Determine if 0.734862... is Rational or Irrational

The figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.

Mila [183]

We know angle x=y(vertically opposite angles)

Since 3 angles lie on a straight line,

y+60+70=180 (linear pair)

y+130=180

y=180-130

y=50 degrees

7 0

3 years ago

What information does the standard form the equation of a line give you?

Butoxors [25]

I assume you are referencing y=mx+b. The equation gives you the slope of the line (m), and a coordinate (x, y). As well as b, which could be used for many things.

8 0

3 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

3 years ago

Nick was playing a game with his friends. In the game, he received points for correct answers and lost points for incorrect answ

HACTEHA [7]

Answer:

-7

Step-by-step explanation:

because 15-22= -7

he started at 0, gained 15 points but then lost 22, so after the two problems he'd have a score of -7.

3 0

3 years ago

Please no links or files

Nana76 [90]

Answer:

A

Step-by-step explanation:

2.25 > 1 5/6 > 1/2 > -1.5 > -3 1/4

6 0

2 years ago

Read 2 more answers