3 years ago

There are 4 stars 4 green circles and 7 red circles what's the ratio of blue stars to red circles

Mathematics

1 answer:

Sladkaya [172]3 years ago

8 0

Answer:

4 to 7 *maybe

Step-by-step explanation:

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In a population distribution, a score of x=57 corresponds to z=-0.25 and a score of x=87 corresponds to z=1.25. Find the mean an

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Here is dependence between scores and x-values:

$Z_i=\dfrac{X_i-\mu}{\sigma},$

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1. When i=1, $Z_1=-0.25,\ X_1=57,$ then

$-0.25=\dfrac{57-\mu}{\sigma}.$

2. When i=2, $Z_2=1.25,\ X_2=87,$ then

$1.25=\dfrac{87-\mu}{\sigma}.$

Now solve the system of equations:

$\left\{\begin{array}{l}-0.25=\dfrac{57-\mu}{\sigma}\\ \\1.25=\dfrac{87-\mu}{\sigma}.\end{array}\right.$

$\left\{\begin{array}{l}-0.25\sigma=57-\mu\\ \\1.25\sigma=87-\mu.\end{array}\right.$

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$1.25\sigma-(-0.25\sigma)=87-57,\\ \\1.5\sigma=30,\\ \\\sigma=20.$

Then

$1.25=\dfrac{87-\mu}{20},\\ \\87-\mu=25,\\ \\\mu=87-25=62.$

Answer: the mean is 62, the standard deviation is 20.

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3 years ago

There are 4 stars 4 green circles and 7 red circles what's the ratio of blue stars to red circles￼

There are 4 stars 4 green circles and 7 red circles what's the ratio of blue stars to red circles