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3 years ago

a rectangle plot measure 20ft. by 30ft. A 3-ft.-wide sidewalk surrounds it.Find the area of the sidewalk.

1 answer:

3 0

Area of a rectangle = length (l) * width (w)
A = 30ft * 20ft
A = 600 sq ft

Now the width of a sidewalk that surroundeds it = 3 ft
so now the area of the rectangle with sidewalk= 30+3ft * 20+3ft
A = (33*23) ft
A = 759 sg ft

Area of the sidewalk = 759 - 600
A = 159 sq ft

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miskamm [114]

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3 years ago

Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone

Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of each system working:

4 components, which means that $n = 4$

Each has a 30% probability of failing, so $p = 1 - 0.3 = 0.7$

For the system to work, all 4 components have to work. This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401$

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so $n = 7$

0.2401 probability of a system working.

We have to find P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615$

16.15% probability that exactly 3 of them would function

5 0

3 years ago

If i walk 4 miles per hour how long will it take to walk a mile

fiasKO [112]

Hi there! The answer is 15 minutes.

Walking 4 miles per hour means that it takes you 60 minutes to walk 4 miles. To find the time it takes you to walk 1 mile, we must divide both sides by 4.

4 miles equals 60 minutes.
1 mile equals 60 / 4 = 15 minutes.

The answer is 15 minutes.

4 0

3 years ago

Find the area of the polygon. A = __ft squared

Nataliya [291]

Answer:

28.5^2

Step-by-step explanation:

The formula is, b(base)+c(height)= b+c over 2. b+c/2.

B=19ft in this problem.

C=38ft

Knowing this, we can further simplify.

19+38/2

Now, we add 19 and 38.

(57)

57/2= 28.5

So, the anwser is 28.5^2

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2 years ago

Determine the range for the table.

Sladkaya [172]

Answer:

And the range is all real numbers except 0. The definition of range is the set of all possible values that the function will give when we give in the domain as input.

Step-by-step explanation :D give brainly

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3 years ago