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3 years ago

Translate the following words into an expression: “The quotient of a number and three is five.”

Mathematics

1 answer:

laila [671]3 years ago

5 0

Hello from MrBillDoesMath!

Answer:

n/3 = 5

where "n" is the number referred to in the Question

Discussion:

Let the number be "n". The Question translation is

n/3 = 5

( so n = 3 * 5 = 15)

Thank you,

MrB

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3 years ago

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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3 years ago

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2/3 of the list = 12

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x = 12 / (2/3)
x = 12 * 3/2
x = 36/2
x = 18 <=== there are 18 words on the list

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3 years ago

You have $10.50 to spend at the bowling alley. It costs $3 to rent shoes

Oksana_A [137]

Answer: 3 games

Step-by-step explanation:

10.5

First subtract 3 because you will need shoes.

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