation:

y''' + 9y' = 0

The characteristic equation :

⇒r³ + 9r =0

Solving for r, we get r = 0 and r = ± 3i

The general equation for such equation is :

<u>y = C₁ + C₂cos 3x + C₃sin 3x</u>

Given:

y(0) = 6

Thus, Applying in the above equation, we get

<u>6 = C₁ + C₂ .......................................................1</u>

Differentiating y , we get:

<u>y' = -3C₂sin 3x + 3C₃cos 3x</u>

Given:

y'(0) = 9

Thus, Applying in the above equation, we get

<u>9 = 3C</u><u>₃</u>

or,

<u>C</u><u>₃</u><u> = 3</u>

Differentiating y' , we get:

<u>y'' = -9C₂cos 3x - 9C₃sin 3x</u>

Given:

y''(0) = 18

Thus, Applying in the above equation, we get

<u>18 = -9C</u><u>₂</u>

or,

<u>C</u><u>₂</u><u> = -2</u>

Applying in equation 1 , we get:

<u>C₁ = 8</u>

Thus,

<u>y(x) = 8 - 2cos 3x + 3sin 3x</u>

4 0

4 years ago

What is the area of this triangle?

Sladkaya [172]

Answer: wide angle to feet over dgress 350

Step-by-step explanation:

7 0

3 years ago

What is 4/5% of 500 rounded to the nearest hundredth

elena-s [515]

Answer: 4/5% of 500 rounded to the nearest hundredth is 400

Step-by-step explanation:

i would say to solve 4/5 and then put 500 as the denominator next to it then 5x100 is 500 then times 4 times 100 which is 400.

6 0

3 years ago