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sleet_krkn [62]

3 years ago

7

3/4, 1, 5/4 find the 22nd & 43rd terms

1 answer:

natali 33 [55]3 years ago

6 0

Answer:

6 and 45/4

Step-by-step explanation:

If the first three terms of your sequence are 3/4, 1, 5/4, the first term is obviously 3/4 and the common difference is 1/4. This is an arithmetic sequence.

We can write a general formula for the nth term of this sequence as follows:

a(n) = a(1) + (n-1)(1/4), or, since a(1) = 3/4,

a(n) = 3/4 + (n-1) / 4

Then a(22) = 3/4 + (22-1)/4, or 3/4 + 21/4, or 24/4, or just 6.

a(43) = 3/4 + (43-1)/4, or 3/4 + 42/4, or 45/4.

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Order these triangle with equal sides from least to greatest the triangles are equilateral scalene and isosceles

algol [13]

Answer:

equilateral

isosceles

scalene

7 0

3 years ago

A news station would like to conduct an exit poll to determine the likelihood that a highly debated amendment will receive enoug

vladimir1956 [14]

Answer:

The expression is $n = (\frac{1.645*0.5}{0.03})^2$

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

What expression would give the smallest sample size that will result in a margin of error of no more than 3 percentage points?

We have to find n for which M = 0.03.

We have no prior estimate for the proportion, so we use $\pi = 0.5$ . So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.645*0.5$

$\sqrt{n} = \frac{1.645*0.5}{0.03}$

$(\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2$

$n = (\frac{1.645*0.5}{0.03})^2$

The expression is $n = (\frac{1.645*0.5}{0.03})^2$

3 0

3 years ago

I NEED HELP PLEASE, THANKS! Use Cramer's Rule to find the solution of the system of linear equations, if a unique solution exist

iren2701 [21]

Answer:

Option B

Step-by-step explanation:

We are given the following system of equations -

$\begin{bmatrix}-5x+2y-2z=26\\ 3x+5y+z=-22\\ -3x-5y-2z=21\end{bmatrix}$

Now by Cramer's Rule, we would first write down the matrix of the coefficients , replacing each column with the answer column -

$\begin{bmatrix}-5&2&-2\\ 3&5&1\\ -3&-5&-2\end{bmatrix}$ ,

$\begin{bmatrix}26\\ -22\\ 21\end{bmatrix}$

Replace each column of the coefficients shown at the top, with the answer column at the bottom respectively -

$\begin{bmatrix}-5&2&26\\ 3&5&-22\\ -3&-5&21\end{bmatrix}$

Now solve through Cramer's Rule -

x = Dx / D = - 6,

y = Dy / D = - 1,

z = Dz / D = 1

<u><em>Solution = ( - 6, - 1, 1 ) = Option B</em></u>

8 0

4 years ago

Please I need this ASAP

dimaraw [331]

Answer:

C

Step-by-step explanation:

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3 years ago

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4 years ago