PLEASE HELP ASAP 25 PTS

Solve 0.6(10n + 25) = 10 + 5n ?

Pachacha [2.7K]

Answer: $x=-5$

Simplify both sides of the equation

$(0.6)(10n)+(0.6)(25)=10+5n(Distribute)\\6n+15=10+5n\\6n+15=5n+10$

Subtract 5n from both sides

$6n+15-5n=5n+10-5n\\n+15=10$

Subtract 15 from both sides

$n+15-15=10-15\\n=-5$

5 0

4 years ago

Read 2 more answers

According to a Washington Post-ABC News poll, 331 of 502 randomly selected U.S. adults interviewed said they would not be bother

k0ka [10]

Answer:

$z=\frac{0.659 -0.5}{\sqrt{\frac{0.5(1-0.5)}{502}}}=7.124$

$p_v =P(z>7.124)=5.24x10^{-13}$

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 interest is significantly higher than 0.5.

Step-by-step explanation:

Data given and notation

n=502 represent the random sample taken

X=331 represent the adults that said they would not be bothered if the NAtional security agency

$\hat p=\frac{331}{502}=0.659$ estimated proportion of people who would not be bothered if the NAtional security agency

$p_o=0.5$ 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

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than the majority of 0.5:

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:

$z=\frac{0.659 -0.5}{\sqrt{\frac{0.5(1-0.5)}{502}}}=7.124$

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 right tailed test the p value would be:

$p_v =P(z>7.124)=5.24x10^{-13}$

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 interest is significantly higher than 0.5.

4 0

4 years ago

Give an equation which describes the intersection of this sphere with the plane z=0z=0.

Lady bird [3.3K]

C=(x0,y0,z0)C=(x0,y0,z0) and radius rr.

(x−x0)2+(y−y0)2+(z−z0)2=r2(x−x0)2+(y−y0)2+(z−z0)2=r2

4 0

3 years ago

What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth.

kicyunya [14]

If treasure is midway of two points then treasures point is(x1+x2/2,y1+y2/2)

16+3/2, 21+2/2

Else any point shown byyour options is treasure's point

8 0

3 years ago