Which of the following functions describes the graph of h(x)?

Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old

DedPeter [7]

Answer:

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=39$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The margin of error is given by:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

And replacing we got:

$ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392$

Now we have everything in order to replace into formula (1):

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

7 0

3 years ago

I need help so badly im cryiiinnngggg

kotykmax [81]

Step-by-step explanation:

<B is the right angle

<A is acute

<C is acute

<D is obtuse

7 0

3 years ago

What’s the x axis of -4x+8y=-16

balu736 [363]

Answer:

4

Step-by-step explanation:

When need to find x axis y is =0

So now you can find x

The answer of x is equally to the xaxis.

If need to find y axis then please let x =0.

4 0

3 years ago

Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.

tester [92]

Given:

Polynomial is $3x^2+15x-56$ .

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

$3x^2+15x-56+(x-8)^2$

$=3x^2+15x-56+x^2-2(x)(8)+8^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

$=3x^2+15x-56+x^2-16x+64$

On combining like terms, we get

$=(3x^2+x^2)+(15x-16x)+(-56+64)$

$=4x^2-x+8$

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is $4x^2-x+8$ .

7 0

3 years ago

Match the task to the occupation.

bekas [8.4K]

According to the information, occupations and functions are organized as follows: music editor - blends music to components of a film, sound mixer - makes recording during program production, and recording engineer - maintains and operates recording equipment.

<h3>What is an occupation?</h3>

Occupation is a term that comes from the Latin <em>occupatio</em>, which is linked to the verb to occupy (to appropriate something, reside in a home, arouse someone's interest). The concept is used as a synonym for work or labor.

According to the above, the functions and occupations that best match are:

Music editor - blends music to components of a film
Sound mixer - makes recording during program production.
Recording engineer - maintains and operates recording equipment.

Learn more about occupations in: brainly.com/question/20199800

#SPJ1

3 0

2 years ago