1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wel
3 years ago
11

Some day help me with this 2 question?

Mathematics
1 answer:
gregori [183]3 years ago
6 0

Answer:

As x approaches 0, f(x)=2

Step-by-step explanation:

First plug in f(x) and f(0) into the limit.

\lim_{x \to 0\0} 2x^2+1-(2(0^2)+1)/x^2\\\\, simplify things a bit

\lim_{x \to \ 0} 2x^2/x^2,   divide by x^2

\lim_{x \to \ 0} 2/1=2, as x approaches 0, f(x)=2

You might be interested in
The Ohio Department of Agriculture tested 203 fuel samples across the state
Rus_ich [418]

Answer:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

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

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The proportion estimated would be:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

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

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

3 0
3 years ago
Read 2 more answers
Simplify the expression.<br><br> [(11 - 4)^3]^2 ÷ (4 + 3)^5
MAXImum [283]

Answer:

<h2>7</h2>

Step-by-step explanation:

\left[\left(11\:-\:4\right)^3\right]^2\:\div \left(4\:+\:3\right)^5\\\\\frac{\left(\left(11-4\right)^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Subtract\:the\:numbers:}\:11-4=7\\\\=\frac{\left(7^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Add\:the\:numbers:}\:4+3=7\\\\=\frac{\left(7^3\right)^2}{7^5}\\\\\left(7^3\right)^2=7^6\\\\=\frac{7^6}{7^5}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{7^6}{7^5}=7^{6-5}\\\\\mathrm{Subtract\:the\:numbers:}\:6-5=1\\\\=7

5 0
3 years ago
How can you determine whether a given number makes an equation true?​
EastWind [94]

Answer:

By plotting in the number in the equation (aka where all the x’s are variables are) and seeing if it works.

Step-by-step explanation:

For example, let’s use the problem:

3x + 4 = 16

if the given number is 4, we fill it in for x-

3 (4) + 4= 16

solve to see if true:

12 + 4 = 16

16 = 16

hence, the given number 4 makes the equation true!

hopes this helps, have a great day :)

3 0
2 years ago
Plz simplify this expression:<br><br> 5x(x-4)
Bas_tet [7]
Hello! You can answer this question by using the distributive property. Basically

a(b+c) = a(b) + a(c)

Let's apply it to this expression:

5x(x-4)
=5x(x)-5x(-4)
=5x^{2} -20x)

8 0
3 years ago
Read 2 more answers
Which of the following could be used to calculate the area of the sector in the circle shown below? r=5 and 30 degrees
stich3 [128]
The answer is B.
You find the area of the circle, which is 78.5, and divide it by 30/360.
6 0
3 years ago
Other questions:
  • Find the product of 4×5
    12·2 answers
  • PLEASE HELP ME I AM ON A TEST . WILL MARK BRAINLIEST
    12·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • If fixed costs are $561,000 and the unit contribution margin is $8.00, what is the break-even point in units if variable costs a
    9·1 answer
  • Use "complete the square" to find the missing value: <br>x^2-18x+___?
    10·1 answer
  • 10^r=1 solve for r please
    8·1 answer
  • What is the area of this tile?
    8·1 answer
  • One number is seven more than the other. Their sum is fifteen. Find the numbers.
    9·2 answers
  • What is 6/10 as hundredths in fraction form
    5·1 answer
  • The endpoints of the diameter of a circle are (6,5) and (-2, 3). Which equation represents the circle?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!