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3 years ago

Please help me

Mathematics

1 answer:

Nata [24]3 years ago

5 0

Answer:

1 1/2

Step-by-step explanation:

2 2/3 - 1 1/6 = ?

The LCD here is 6. Convert 2 2/3 so that the denominator is 6:

2 2/3 = 2 4/6

Then subtract 1 1/6 from 2 4/6: We get 1 3/6, or 1 1/2

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Read 2 more answers

What is the probability that a randomly selected member of a normally distributed population will lie more than 1.8 standard dev

Helen [10]

Answer:

$P(X> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)$

And we can find this probability using the complement rule:

$P(z>1.8)=1-P(z$

And using the normal standard distirbution table or excel we got:

$P(z>1.8)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable if interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

We are interested on this probability

$P(X>\mu +1.8 \sigma)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)$

And we can find this probability using the complement rule:

$P(z>1.8)=1-P(z$

And using the normal standard distirbution table or excel we got:

$P(z>1.8)=1-P(z$

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4 years ago

What expression are equivalent to -56z + 28

sveta [45]

Answer:

-28(2z - 1)

Step-by-step explanation:

Looking at the coefficients -56 and 28 in -56z + 28, we see that -28 is common to both and can be factored out:

-56z + 28 = -28(2z - 1).

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3 years ago