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3 years ago

The three numbers are in the ratio 2 : 3 : 4 and the sum of their cubes 12375

1 answer:

7 0

Let us take each number as x = 2x , 3x, 4x
(2x)³+(3x)³+(4x)³=12375
8x³+27x³+64x³=12375
99x³=12375
x³=12375/99
=125
x =∛125
x=5
2x=2×5=10
3x=3×5=15
4x=4×5=20

therefore, the three numbers are 10,15 and 20 .....

Hope it helps !!

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Normal Distribution. Cherry trees in a certain orchard have heights that are normally distributed with mu = 112 inches and sigma

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Answer:

The probability that a randomly chosen tree is greater than 140 inches is 0.0228.

Step-by-step explanation:

Given : Cherry trees in a certain orchard have heights that are normally distributed with $\mu = 112$ inches and $\sigma = 14$ inches.

To find : What is the probability that a randomly chosen tree is greater than 140 inches?

Solution :

Mean - $\mu = 112$ inches

Standard deviation - $\sigma = 14$ inches

The z-score formula is given by, $Z=\frac{x-\mu}{\sigma}$

Now,

$P(X>140)=P(\frac{x-\mu}{\sigma}>\frac{140-\mu}{\sigma})$

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The Z-score value we get is from the Z-table,

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3 years ago

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Quadrant II.
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add like terms together

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