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KengaRu [80]
3 years ago
8

Given a mean of 43.8 and a standard deviation of 8.7 what is the z score of the value 40

Mathematics
2 answers:
DanielleElmas [232]3 years ago
8 0
z=\dfrac{40-43.8}{8.7}\approx-0.4368
lana [24]3 years ago
4 0

Answer:

-0.44

Step-by-step explanation:

Given a mean of 43.8 and a standard deviation of 8.7

z-score =\frac{x-mean}{standard deviation}

mean = 43.8

standard deviation = 8.7

now plug in the values of mean and standard deviation

x= 40

z-score =\frac{40-43.8}{8.7}

z-score =\frac{-3.8}{8.7}

z-score = -0.44

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xz_007 [3.2K]

The tree died about 3357 years ago.

Explanation:

The half life of carbon - 14 is given by

A(t)=A(0)e^{-kt}

where A(t)=0.5

A(0)=1

t=5600

Substituting these values in the above equation, we get,

0.5=1e^{-5600k}

Taking In on both sides of the equation, we get,

   In(0.5)=-5600k

      \frac{In(0.5)}{-5600} =k

0.00012377=k

Since, only 66% of Carbon - 14 remains after the time T.

Thus, we have,

0.66=1e^{-kT}

Taking In on both sides of the equation, we get,

  In(0.66)=-0.00012377 \ T

\frac{In(0.66)}{-0.00012377} =  T

        3357=T

Thus, the tree died about 3357 years ago.

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3 years ago
What is V36x4 in simplest form?
DochEvi [55]
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2 years ago
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I’m confused on this one
Mandarinka [93]

Remark

If the lines are parallel then triangle RQS will be similar to triangle RTP


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3 0
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