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3 years ago

How to solve this |9x-12|<-4

1 answer:

5 0

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Solve for x in the parallelogram

vladimir1956 [14]

Answer:

x = 25

Step-by-step explanation:

total interior angles in 360

4x - 20 + 100 = 180

4x = 100

x = 25

8 0

2 years ago

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:

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

5 0

3 years ago

The value of zlatans house has increased by 7% His house is now valued at ?749,000 Work out the value of the house before the in

wolverine [178]

Answer:

$440588.24

Step-by-step explanation:

Let x be the value of Zlatans house before the increase.

We are told that the value of Zlatans house has increased by 7%. His house is now valued at $749,000. This means that value of house(x) before increase plus 7% of x will be equal to $749000.

We can set this information in an equation as:

$x+\frac{70}{100}x=74900$