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2 years ago

PLEASE HELP MEE!!!!! 7 4/6 + 3 1/6

Mathematics

2 answers:

Molodets [167]2 years ago

4 0

Answer:

10 5/6

Step-by-step explanation

leave out whole numbers, just do fractions;

4/6+1/6=5/6

do the whole numbers

7+3=10

whole number + fraction

10 5/6

Romashka-Z-Leto [24]2 years ago

3 0

Answer:

10 5/6.

Step-by-step explanation:

Given equation:

7 4/6 + 3 1/6

Solve:

7 4/6 + 3 1/6
= 7 + 3
= 10
= 4/6 + 1/6
= 5/6
= 10 + 5/6
= 10 5/6.

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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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