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Andrew [12]
3 years ago
9

The temperature on Monday was - 23 F . The temperature on Tuesday was 18 degrees higher. What was the temperature on Tuesday?

Mathematics
1 answer:
mart [117]3 years ago
4 0

Answer: the Temperature on Tuesday is 13 degrees Celsius

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How much would $200 invested at 7% compounded continuously be worth after 5 years
Norma-Jean [14]

Answer:

$280.51

Step-by-step explanation:

F= 200(1 + 07)^5

The future worth (F) of the investment at present (P) with a compound interest i after n years is calculated through the equation, F=P x (1 + i)^n

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3 years ago
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The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that
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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
The High School Drama Club held its annual play on Thursday, Friday, and Saturday evenings this past week. The
vlabodo [156]

Answer:

u didnt give us the information in the right order

Step-by-step explanation:

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3 years ago
What is the common ratio of the geometric sequence below? -5, -10, -20, -40....
const2013 [10]

Answer:

2

Step-by-step explanation:

Between each term you are multiplying the previous term by 2, making 2 the common ration of the sequence.

8 0
3 years ago
What is the difference between a constant and a variable
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A constant is a number that stays the same. A variable is number that doesn't remain the same.

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