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zalisa [80]
3 years ago
7

6x + 7y = 1 8x – 3y = 25 Solve me fast explainly

Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

{x,y} = {89/37,-71/37}

Step-by-step explanation:

 8x = 3y + 25

 [2]    x = 3y/8 + 25/8

Plug this in for variable  x  in equation [1]

  [1]    6•(3y/8+25/8) + 7y = 1

  [1]    37y/4 = -71/4

  [1]    37y = -71

Solve equation [1] for the variable  y  

  [1]    37y = - 71

  [1]    y = - 71/37

By now we know this much :

   x = 3y/8+25/8

   y = -71/37

Use the  y  value to solve for  x  

   x = (3/8)(-71/37)+25/8 = 89/37

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How to solve question 19<br> thanks
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Let X be the random variable for the weight of any given can, and let \mu and \sigma be the mean and standard deviation, respectively, for the distribution of X.

You have

\begin{cases}\mathbb P(X377)=0.025\end{cases}

Recall that for any normal distribution, approximately 99.7% of it lies within three standard deviations of the mean, i.e. \mathbb P(\mu-3\sigma. This means 0.3% must lie outside this range, \mathbb P(X\mu+3\sigma)=0.003. Because the distribution is symmetric, it follows that \mathbb P(X.

Also recall that for any normal distribution, about 95% of it falls within two standard deviations of the mean, so \mathbb P(\mu-2\sigma, which means 5% falls outside, and by symmetry, \mathbb P(X>\mu+2\sigma)=0.025.

Together this means

\begin{cases}\mu-3\sigma=347\\\mu+2\sigma=377\end{cases}

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4 years ago
"Which of the following sampling techniques involves choosing individuals from the population at random where the proportions of
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Answer:

Option a

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(b) Simple random Sample:

This sample is formed by the random and unbiased selection of individual that represents the population.

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The entire set of individuals with certain specific characteristics represents a population whereas a sample is drawn out of the population and can be referred to as the subset of the population.

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In this, separate sample groups are formed known as clusters, here sampling of random clusters take place.

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