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Burka [1]
3 years ago
11

Find the surface area of a cylinder with a diameter of 34 and height of 10. Use 3.14 for π. Round your answer to the nearest ten

th.
Mathematics
1 answer:
mart [117]3 years ago
7 0
The formula for the surface area of a cylinder is:
A=2\pi rh+2\pi r^{2}

As you probably know, the diameter is 2 times the radius, so by dividing the diameter, 34, by 2, we get 17 to be the radius.

Now, just plug the numbers in:
A=2\pi rh+2\pi r^{2}\\ A=2(3.14)(17)(10)+2(3.14)(17)^{2}\\ A=1067.6+1814.92\\ A=2882.5
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Which answer describes the transformation of f(x )= x^2 − 1 to g(x) = ( x + 4 )^2 − 1?
OverLord2011 [107]
The (x + 4) tells you that the function is moving 4 units to the left.
the answer would be letter C
5 0
3 years ago
A data scientist studying a manufacturing process classifies each item produced by the process as either Poor, Acceptable, or Ex
Genrish500 [490]

Answer:

0.214 ; 0.064 ; 0.3859 ; 0.9966 ; 0.135

Step-by-step explanation:

Given the distribution :

Poor ___ Acceptable ____ Excellent

0.25 _____ 0.6 _________ 0.15

The data scientist receives three items produced by the manufacturing process.

Find the chance that:

a. all of items are Acceptable

0.6 * 0.6 * 0.6 = 0.6^3 = 0.214

b. none of the items is Acceptable

P(not acceptable) = 1 - p(acceptable) = 1 - 0.6 = 0.4

0.4 * 0.4 * 0.4 = 0.4^3 = 0.064

c. at least one of the items is Excellent

P(atleast one) = 1 - P(none)

P(not excellent) = 1 - 0.15 = 0.85

P(none is excellent) = 0.85^3 = 0.614125

Hence,

P(atleast one is excellent) = 1 - 0.614125 = 0.3859

d. not all of the items are Excellent

P(not all) = 1 - p(All)

P(all excellent) = 0.15^3 = 0.003375

P(not all are excellent) = 1 - 0.003375 = 0.9966

e. there is one item of each class:

P(poor) * p(acceptable) * p(excellent) * (number of classes)!

0.25 * 0.6 * 0.15 * 3!

= 0.135

3 0
3 years ago
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Sidana [21]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Simplify: −√16x^2 , when x<0
Savatey [412]

Answer:

-4|x|

Step-by-step explanation:

To simplify :

-\sqrt{16x^2} , when x

In order to simplify the given expression we will take the square root of the term inside the root.

The term in the square root are perfect squares (square of an integer), so, we can write them in square of the numbers.

⇒ -\sqrt{(\pm4x)^2}   [As (\pm4x)^2=16x^2]

On taking square root the square gets removed. So, we have,

⇒ -(\pm4x)

⇒ -4|x|

Since x, so the value would be negative.

So, simplified answer is

-4|x|  (Answer)

3 0
4 years ago
In a class if 20 students, 60% are girls. How many Students are girls?
seropon [69]
12 students are girls and 8 are boys.
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3 years ago
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