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3 years ago

Which of the following will make a confidence interval narrower and more precise?

Mathematics

1 answer:

swat323 years ago

6 0

Answer:

B. Larger sample size and lower confidence level

Step-by-step explanation:

The margin of error of a confidence interval is given by the following formula:

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

z is related to the confidence level. The higher the confidence level, the higher the value of Z.

So, the margin of error is direct proportion to the confidence level and inverse proportional to the sample size.

We want to decrease the margin of error.

So the correct answer is:

B. Larger sample size and lower confidence level

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Drina wrote the system of linear equations below.

zalisa [80]

Answer:

Option c, A square matrix

Step-by-step explanation:

Given system of linear equations are

$3x-2y=-2\hfill(1)$

$7x+3y=26\hfill(2)$

$-x-11y=46\hfill(3)$

Now to find the type of matrix can be formed by using this system

of equations

From the given system of linear equations we can form a matrix

Let A be a matrix

A matrix can be written by

A=co-efficient of x of 1st linear equation co-efficient of y of 1st linear equation constant of 1st terms linear equation

co-efficient of x of 2st linear equation co-efficient of y of 2st linear equation constant of 2st terms linear equation

co-efficient of x of 3st linear equation co-efficient of y of 3st linear equation constant of 3st terms linear equation $3\times 3$

which is a $3\times 3$ matrix.

Therefore A can be written as

A= $\left[\begin{array}{lll}3&-2&-2\\7&3&26\\-1&-11&46\end{array}\right] 3\times 3$

Matrix "A" is a $3\times3$ matrix so that it has 3 rows and 3 columns

A square matrix has equal rows and equal columns

Since matrix "A" has equal rows and columns Therefore it must be a square matrix

Therefore the given system of linear equation forms a square matrix

7 0

2 years ago

Read 2 more answers

Write an inequality. Thank you! PLEASE ANSWER IMMEDIATELY!

guapka [62]

Answer:

m > 2

Step-by-step explanation:

Since it is an open dot, it is not greater than or equal to, but rather just greater than.

Then, since the arrow goes to the right, the equation is greater than.

8 0

2 years ago

Write the equation for the line that goes through the point (5, 12) with a slope m = 10

Iteru [2.4K]

Answer:

Point-slope form: y - 12 = 10 (x - 5)

Slope-Intercept form: y= 10x - 38

Step-by-step explanation:

im not fully sure which equation ur looking for but i think thats right lol. hopefully this helps ! :)

3 0

2 years ago

Four more than three times n equals -5

Verizon [17]

3n+4=-5

do the opposite of adding 4. this means you have to subtract 4 from 4. whatever you do to the problem, you must do to the answer. now subtract 4 from -5.

-5-4=-9

since 4-4=0, we can take 4 out of the equation. now you have:

3n=-9

now divide -9 by 3

-9/3=-3

n=-3

hope this helps :)

5 0

3 years ago

8−i

GalinKa [24]

Hi Veracity,

Answer:

(2 + i) = 2

Step-by-step explanation:

Multiply the denominator and numerator by the conjugate,

= $\frac{(8 - i)(3 + 2i)}{13}$

Combine Like Terms,

= $\frac{26 + 13i}{13}$

Simplify,

= 2 + i

Hope This Helps :)

3 0

2 years ago