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iris [78.8K]
3 years ago
7

3 to the 10th power = 3 to the 7th power times x to the 3rd power (solve for x)

Mathematics
1 answer:
bixtya [17]3 years ago
3 0

Answer:

3

Step-by-step explanation:

Rewriting this sentence as an algebraic equation, we get:

3^10 = 3^7 * x^3.

Dividing both sides by 3^7 simplifies the problem:

3^3 = x^3

Here this x corresponds to the 3 in 3^3.  Thus, the solution is x = 3.

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(2.5 points) The probability that an airplane accident which is due to structural failure is diagnosed correctly is 0.85 and the
Nikitich [7]

Answer: 0.51

Step-by-step explanation:

This is a conditional probability. The first event is the airplane accident being caused by structural failure. The probability of it being due to structural failure is 0.3 and the probability of it not being due to structural failure is 0.7. The second event involves the diagnosis of the event. If a plane fails due to structural failure, the probability that it will be diagnosed and the results will say it was due to structural failure is 0.85, and the probability that the diagnosis is unable to identify that it was because of a structural failure is 0.15. If the plane were to fail as a result of some other reason aside structural failure, the probability that the diagnosis will show that it was as a result of structural failure is 0.35 and the probability of the diagnosis showing that is is not as a result of structural failure is 0.65. To find the probability that an airplane failed due to structural failure given that it was diagnosed that it failed due to some malfunction, this is the equation;

p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)

p = (0.3*0.85)/((0.3*0.85) + (0.7*0.35))

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4 0
2 years ago
Which of the following characteristics describe the graph of an exponential function?
Aleonysh [2.5K]

Answer:

A GENERAL NOTE: CHARACTERISTICS OF THE GRAPH OF THE PARENT FUNCTION

f

(

x

)

=

b

x

An exponential function with the form

f

(

x

)

=

b

x

,

b

>

0

,

b

≠

1

, has these characteristics:

one-to-one function

horizontal asymptote:

y

=

0

domain:

(

−

∞

,

∞

)

range:

(

0

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∞

)

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(

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Step-by-step explanation:

hope it helps you

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