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3 years ago

11

What is the value of x

2 answers:

Sedbober [7]3 years ago

4 0

Answer:

X = 56

Step-by-step explanation:

Subtracting 169 degrees from a straight line (180 degrees) gives you 11 degrees. with this information you can add 11 and 114 to get 124. Then you can subtract that amount from 180 (the measure of any triangle) and get your answer which is 56. I hope this helped!

svet-max [94.6K]3 years ago

4 0

Answer : X = 56
That’s what I got but hopefully u got it right

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Answer:

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$42+1.833\frac{6.325}{\sqrt{10}}=45.666$

The 90% confidence interval is given by $38.334 \leq \mu \leq 45.666$

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n 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)

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$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=42$

The sample deviation calculated $s=6.325$

The degrees of freedom are given by:

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Replacing we got:

$42-1.833\frac{6.325}{\sqrt{10}}=38.334$

$42+1.833\frac{6.325}{\sqrt{10}}=45.666$

The 90% confidence interval is given by $38.334 \leq \mu \leq 45.666$

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