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3 years ago

Find the approximate height of the cylinder. Use 3.14 for π.

Mathematics

1 answer:

babymother [125]3 years ago

6 0

Answer: The height is 5.2 cm.

Step-by-step explanation:

146.952 = n r^2 h

146.952= 3.14 * 9 *h

146.952= 28.26 h divide both sides by 28.26

h = 5.2

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On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre

Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

$P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}$

$P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514$

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

$P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}$

$P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231$

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

3 0

3 years ago

Please help <br><br> (only #15 to do)

mote1985 [20]

Whats the question?

Sorry but can't answer if theres no question

3 0

3 years ago

Which quadrilateral will always have 4- fold reflectional symmetry

Talja [164]

I'm pretty sure it's the square. The square can be divided into 4 equal parts, each part able to reflect each other.

5 0

3 years ago

Read 2 more answers

Find the measure of AB if B is the midpoint of AC and AB = 2x - 4 and AC = 28

yarga [219]

Answer:

AB=14

Step-by-step explanation:

First you write the equation 2(2x-4)=28 because if b is the midpoint then AB is half of the line so you multiply that half by two the make it equal to the whole line.

Then you distribute the two and get 4x-8=28.

Then you add 8 to 28 and get 36.

Then you divide 36 by 4 because the 4 and x are being multiplied together so you have to divide to get them apart.

So then you get x=9 and you aren't done yet because you have to plug x into 2x-4.

So it is 2(9)-4 which is 18-4 which equals 14.

4 0

2 years ago

Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC . What is the leng

Thepotemich [5.8K]

Answer:

Length of side of rhombus is $x=\frac{ab}{a+b}$

Step-by-step explanation:

Given Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC. We have to find the length of side of rhombus.

It is also given that AB=a and AC=b

Let side of rhombus is x.

In ΔCEF and ΔCBA

∠CEF=∠CBA (∵Corresponding angles)

∠CFE=∠CAB (∵Corresponding angles)

By AA similarity rule, ΔCEF~ΔCBA

∴ their sides are in proportion

$\frac{EF}{AB}=\frac{CF}{AC}$