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3 years ago

What is the equation of the line that passes through (4, -1) and (-2, 3)?

Mathematics

1 answer:

Alecsey [184]3 years ago

5 0

Slope is 3-(-1)/-2 -4= 4/-6 =-2/3
so in the point slope the equation is
y-4 = -2/3(x-(-1))
y-4 =-2/3 (x +1)

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For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 50

Volgvan

Answer:

$P(\bar X>530)=1-0.808=0.192$

Step-by-step explanation:

1) 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".

Let X the random variable that represent the scores, and for this case we know the distribution for X is given by:

$X \sim N(\mu=505,\sigma=170)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

On this case $\bar X \sim N(505,\frac{170}{\sqrt{35}})$

2) Calculate the probability

We want this probability:

$P(\bar X>530)=1-P(\bar X$

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

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

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

$P(\bar X >530)=1-P(Z$

$P(\bar X>530)=1-0.808=0.192$

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3 years ago

2. A breeding program to ensure the survival of pygmy possumns is established art initial population of 50 (25 pairs). From a pr

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Answer:

Step-by-step explanation:

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2 years ago

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UkoKoshka [18]

Answer: 34 months.

Step-by-step explanation:

10,500 - 2,500 = 8,000.

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Answer:

Step-by-step explanation:

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Answer:

Sorry the picture is blocked on my chromebook but i hope this helps

Step-by-step explanation:

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