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2 years ago

What is a linear function?

Mathematics

2 answers:

slavikrds [6]2 years ago

8 0

linear functions are all the mathematical formulas which describe a stright line in the X & Y Axis.

Fofino [41]2 years ago

7 0

A linear function f(x)=ax +b is a graph where its line changes at a fixed rate (the value of A per X) regardless of the variable X. B is the coeffisient and tells you were the line crosses the second axis.

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It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir

Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, we find the margin of error M as such

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

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

The standard deviation is the square root of the variance. So:

$\sigma = \sqrt{484} = 22$

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

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

$5 = 1.96*\frac{22}{\sqrt{n}}$

$5\sqrt{n} = 43.12$

$\sqrt{n} = \frac{43.12}{5}$

$\sqrt{n} = 8.624$

$(\sqrt{n})^{2} = (8.624)^{2}$

$n = 74.4$

We need a sample size of at least 75.

6 0

3 years ago

Read 2 more answers

company paid $48 for 2 cases of printer paper. Each case contained 12 packages of paper. Next month the company’s office manager

Paha777 [63]

Answer:

the answer would be 384 dollars

4 0

2 years ago

What is 26% as a fraction in simplest form?

Eddi Din [679]

26% is equal to

26/100

divide the numerator and denominator by 2

13/50= is your answer!

:)

4 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Zolol [24]

Answer:

Step-by-step explanation:

Triangle DEF is a right angle triangle.

From the given right angle triangle,

DE represents the hypotenuse of the right angle triangle.

With ∠E as the reference angle,

EF represents the adjacent side of the right angle triangle.

DF represents the opposite side of the right angle triangle.

To determine EF, we would apply

trigonometric ratio

Cos θ = opposite side/hypotenuse. Therefore,

Cos 49 = EF/8

EF = 8Cos49 = 8 × 0.6561

EF = 5.2488

Rounding to the nearest tenth, it becomes 5.2

3 0

2 years ago

Keyla traveled 2155 kilometers by car to visit some relatives. If 1 km is approximately 0.62 miles, then what is the number of m

Dmitrij [34]

Answer:

1336miles.

Step-by-step explanation:

From the question we are told that;

1km represents 0.62miles

1km = 0.62miles

We are to express 2155kilometers in miles.

2155km = x miles

Find x:

Divide both equations;

1/2155 = 0.62/x

Cross multiply;

1 * x = 2155 * 0.62

x = 1,336.1miles

Hence the correct option is 1336miles.

4 0

3 years ago