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
Genrish500 [490]
3 years ago
6

F(x) = 3x^2-3x + 1 Find f (-2)

Mathematics
1 answer:
Oxana [17]3 years ago
8 0

Answer:

19

Step-by-step explanation:

f(x) = 3x^2-3x + 1

Let x = -2

f(-2) = 3( -2)^2-3*-2 + 1

       = 3 * 4+6+1

       = 12 +6+1

       = 19

You might be interested in
In a survey of 1000 women age 22 to 35 who work full time, 540 indicated that they would be willing to give up some personal in
morpeh [17]

Answer:

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

p_v =P(Z>2.530)=0.0057  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of women indicated that they would be willing to give up some personal in order to make more money  is significantly higher than 0.5.  

The 95% confidence interval would be given by (0.509;0.571)

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

X=540 represent the women indicated that they would be willing to give up some personal in order to make more money

\hat p=\frac{540}{1000}=0.54 estimated proportion of women indicated that they would be willing to give up some personal in order to make more money

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the majority of woman age 22 to 35 who work full-time would be willing to give up some personal time for more money.:  

Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(Z>2.530)=0.0057  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of women indicated that they would be willing to give up some personal in order to make more money  is significantly higher than 0.5.  

Confidence interval

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 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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:

0.54 - 1.96\sqrt{\frac{0.54(1-0.54)}{1000}}=0.509

0.54 + 1.96\sqrt{\frac{0.54(1-0.54)}{1000}}=0.571

The 95% confidence interval would be given by (0.509;0.571)

5 0
3 years ago
What are the real numbers x and y in 4+2yi=6x+12i
trasher [3.6K]

im not sure what your asking cause im dumb but i think its, y=3x+4

5 0
3 years ago
Can you please help me:)
svp [43]

Answer:

c

Step-by-step explanation:

yes c

4 0
2 years ago
a right triangle has the coordinates a(6,0), b(0,0) and c(0,8). what is the perimeter of the triangle
Mrac [35]

Answer:

28

Step-by-step explanation:

sry if I'm wrong although I used calculator

8 0
3 years ago
Tracy invests $1,000 into a mutual fund which
dezoksy [38]
$2800

Please mark brainliest
7 0
2 years ago
Other questions:
  • If 5x+2=12,then 3x=?​
    12·2 answers
  • The floor of the school art closet is being tiled. The closet is shaped like a parallelogram. The parallelogram has a base of 17
    13·1 answer
  • Sandy wants to cover a wooden cylinder with a diameter of 1 ft and a height of 4 ft with carpet to build a scratching post for h
    6·1 answer
  • How are 2^-3 and 2^3 are related
    11·2 answers
  • Is 54/100 greater than 7/12
    7·1 answer
  • Which word expression represents the algebraic expression shown?<br><br> 12 – 3x
    13·1 answer
  • Which fraction shows the probability that lily will flip a heads, a tails, and then heads
    9·1 answer
  • Simplify this expression.<br><br> -12/3x(-8+(-4)^-6)+2<br><br> Please show step by step :)
    14·1 answer
  • 4x^2-y^2 how do you factorize this? with steps pls:)
    13·1 answer
  • HELP HELP HELP HELP HELP<br>i need clear explanation​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!