Which even definition corresponds to exactly one outcome of the experiment?

Helen [10]

Try it like this. it may help: Make it like a rainbow. Find out what all can go into 8 and 14. So kinda like this.

1,2 4 ,8

then just connect it, like a rainbow, hence the name.

Hope that helped!

6 0

3 years ago

g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a

Helga [31]

Answer:

The sample size needed is 2401.

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

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

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use $\pi = 0.5$

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

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}$

$n = 2401$

The sample size needed is 2401.

7 0

2 years ago

Read 2 more answers

Determine whether the following function is one-to-one. f ( x ) = 6 x + 1

seraphim [82]

Answer:

one to one function

Step-by-step explanation:

f(x)=6x+1 can only be a one to one function when x1=x2

Now,

f(x1)=f(x2)

or, 6x1 + 1 = 6x2 + 1

or, 6x1 = 6x2

or, x1 = x2

So f(x)= 6x + 1 is a one to one function

4 0

2 years ago

A line segment has endpoints P(-1,5)and Q(5,2) find the coordinate of that trisect the segment

musickatia [10]

Answer:

(1, 6). The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)

Step-by-step explanation:

Moving from P to Q, we see that x increases by 6 and y increases by 3.

"Trisect" means "divide into three equal subintervals."

We find (1/3) of 6 (which comes out to 2) and (1/3) of 3 (which comes out to 1).

Thus, the first junction (between 1st and 2nd trisection) is (-1 + 2, 5 + 1), or (1, 6). The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)

5 0

2 years ago

Graph the line whose y-intercept is -7 and whose x-intercept is 1

vesna_86 [32]

Answer:

$y=7x -7$

Step-by-step explanation:

We are given two points, the y - intercept and the x - intercept.

The y - intercept being: ( 0, -7 )

The x - intercept being: ( 1, 0 )

The equation of a line in slope - intercept form is:

y = mx + b, where m is the slope and b is the y - intercept.

We already have the y - intercept. So far we have:

y = mx - 7

What we're missing is the slope.

To find the slope, we can use this formula:

$\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ , where $x_{2}$ and $x_{1}$ are the x - coordinates of both points and $y_{2}$ and $x_{1}$ are the y - coordinates of both points.

$m=\frac{0-(-7)}{1-0} \\\\m=\frac{7}{1}\\m=7$

We now have the missing piece, the slope, so the equation now is:

$y=7x -7$

3 0

2 years ago