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3 years ago

9

A cylinder has a radius of 3 cm and a height of 24 cm. What is the total surface area for both circles of the cylinder? Use 3.14

for π.

1 answer:

Elan Coil [88]3 years ago

8 0

See the photo attached above

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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

Write 16 + 32 = as a product of two factors using GCF and the distributive property

N76 [4]

Answer:

16 (1+2)

Step-by-step explanation:

factors of 16: 1,2,4,8,16

factors of 32: 1,2,4,8,16,32

16 x 1 = 16

16 x 2 = 32

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2 years ago

Suppose you visit a restaurant with a salad bar containing the following choices: 10

Vikentia [17]

Answer:

3600

Step-by-step explanation:

multiply all of the choices

10x15x6x4

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2 years ago

PLEASE HELP THIS IS MY LAST QUESTION FOR THE DAY!!

ololo11 [35]

This is the answer
Plz mark me brainlist

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2 years ago

A display that uses bars to show data is an

Vika [28.1K]

Histogram
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2 years ago