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3 years ago

MULTIPLE CHOICE QUESTION

Mathematics

1 answer:

Lostsunrise [7]3 years ago

5 0

Answer: C. 4

Step-by-step explanation:

First, we can prime factorize 52.

52 = 2^2 * 13

13 is not a square number, but 4 is a square number because it equals 2 squared.

Therefore, the correct answer is C. 4

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The average lifetime of a certain new cell phone is 3.4 years. The manufacturer will replace any cell phone failing within three

melisa1 [442]

Answer:

68% of these phones last 3.87 years.

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:

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

The average lifetime of a certain new cell phone is 3.4 years.

This means that $m = 3.4, \mu = \frac{1}{3.4} = 0.2941$

$P(X \leq x) = 1 - e^{-0.2941x}$

68% of these phones last how long (in years)?

This is x for which:

$P(X \leq x) = 0.68$

$P(X \leq x) = 1 - e^{-0.2941x}$

Then

$0.68 = 1 - e^{-0.2941x}$

$e{-0.2941x} = 0.32$

$\ln{e{-0.2941x}} = \ln{0.32}$

$-0.2941x = \ln{0.32}$

$x = -\frac{\ln{0.32}}{0.2941}$

$x = 3.87$

68% of these phones last 3.87 years.

4 0

3 years ago

dora and her brother kyle spent 1 hour and 35 minute doing yard,work. then they stopped for lunch at 1:20 pm .at what time did t

NemiM [27]

They started doing yard work at 11:45 AM.

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4 years ago

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mina [271]

Answer:

18 and 10.

Step-by-step explanation:

yz - x

= 8*3 - 6

= 24 - 6

= 18

2(x + z) - y

= 2(6 + 3) - 8

= 2 * 9 - 8

= 18 - 8

= 10

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3 years ago

-3x - 6+ (-1) help!!!!

guapka [62]

Answer:

-3x = 7 .

Step-by-step explanation:

-3x - 6 - 1 =

-3x - 7

Hope that helps!

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3 years ago

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mash [69]

Answer:

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Step-by-step explanation:

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3 years ago