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3 years ago

The length of a rectangle is twice the width. If the perimeter of the rectangle is 69 units, find the area of the garden.

Mathematics

1 answer:

8_murik_8 [283]3 years ago

6 0

Answer:

area= 264.5 unit square

Step-by-step explanation:

let the width of the rectangle be x units then the length would be 2x units

perimeter = 2(l+b)= 2(2x+x)=2(3x)=6x

69=6x

x=69/6=11.5units

width is 11.5 units and length is 23 units

area= lxb= 11.5* 23= 264.5 units square

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4 years ago

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Step-by-step explanation:

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3 years ago

N = 9

g100num [7]

Answer:

The p-value is 0.809.

Step-by-step explanation:

In this case we need to perform a significance test for the standard deviation.

The hypothesis is defined as follows:

H₀: σ₀ = 4 vs. Hₐ: σ₀ ≤ 4

The information provided is:

n = 9

s = 3

Compute the Chi-square test statistic as follows:

$\chi^{2}=\frac{(n-1)s^{2}}{\sigma_{0}^{2}}$

$=\frac{(9-1)\cdot (3)^{2}}{(4)^{2}}\\\\=\frac{8\times 9}{16}\\\\=4.5$

The test statistic value is 4.5.

The degrees of freedom is:

df = n - 1

= 9 - 1

= 8

Compute the p-value as follows:

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*Use a Chi-square table.

Thus, the p-value is 0.809.

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3 years ago