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Ilya [14]
3 years ago
5

Help with math please? Thx

Mathematics
1 answer:
sammy [17]3 years ago
7 0
Looks like the area of each face is already given, so just add up all of the numbers to get 65 cm2
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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
How do you solve 8x-7= 3x 9?
gtnhenbr [62]
8x - 7 = 3x + 9
8x - 3x = 9 + 7
5x = 16
x = 16/5 = 3 1/5
3 0
2 years ago
Suppose I flip two identical coins. What is the probability that I get one head and one tail?
Alexeev081 [22]
50/50 chance to be wrong or right
7 0
3 years ago
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Explain how an estimate helps you place the decimal point when multiplying 3.7 times 5.1
Yuki888 [10]
An estimate helps you place the decimal point because when you place 3.7 and 5.1 to multiply you have to count how many spaces of numbers there are. So the answer is 18.87.
5 0
2 years ago
Read 2 more answers
Which the most accurate statement about progress monitoring?
swat32

The most accurate statement about progress monitoring is progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in. Option A

<h3>What is progress monitoring?</h3>

Progress monitoring can be defined as a standard process of evaluating or checking progress toward a performance target on the basis of level of improvement from frequent assessment of a skill.

Thus, the most accurate statement about progress monitoring is progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in. Option A

Learn more about progress monitoring here:

brainly.com/question/2763918

#SPJ1

7 0
2 years ago
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