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3 years ago

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Verify the general statement: ×-b = 1 over ×b for × = 3 and b = -5

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1 answer:

Andreyy893 years ago

8 0

-1/3*5 =-1/15 the answer to the question

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Write an equation in slope-intercept form of the line that passes through the points (4,1) and (8,2)

Vitek1552 [10]

Answer:

y=1/4x

Step-by-step explanation: in image below

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3 years ago

Read 2 more answers

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

timothy bought 12 of his cars to the babysitters. these toy cars represent 30% of his toy car collection. what is the total numb

omeli [17]

If 30% of his collection is 12 cars, then we can use the fraction

30/12=100/x

x=40

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4 years ago

Solve 2(5x + 6) < x - 15 + 9x.

ipn [44]

Answer:

Hope that was helpful for you! Good luck.

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4 years ago

PLEASE HURRY!!! PLEASE

noname [10]

Answer:

going horizontally, 15, 3, 9, then 1, 3, 6, then 20, then, 40, 60

Step-by-step explanation:

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3 years ago