Solve the inequality 12x + 3(x+7) >10x-24

<img src="https://tex.z-dn.net/?f=%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%7B16%7D%5E%7Bx%7D%20" id="TexFormula1" title=" {x}^{2}

aalyn [17]

The value of x is -1/2 or -.5

4 0

3 years ago

An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted t

erastova [34]

Answer:

$z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23$

The p value would be given by:

$p_v =2*P(z$

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

$\bar X=46.5$ represent the mean

$\sigma=1.1$ represent the population standard deviation

$n=150$ sample size

$\mu_o =46.7$ represent the value to verify

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

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:

Null hypothesis: $\mu = 46.7$

Alternative hypothesis: $\mu \neq 46.7$

Since we know the population deviation the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing we got:

$z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23$

The p value would be given by:

$p_v =2*P(z$

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

7 0

3 years ago

Consider the sets A={1,3,5,7} and B={11,13,15,21}.

katovenus [111]

Those should be odd integers if I’m wrong let Me know and I’ll fix it for you

4 0

3 years ago

Y=f(x) = (1/2)<br> Find f(x) when x = 1

sammy [17]

The value of function on x=1 is 0.5

Step-by-step explanation:

In order to find the value of a function on given input, the input is put at the place of variable in the function.

Given function is:

$f(x) = (\frac{1}{2})^x$

We have to find the value of function on x = 1

Putting x = 1 in function

$f(1) = (\frac{1}{2})^1\\= \frac{1}{2}\\= 0.5$

Hence,

The value of function on x=1 is 0.5

Keywords: Functions variables

Learn more about functions at:

LearnwithBrainly

7 0

3 years ago

Please help this is confusing

Lena [83]

Answer: yeah it makes sense is that 2 to the power of nothing

Step-by-step explanation:

5 0

3 years ago