19. Evaluate f(x) = -x² + 1 for x = -3. -4 -9 -8 4

A realtor predicts that the value of a $70,000 home will increase by the same percentage each year, and will increase by 8% ever

mina [271]

Answer:

$f(n)=70,000(1.08)^{0.25n}$

3 0

3 years ago

A functionf(x) is graphed on the coordinate plane.

ollegr [7]

Answer:

y = -1/2x +1

Step-by-step explanation:

The y intercept is 1 (this is where it crosses the y intercept)

(0,1) and (2,0) are two points on the line

The slope is given by

m = (y2-y1)/(x2-x1)

= (0-1)/(2-0)

= -1/2

The slope is -1/2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = -1/2x +1

8 0

3 years ago

Read 2 more answers

An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry ou

Katyanochek1 [597]

Answer:

$t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17$

$p_v =P(t_{(5)}$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

Step-by-step explanation:

Data given and notation

The mean and sample deviation can be calculated from the following formulas:

$\bar X =\frac{\sum_{i=1}^n x_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)}{n-1}}$

$\bar X=29.35$ represent the sample mean

$s=1.365$ represent the sample standard deviation

$n=6$ sample size

$\mu_o =30$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is lower than 30 or no, the system of hypothesis are :

Null hypothesis: $\mu \geq 30$

Alternative hypothesis: $\mu < 30$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17$

P-value

We need to calculate the degrees of freedom first given by:

$df=n-1=6-1=5$

Since is a one-side left tailed test the p value would given by:

$p_v =P(t_{(5)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

5 0

3 years ago

3x^2-12x-21=0 solve by completing the square

morpeh [17]

Answer:

x = 2 ± √11 (I believe)

Step-by-step explanation:

3 0

3 years ago

I need major help pleaseeeeeeeeeeeeee

sveta [45]

Just make a triangle and an X and Y axis and reflect it over the Y axis. It's that simple. Then tell how you did it. Obviously it will be a reflection. Name the points (before and after) and you are done.

-Twix

4 0

3 years ago