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2 years ago

If a rectangle measures 8 feet on the short side and 9.8 feet on the kind side what is the area of the rectangle in square feet

Mathematics

2 answers:

11111nata11111 [884]2 years ago

5 0

Area of any rectangle is given by the formula:

$Area=length \times width$

Now, it is given to us that the rectangle measures 8 feet on the short side and 9.8 feet on the long side. Therefore, the length of the rectangle is 9.8 feet and the width is 8 feet.

Substituting these values in the above equation for the area, we get:

$Area=9.8\times 8=78.4$ square feet

Colt1911 [192]2 years ago

4 0

78.4 sq. ft. 9.8*8=78.4

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$\displaystyle\int_{15}^{30}f_X(x)\,\mathrm dx\approx0.173$

c. The probability of arriving on any given day before 8:40 AM (the 40 minute mark) is

$\displaystyle\int_0^{40}f_X(x)\,\mathrm dx\approx0.982$

The probability of doing so for at least 2 of 5 days is

$\displaystyle\sum_{n=2}^5\binom5n(0.982)^n(1-0.982)^{5-n}\approx1$

i.e. you're virtually guaranteed to arrive within the first 40 minutes at least twice.

d. Integrate the PDF to obtain the CDF:

$F_X(x)=\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt=\begin{cases}0&\text{for }x$

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