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k0ka [10]
3 years ago
11

F(x)=x² G(x)=(x-6)² Complete the description of the transformation

Mathematics
2 answers:
artcher [175]3 years ago
5 0
6 units to the right
Juliette [100K]3 years ago
5 0

Answer: Right by 6

Step-by-step explanation:

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-  \frac{1}{2}  {n}^{2}  + 18 = 0 \\ -  \frac{1}{2} {n}^{2}  =  - 18 \\  {n}^{2}  =  - 18 \times  - 2 \\  {n}^{2}  = 36 \\ n =   +  - \sqrt{36}  \\ n =  +  - 6

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2w + 3 = 9     <em>subtract 3 from both sides</em>

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<h3>w = 3</h3>
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A loan used for buying a home is called a mortgage.The Carey family is buying a $250,00 home. They are taking out a 15-year mort
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Step-by-step explanation:

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2 years ago
PLEASE HELP ASAP!!!<br><br> Y= [?] degrees
Elis [28]

Answer:

y = 25 degrees

Step-by-step explanation:

We start with 115° and x -

115° + x = 180°

x = 180° - 115°

x = 65°

The sum of all of the angles of a triangle will <em>always</em> be 180 degrees -

x + y + 90° = 180°

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65° + y + 90° = 180°

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6 0
2 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
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