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3 years ago

Let a and b be rationl numbers?

Mathematics

2 answers:

Grace [21]3 years ago

6 0

Answer:

poop

Step-by-step explanation:

TEA [102]3 years ago

5 0

Sometimes

Always

Sometimes

hope this helps

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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:

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

6 0

3 years ago

Suppose y varies inversely with x, and y = 25 when x = 1/5. What is the value of y when x = 5 ?

34kurt

Answer:

y = 1

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = 25 when x = $\frac{1}{5}$ , then

25 = $\frac{k}{\frac{1}{5} }$ = 5k ( divide both sides by 5 )

5 = k

y = $\frac{5}{x}$ ← equation of variation

When x = 5, then

y = $\frac{5}{5}$ = 1

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3 years ago

The distance between two cities on a map is 4 Inches. The actual distance between the two citles is 24 miles.

nikitadnepr [17]

A)6 inches=1 mile
B)4miles

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irinina [24]

Answer:

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IRISSAK [1]

Answer:

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