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natta225 [31]
3 years ago
13

Please help me with this ASAP ASAP please please help

Mathematics
2 answers:
Tanzania [10]3 years ago
8 0

Step-by-step explanation:

The lateral area is formula for a cylinder is

2\pi \times r \times h

where r is radius and h is height.

2\pi \times 8 \times 3 = 48\pi

The surface area of cylinder is

2\pi \times  {r}^{2}  + 2\pi \times r \times h

2\pi(64) + 2\pi(24)

128\pi + 48\pi

176\pi

Volume of cylinder is

\pi \times  {r}^{2}  \times h

\pi \times 64 \times 3

192\pi

elena55 [62]3 years ago
5 0

Answer:

Step-by-step explanation:

Lateral area is the sides so for this it's  distance around x 3 . b/c the cylinder is 3 units tall... sooo

r= radius  ,  d= diameter

circumference = distance around = 2\pir  or d\pi = 16\pi  

Lateral area is 16\pi*3 = 48\pi

Surface area is the lateral area + the top and bottom

the area of a circle is \pir^{2}

the area of this circle for the top is \pi8^{2}

64\pi

times 2 b/c there is also a top and a bottom

128\pi + 48\pi = 176\pi

surface area is 176\pi  units^{2}

Volume of a cylinder is area of the circle base times the height.  

the base is 64\pi

time 3 = 192\pi units^{3}

Volume is 603.1857 units^{3}

note that two of  the answer include pi,  but you have that already put in for you in the answer so leave that part off.  

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lisov135 [29]

Answer:

A. Mean = 9.7 (take all the numbers and divide by 10)

Mode = 12

Range = 5

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7 0
3 years ago
Which of the following is a correct equation for the line passing through the point (-1,4) and having slope m=-3
timurjin [86]

Answer:

y = -3x + 1

Step-by-step explanation:

Starting with the point (-1, 4) and the slope m = -3, write out the point-slope equation of a straight line:  y - k = m(x - h) becomes y - 4 = -3(x + 1), or:

y = -3x - 3 + 4

y = -3x + 1    This is the same as answer choice (b).

5 0
3 years ago
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
Complete the squar3
cricket20 [7]

9514 1404 393

Answer:

  1. 4
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  3. 4
  4. 2
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Step-by-step explanation:

In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.

  1. x² +<u> </u><u>4 </u>x +2 = 0

The constant is subtracted from both sides to get the second line.

  2. x² +4x = <u> -2 </u>

The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4

  3. x² +4x +<u> 4 </u> = -2 +4

On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.

  4. √(x +2)² = ±√<u> 2 </u>

Finally, 2 is subtracted from both sides to find the values of x.

  5. x = <u> -2 ±√2 </u>

8 0
3 years ago
How to write3.repeating 7 as a mixed number
ki77a [65]

Hey there! I'm happy to help!

Let's call our fraction x.

x=3.777......

We want to get rid of the repeating stuff. If we multiply our fraction by 10, we get 10x=37.7777.

We see that if we subtract x from 10x, the repeating numbers will be cancelled out. Let's do this.

10x=37.7777

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x=3.77777

=

9x=34

We divide both sides by 9.

x=34/9=3 7/9.

Have a wonderful day! :D

6 0
3 years ago
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