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1 year ago

Does this graph represent a function?

Mathematics

1 answer:

murzikaleks [220]1 year ago

4 0

The graph doesn't represent a function

f(x) 3 because D. Yes, because each x-value has exactly one corresponding y-value.

<h3>What is a function?</h3>

It should be noted that a function simply assigns the value of each element of a particular set to the other specific element of another set.

It can be seen that in the given graph, each specific value of x from the x-axis represents a value on the y-axis. Therefore, it can be concluded that the given graph is a function because each x-value has exactly one corresponding y-value.

Learn more about graph on:

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A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. The number of subjects needed to estima

Ludmilka [50]

Answer:

$n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65$

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

Step-by-step explanation:

1) 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".

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

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

ME represent the margin of error

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

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

2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Assuming that the deviation is known we can express the margin of error is given by this formula:

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

And on this case we have that ME =\pm 3 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

Replacing into formula (b) we got:

$n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65$

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

8 0

3 years ago

What is the domain of the square root function graphed below?

erma4kov [3.2K]

Answer:

The domain of the graph must be $x\ge \:-4$ .

Therefore,

$x\ge \:-4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}$

Hence, option a is true.

Step-by-step explanation:

From the graph, it is clear that the graph is heading towards positive infinity from x=-4.

The point x=-4 is included in the graph as the starting point of the graph i.e. x=4 is showing a closed circle on x=4, and heading towards positive infinity onward.

i.e. [-4, ∞)

Hence, the domain of the graph must be $x\ge \:-4$ .

Therefore,

$x\ge \:-4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}$

Hence, option a is true.

3 0

3 years ago

Jack deposited $1,400 in his bank account. After 3 years, the account is worth $1,694. Find the simple interest rate the account

fenix001 [56]

Answer:

D. 7%

Step-by-step explanation:

5 0

2 years ago

What is the value of y?<br> Help I will mark brainliest

Alisiya [41]

Answer:

y = 9

Step-by-step explanation:

The triangle is a 45-45-90 triangle. The legs are congruent, therefore y = 9

5 0

3 years ago

Can I get help with this?

Trava [24]

Answer:

arc AE = 125 deg

Step-by-step explanation:

As the property of angle at the center O of a circle:

angle AOE = arc AE

=> arc AE = 125 deg

Hope this helps!

6 0

3 years ago