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2 years ago

13

×/2=y/3; y/4=z/4 và x+2y-z=10

1 answer:

FinnZ [79.3K]2 years ago

6 0

Can you make it clear?

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If I walk 500m every day in November, how far do I walk in total?

Brrunno [24]

Answer:

15500 is the answer

Step-by-step explanation:

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3 years ago

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It doesn't matter which of the two points on a line you choose to call (x1, y1) and which you choose to call (x2, y2) to calcula

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3 years ago

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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:

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

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

3 0

3 years ago

The amazon river is about 6,516 kilometers long the mississipi river is about 3,775 kilometers long what is the difference in ki

MrMuchimi

6,516 - 3,775 = 2,741 kilometers

4 0

3 years ago

Is (6, –2) a solution to this system of equations? y = –1/6 x − 1 y = 1/6 x − 3

Liula [17]

Answer:

Yes, (6, -2) is a solution to the given system of equations.

Step-by-step explanation:

Please write y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:

y = (–1/6)x − 1

y = (1/6)x − 3

Let's actually solve this system:

y = (–1/6)x − 1

y = (1/6)x − 3

-----------------------

2y = -4, or y = -2

Now find x. Arbitrarily we choose to use the first equation for this purpose:

y = (-1/6)x - 1. We set y = -2 and find x: -2 = (-1/6)x - 1

Combining the constants, we get -1 = (-1/6)x, or 6 = x

Yes, (6, -2) is a solution to the given system of equations.

5 0

3 years ago