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2 years ago

Find the product. (3x^2+7)(6x^2−4x+5)

Mathematics

2 answers:

Lapatulllka [165]2 years ago

7 0

Answer:

18x^4 − 12x^3 + 57x^2 − 28x + 35

Gelneren [198K]2 years ago

4 0

Answer:1

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Step-by-

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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

2 years ago

Which equation is represented by the graph below?

kirill115 [55]

Answer:

y = $\frac{2}{3}x$ + 6

Step-by-step explanation:

8 0

2 years ago

Half of Hillary’s friend, Jamiz’s fourth grade class is female. Including Jamiz, there are 14 girls in the class. How many stude

Yuri [45]

Including Jamiz, there are 14 girls in the class. If this if half of the total number of pupils (as half are girls, the other half being boys) the total number of students is 14 × 2 = 28 students

3 0

3 years ago

Which one is it , I’m having a hard time I’m a freshman.

IgorC [24]

I believe it should be C

5 0

3 years ago

Read 2 more answers

Please check my answer!

umka21 [38]

A ) P=6n+18 where N is the number of triangles. There's always two '9's and the 6 is based on how many triangles there are.

3 0

2 years ago