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3 years ago

Evaluate for the given value of the variable 7/8 x c for c = 8

1 answer:

6 0

Substitute 8 for c.
7/8 times 8 equals 7.
To multiply a fraction by a full number, multiply the numerator to get 56/8 and then preform the division to get 7.
In this case, the decimal and the multiplication cancel each other out since they're both 8.

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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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2 years ago

Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?

Radda [10]

C
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3 years ago

Read 2 more answers

Use trigonometry to solve for x. Round to the nearest tenth.

mel-nik [20]

Answer

Step-by-step explanation:

You need to use cosine because the side length needed is adjacent and you have the hypotenuse.Set up a proportion of "cos23 = x/13" and solve by cross multiplying. Then just round.

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3 years ago

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8090 [49]

The answer to this question is not rational

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3 years ago

If an item is $6.49 for 36 ounces, then it is $

blagie [28]

Answer:

0.18

Step-by-step explanation: