Is 3x+y=12 linear or nonlinear

If you graph both sides of the equation 2(2x + 3) = 4x + 6, what will the graph look like? The graphs never intersect. The graph

koban [17]

The graphs are identical and intersect at infinitely many points.

This is because 2(2x+3) is the same as 4x+6
Distribute the outer 2 to each term inside
2 times 2x = 4x
2 times 3 = 6
So 2(2x+3) simplifies to 4x+6
Or you can think of 4x+6 factoring to 2(2x+3)

8 0

4 years ago

in a program designed to help patients stop smoking 232 patients were given sustained care and 84.9% of them were no longer smok

grandymaker [24]

Answer:

$z=\frac{0.849 -0.8}{\sqrt{\frac{0.8(1-0.8)}{232}}}=1.869$

$p_v =2*P(Z>1.869)=0.0616$

If we compare the p value obtained 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, and we can said that at 5% of significance the proportion of adults were no longer smoking after one month is not significantly different from 0.8 or 80% .

Step-by-step explanation:

1) Data given and notation

n=232 represent the random sample taken

X represent the adults were no longer smoking after one month

$\hat p=0.849$ estimated proportion of adults were no longer smoking after one month

$p_o=0.80$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

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

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.8.:

Null hypothesis: $p=0.8$

Alternative hypothesis: $p \neq 0.8$

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 $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.849 -0.8}{\sqrt{\frac{0.8(1-0.8)}{232}}}=1.869$

4) 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 $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(Z>1.869)=0.0616$

If we compare the p value obtained 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, and we can said that at 5% of significance the proportion of adults were no longer smoking after one month is not significantly different from 0.8 or 80% .

6 0

4 years ago

9*10^2 is ____ times as much as 3*10^-2<br><br> a) 3*10^4 b) 6*10^4 c) 6*10^0 d) 3* 10^-4

DochEvi [55]

Answer:

3*10^4

Step-by-step explanation:

$9 \times {10}^{2} = 900 \\ 3 \times {10}^{ - 2} = 0.03 \\ 900 \div 0.03 = 30000 \\ 30000 = 3 \times {10}^{4}$

4 0

3 years ago

A pizza delivery chain advertises that it will deliver your pizza in 30 minutes from when the order is placed. Being a skeptic,

svp [43]

Answer: B

Step-by-step explanation: So that you know you are only getting the best for what YOU PAID for.

3 0

3 years ago

Answer??????????????

Lapatulllka [165]

Ok let’s start off easy, the x and y stand for the missing number once you find those missing numbers you chose if the problems both used a same number if so it’s equivalent.if you had to use different numbers to get the answer it would be inconsistent and if you used even numbers to get the even answer than it would be consistent.i hoped that helped!

6 0

4 years ago