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lana66690 [7]
2 years ago
9

Chris is six years older than his sister Kennedy. The sum of their ages is 38. Write an equation to find Chris and Kennedy's age

s. Make certain that you indicate what the variable represents.
Mathematics
1 answer:
OleMash [197]2 years ago
5 0

Answer:16 , 22

Step-by-step explanation:

Given

Chris is six-year older than his sister

The sum of their ages is 38

Suppose the age of Chris sister is x

So Chris age is x+6

the sum is

\Rightarrow x+x+6=38\\\Rightarrow 2x+6=38\\\Rightarrow 2x=32\\\Rightarrow x=16

Chris age 16+6=22\ \text{years}

Chris sister  Kennedy's age 16\ \text{years}

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Answer:

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and the critical value would be t_{\alpha/2}=1.669

And replacing we got

17.5-1.669\frac{4.2}{\sqrt{65}}=16.63    

17.5+1.669\frac{4.2}{\sqrt{65}}=18.37    

For the 95% confidence the critical value is t_{\alpha/2}=1.998

17.5-1.998\frac{4.2}{\sqrt{65}}=16.46    

17.5+1.998\frac{4.2}{\sqrt{65}}=18.54    

Step-by-step explanation:

Information given

\bar X¿ 17.5 represent the sample mean

\mu population mean (variable of interest)

s¿4.2 represent the sample standard deviation

n¿65 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom are given by:

df=n-1=65-1=64

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and the critical value would be t_{\alpha/2}=1.669

And replacing we got

17.5-1.669\frac{4.2}{\sqrt{65}}=16.63    

17.5+1.669\frac{4.2}{\sqrt{65}}=18.37    

For the 95% confidence the critical value is t_{\alpha/2}=1.998

17.5-1.998\frac{4.2}{\sqrt{65}}=16.46    

17.5+1.998\frac{4.2}{\sqrt{65}}=18.54    

8 0
3 years ago
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