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KatRina [158]
3 years ago
12

Please help me thank you

Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0

Answer:

x = 6

Step-by-step explanation:

First, separate the problem into -\frac{2x}{3} +9=\frac{4x}{3} - 3

Then, Subtract 9 from both sides of the equation. -\frac{2x}{3} +9-9=\frac{4}{3} * x - 3-9

Simplify. -\frac{2x}{3}=\frac{4x}{3}-12

Multiply 3 to each side, which will give you -2x = 4x - 36

Subtract 4x from each side  -2x - 4x = 4x - 36x - 4x

Combine like terms: -6x = -36

Divide both sides by -6

Your answer should be 6

<em>(sorry for the late answer)</em>

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Step-by-step explanation:

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The most accurate is the day closest the temperature forecast is closest to observed temperature, which is

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And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

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 retirement savings of a population, and for this case we know the distribution for X is given by:

X \sim N(100000,20000)  

Where \mu=100000 and \sigma=20000

We are interested on this probability

P(X>117000)

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>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

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The firgure attached illustrate the problem

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