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baherus [9]
4 years ago
12

Someone help me please

Mathematics
2 answers:
Jet001 [13]4 years ago
5 0
The area of a square is the square of the sides, and in this case, equals 14*16=224 mm^2
So length of each side
= sqrt(224) =  14. 97 or 15 mm to the nearest integer.
Airida [17]4 years ago
4 0
Area of rectangle=area of square:
14×16=224

length of one side of square:
√224
=14.9666
=15mm

The ans is D
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Answer:

a) Sample Mean = 79.4

Sample standard deviation = 30.62

b) 90% Confidence interval:  (67.56 ,91.24)

Step-by-step explanation:

We are given the following in the question:

Prices for sleeping bags has an approximately normal distribution.

We are given the following sample:

35, 85, 105, 40, 100, 50, 30, 23, 100, 110, 105, 95, 105, 60, 110, 120, 95, 90, 60, 70

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\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

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Mean =\displaystyle\frac{1588}{20} = 79.4

Sum of squares of differences = 1971.36 + 31.36 + 655.36 + 1552.36 + 424.36 + 864.36 + 2440.36 + 3180.96 + 424.36 + 936.36 + 655.36 + 243.36 + 655.36 + 376.36 + 936.36 + 1648.36 + 243.36 + 112.36 + 376.36 + 88.36 = 17816.8

S.D = \sqrt{\displaystyle\frac{17816.8}{19}} = 30.62

b) 90% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.10} = \pm 1.7291  

79.4 \pm 1.73(\displaystyle\frac{ 30.62}{\sqrt{20}} ) = 79.4 \pm 11.84 = (67.56 ,91.24)

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