All categories

2 years ago

What is the volume of a cylinder that has the height of 4 inches and radius of 7 inches?

Mathematics

1 answer:

nordsb [41]2 years ago

7 0

Answer:615.44

Step-by-step explanation:

You might be interested in

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

1. Use the inequality 12≥6(12x+2).

IgorLugansk [536]

Answer: x≤0 is the answer or (−∞,0

]

Step-by-step explanation:

6 0

3 years ago

a triangle has side lengths of 13, 15, and 17. determine whether the triangle is right, acute, or obtuse.

Len [333]

Square of longest side = 17^2 = 289

15^2 = 225
13^2 = 169

total 394 289 is less than this so its acute

3 0

2 years ago

Use the quadratic formula to find the solutions to the quadratic equation

wlad13 [49]

3*2=6
6-x-2=0
4=x
The answer is 4

7 0

2 years ago

Read 2 more answers

In 8 minutes,josh was able to type 496 words.What's his typing speed in words per minute

leva [86]

62 words per minute. You would divide 8 from 496 since you need to find out how many words he can type in a minute. Your answer is 62 words per minute.

Hope this helped! :)

3 0

3 years ago