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3 years ago

(4x + 18) value of X

Mathematics

1 answer:

liubo4ka [24]3 years ago

3 0

Answer:

x = (-9)/2 or decimal x = -4.5

Step-by-step explanation:

Solve for x:

4 x + 18 = 0

Subtract 18 from both sides:

4 x + (18 - 18) = -18

18 - 18 = 0:

4 x = -18

Divide both sides of 4 x = -18 by 4:

(4 x)/4 = (-18)/4

4/4 = 1:

x = (-18)/4

The gcd of 18 and 4 is 2, so (-18)/4 = (-(2×9))/(2×2) = 2/2×(-9)/2 = (-9)/2:

Answer: x = (-9)/2

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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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Step-by-step explanation:

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ella [17]

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1.C

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6.A

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