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Varvara68 [4.7K]
3 years ago
5

Your school is putting on a prom fashion show, and you are in charge of building a platform to serve as a stage. Main stage is a

rectangle and the runways is a square. the length of the main stage is three times the length of the runway and the width of the main stage is two times the length og the runway.
write a function A(x) for the area of the entire stage and draw the stage.
Mathematics
1 answer:
rodikova [14]3 years ago
7 0
The answer would be tewlce
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The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that
wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

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

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

In which \lambda 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^{-\lambda x}

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

P(X \leq 5) + P(X > 5) = 1

In all 3 cases, we want P(X > 5). So

P(X > 5) = 1 - P(X \leq 5)

In which

P(X \leq 5) = 1 - e^{-5\lambda}

(a) lambda=.5

P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821

(b) lambda=0.9

P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111

(c) lambda=1.1

P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041

7 0
3 years ago
Help please idk how to do this
OverLord2011 [107]

I hope this helped and have a great day.

You need to times 2/3 twice

-2/-3 * -2/3

3 0
3 years ago
Name the plane represented by the top of the box.
Licemer1 [7]

Answer:

BCD

Step-by-step explanation:

The top rectangle is ABCD because of its vertices.  BCD is included in it.

6 0
3 years ago
Traveling with the current, a boat covers a distance 1.5 times greater than traveling against the current in the same amount of
jeka94
Let the speed of the current equal c
and the speed of the boat in still water equal b.

b + c = 1.5 (b - c)
b + c = 1.5b - 1.5c
0.5b = 2.5c
b = 5c

The speed of the current is 1.5 mph so
b = 5 * 1.5 = 7.5 mph
4 0
3 years ago
Simplify this expression: -5(c-3d + 1)
Amanda [17]

Answer:

-5c + 15d - 5

Step-by-step explanation:

1. Distribute the -5 from outside the paranthesis to the inside.

2. Keep in mind the negative signs when you're distributing.

3 0
3 years ago
Read 2 more answers
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