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wlad13 [49]
3 years ago
15

Your rectangular garden is 15 1/2 feet long and 26.5 feet wide. You plan to build a border. The border material costs $2.88 for

1.5 feet in length. The border will be three bricks high. You contractor will charge you $420 for labor. What will be the total bill for the project? (show work thank you)
Mathematics
1 answer:
Elanso [62]3 years ago
3 0

Answer:

$ 903.84

Step-by-step explanation: First find the perimeter, width + length + width + length. Then multiply it by 3 as the border is 3 bricks tall, divide it by 1.5 then multiply by 2.88 to get the price of the border. Add $420 to get the final price.

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The commute time for people in a city has an exponential distribution with an average of 0.5 hours. What is the probability that
mamaluj [8]

Answer:

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

In this question:

m = 0.5, \mu = \frac{1}{0.5} = 2

What is the probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours?

P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4)

In which

P(X \leq 1) = 1 - e^{-2} = 0.8647

P(X \leq 0.4) = 1 - e^{-2*0.4} = 0.5507

So

P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4) = 0.8647 - 0.5507 = 0.314

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

4 0
3 years ago
Which one correct pls help and thanks
erastova [34]
I think it’s b because x when it’s alone is one i think
6 0
4 years ago
11.) Write the equation of the line that
Anna35 [415]

Answer:

y-2=2/3(x+1) OR y=2/3x+8/3

Step-by-step explanation:

y=2/3x-2 (2/3 represents your slope)

plug into this equation y-y1=m(x-x1) (m represents your slope, y1 and x1 are you points)

so y-2=2/3(x+1) OR y=2/3x+8/3 (move the -2 over, distribute the 2/3 to (x+1) and then add 2/3 to the 2 you moved over)

4 0
3 years ago
Determine if x-5 is a factor of 2x^3-4x^2-7x-10
Rudiy27
It is not a factor of x-5.Substitute 5 in the palce of x.Since the value is not equal to x,it is not a factor of x-5.
8 0
3 years ago
A girl made a ladybug cage. Her cage has five sides. Each side has a length of 28 centimeters (cm). The cage is 20 cm high. What
Aleksandr [31]

The shape of her Cage's base is Pentagon

The perimeter of the base of the cage is 140 cm

Step-by-step explanation:

Side length of the base of the cage = 28cm

No. of sides the base has = 5

The shape of the cages base is Pentagon as it has 5 sides.

Perimeter= 5(28)

= 140cm

The perimeter of the base of the cage is 140 cm

5 0
3 years ago
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