Simplify the expression.

A magazine has 120 pages. There are 28 full-page ads and 12 half-page ads. The rest of the magazine consists of articles.

Finger [1]

Answer:

120 = 28 + 12(½) + X

Where X is the no. of pages of articles

120 = 28 + 6 + X

X = 120 - 34

X = 86

4 0

3 years ago

Read 2 more answers

An automobile manufacturer claims that its van has a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contra

Yuliya22 [10]

Answer:

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

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

$p_v =2*P(z$

If we compare the p value and the significance level given $\alpha=0.02$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is NOT significantly different from 31.3 at 2% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=31.1$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation for the sample

$n=140$ sample size

$\mu_o =31.3$ represent the value that we want to test

$\alpha=0.02$ represent the significance level for the hypothesis test.

z 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 can assume that we conduct a hypothesis in order to check if the true mean is equal to 31.3 , the system of hypothesis would be:

Null hypothesis: $\mu =31.3$

Alternative hypothesis: $\mu \neq 31.3$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

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

z-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:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

P-value

Since is a two-sided test the p value would be:

$p_v =2*P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.02$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is NOT significantly different from 31.3 at 2% of signficance.

5 0

3 years ago

Write an equation for: The quotient of a number and eight is five less than the number.

strojnjashka [21]

$\frac{n}{8} = n - 5$

5 0

3 years ago

3x+4y=12 6x+2y=6 rewrite each equation and soap intercept form

miskamm [114]

Move 4y to the front so it should be 4y=12-3x
Divide the equation like how I did in the picture above then you should have y=3-3/4x
Then you switch it to y=-3/4x+3 and that's your answer.

Now for 6x+2y=6

Move 2y to the front so it looks like 2y=6-6x
Then you divide the equation by 2 like in the photo above and that should give you y=3-3x
Finally you switch the equation to y=-3x+3 because we are using the Slope Intercept Form. (Y=mx+b). That's your answer.

Sorry if my handwriting is bad.

5 0

3 years ago

plays on a basketball team in two games he scored three fifth of the total number of points his team scored his team scored 60 p

Alexus [3.1K]

48 points

60×(3/5)=36
20×(3/5)=12
36+12=48

Another way is

60+20=80
80×(3/5)=48

8 0

3 years ago