Please help the image is attached

The table lists the values for two parameters, x and y, of an experiment. What is the estimated value of x for y = 0.049?

Scilla [17]

Right answer is 20.4

4 0

3 years ago

Read 2 more answers

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the a

Doss [256]

Using the z-distribution, it is found that she should take a sample of 46 students.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

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

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:

$6\sigma = 800 - 200$

$6\sigma = 600$

$\sigma = 100$

The sample size is n when M = 29, hence:

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

$29 = 1.96\frac{100}{\sqrt{n}}$

$29\sqrt{n} = 196$

$\sqrt{n} = \frac{196}{29}$

$(\sqrt{n})^2 = \left(\frac{196}{29}\right)^2$

n = 45.67.

Rounding up, a sample of 46 students should be taken.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0

2 years ago

Given the following exponential function, identify whether the change represents growth or decay , and determine the percentage

jenyasd209 [6]

Answer:

It is growth and the percentage rate of increase is 7.5%

Step-by-step explanation:

The exponential equation is as follows;

y = 550(1.075)^x

Now, I can identify that the exponential equation is that of growth.

This is because what is in the bracket i.e can be represented as 1+ 0.075

The 0.075 represents the margin of increase as we move on from one value to another

The percentage rate can be gotten by expressing 0.075 as a percentage

That would be expressing is as a fraction

This is just 7.5/100 which means what we have is 7.5%

8 0

3 years ago

What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?

gizmo_the_mogwai [7]

Answer:

The equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 is $\mathbf{y=-\frac{5}{4}x+3}$

Step-by-step explanation:

We need to write an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16.

The equation will be of form $y=mx+b$ where m is slope and b is y-intercept.

Finding slope of the line:

Since both the lines are parallel, and we know that parallel lines have same slope.

The slope of given line $5x+4y=16$ can be found by writing in slope-intercept form $y=mx+b$

$5x+4y=16\\4y=-5x+16\\y=-\frac{5}{4}x+16$

Comparing with $y=mx+b$ the slope m is: $m=-\frac{5}{4}$

So, the slope of required line is: $m=-\frac{5}{4}$

Now, finding y-intercept b

y-intercept can be found using slope $m=-\frac{5}{4}$ and point (8,-7)

$y=mx+b\\-7=-\frac{5}{4}(8)+b\\-7=-5(2)+b\\-7=-10+b\\b=-7+10\\b=3$

So, we get y-intercept: b=3

Now, the equation of required line having slope $m=-\frac{5}{4}$ and y-intercept b=3 is:

$y=mx+b\\y=-\frac{5}{4}x+3$

So, the equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 $\mathbf{y=-\frac{5}{4}x+3}$

4 0

2 years ago

HELP ME IN QUESTION 10 PLS

nignag [31]

Answer:

in $5^{9}$ , 9 is not an even number, nor a multiple of 2, meaning 1,953,125 isn't a square number

Step-by-step explanation:

6 0

2 years ago