MATHEMATICS COLLEGE

F(x) =x + 3/2
For the function f defined above, what is the value of f(-1)

Answers

Answer 1
Answer:

\bf \underline{ \underline{Given : }}

f(x) =x + 3/2

\bf \underline{ \underline{To \: be \: calculated : }}

what is the value of f(-1) ?

\bf \underline{ \underline{Solution : }}

\sf{f(x) = x + (3)/(2) }

\rightarrow \sf {f( - 1) = ( - 1) + (3)/(2) }

\rightarrow \sf{f( - 1) = ( - 2 + 3)/(2) }

\rightarrow \sf{f( - 1) = ( 1)/(2) }

\rightarrow \sf {f( - 1) = 0.5}
Answer 2
Answer:

Answer:

0.5

Step-by-step explanation:

Plug in -1 as x into the function:

f(-1) = -1 + 3/2

f(-1) = 0.5

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Please help me 20 points

Ten years ago 53% of American families owned stocks or stock funds. Sample data collected by the Investment Company Institute indicate that the percentage is now 46% (the Wall Street Journal, October 5, 2012)a. Develop appropriate hypotheses such that rejection of H0 will support the conclusion that a smaller proportion of American families own stocks or stock funds in 2012 than 10 years ago.
b. Assume the Investment Company Institute sampled 300 American families to estimate that the percent owning stocks or stock funds was 46% in 2012. What is the p-value for your hypothesis test?
c. At α = .01, what is your conclusion?

Answers

Using the z-distribution, as we are working with a proportion, it is found that:

a) H_0: p = 0.53, H_1: p < 0.53

b) The p-value is of 0.0075.

c) Since the p-value of the test is of 0.0075 < 0.01 for the left-tailed test, it is found that there is enough evidence to reject the null hypothesis and conclude that a smaller proportion of American families own stocks or stock funds in 2012 than 10 years ago.

What are the hypothesis tested?

At the null hypothesis, it is tested if the proportion is still of 53%, that is:

H_0: p = 0.53

At the alternative hypothesis, it is tested if the proportion is now smaller, that is:

H_1: p < 0.53

Item a:

The hypothesis are:

H_0: p = 0.53

H_1: p < 0.53

Item b:

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{(p(1-p))/(n)}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

In this problem, the parameters are:

\overline{p} = 0.46, p = 0.53, n = 300.

Hence, the value of the test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{(p(1-p))/(n)}}

z = \frac{0.46 - 0.53}{\sqrt{(0.53(0.47))/(300)}}

z = -2.43

Using a z-distribution calculator, considering a left-tailed test, as we are testing if the proportion is less than a value, with z = -2.43, it is found that the p-value is of 0.0075.

Item c:

Since the p-value of the test is of 0.0075 < 0.01 for the left-tailed test, it is found that there is enough evidence to reject the null hypothesis and conclude that a smaller proportion of American families own stocks or stock funds in 2012 than 10 years ago.

More can be learned about the z-distribution at brainly.com/question/26454209

Answer:

a) Null hypothesis:p\geq 0.53  

Alternative hypothesis:p < 0.53  

b) z=\frac{0.46 -0.53}{\sqrt{(0.53(1-0.53))/(300)}}=-2.429  

p_v =P(Z<-2.429)=0.0076

c) So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v<\alpha so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .  

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

\hat p=0.46 estimated proportion of American families owning stocks or stock funds

p_o=0.53 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

Part a

We need to conduct a hypothesis in order to test the claim that proportion is less than 0.53 or 53%.:  

Null hypothesis:p\geq 0.53  

Alternative hypothesis:p < 0.53  

Part b

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{(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{0.46 -0.53}{\sqrt{(0.53(1-0.53))/(300)}}=-2.429  

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 provided \alpha=0.01. The next step would be calculate the p value for this test.  

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

p_v =P(Z<-2.429)=0.0076

Part c  

So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v<\alpha so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .  

Kalvin sells bottles of water at baseball games he pays 0.75 per bottle and 3.78 for the ice to keep cold let b represent the number of bottles of water he buys c represent his total cost

Answers

Answer:

3.78+.75b=c

Step-by-step explanation:

3/8+ 5/6 divided by 5

Answers

Answer:

Answer is 29/120 I think i worked it out so if it inst right truly im sorry but i belive this is the answer.

Answer:

=  13

   24

Step-by-step explanation:

3 + 5 / 5

8    6

do the division first as per the law of operation of math requires.

5 / 5  =  5 x 1  =  1

6            6    5     6

3 +  1  =   9 + 4     =  13

8     6         24           24

angle U and angle W are vertical angles. If measurement angle u = 6x+11 and measurement angle W = 10x-9, find measurement angle U.

Answers

The measure of angle U will be equal to the measure of angle W.

Because W is pronounced "double u", W = 2 * U.

Therefore U = W and U = 2 * W, so both U and W = 0.


Just kidding.

The correct answer is the smallest prime number greater than 40.

how many years (to two decimal places) will it take an investment of $17,000 to grow to $41,000 if it is invested at 2.95% compounded continuously

Answers

Answer:

30 years

Step-by-step explanation:

Given data

P=$17,000

A= $41,000

R=2.95%

the expressio for the time is

t= ln(A/P)/r

t= ln(41,000 /17000)/0.0295

t= ln(2.41176)/0.0295

t= 0.8803/0.0295

t= 29.8

about 30 years

Which of the following correctly displays 1/2 r - t

Answers

I dont have an answer but these are the choices for this question

Answer:

Where is the following for the answers
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