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3 years ago

5

A box is filled with 4 red cards, 4 green cards, and 6 brown cards. A card is chosen at random from the box. What is the probabi

lity that the card is not green?
Write your answer as a fraction in simplest form.

1 answer:

atroni [7]3 years ago

5 0

The probability that the card chosen will not be green is 5/7

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The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. (

Vinvika [58]

Answer:

a) $P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

b) $z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

$X \sim N(106,0.3)$

Where $\mu=106$ and $\sigma=0.3$

Part a

We are interested on this probability

$P(X>106.11)$

And we can use the z score formula given by:

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

And using this formula we got:

$P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

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

And if we find the z score we got:

$z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

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Suppose I invest $400 in an account that pays 3% interest annually. How much will I have in the account after 2 years, assuming

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I agree ☝ which the guy above me because I worked that out and was thinking about it and I got that answer

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Answer:

Step-by-step explanation:

The sale price is out of the original price so do 424.15 / 499.00 to find what it is out of in decimal form. Multiply your answer by 100 to find the percentage.

So:

424.15 / 499.00 =0.85

0.85 x 100 = 85

So the answer would 85%.

Hope this helps!

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Answer:

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Step-by-step explanation:

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