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AURORKA [14]
3 years ago
6

a cylindrical can has a circumference of 40cm and a capacity of 4.8 litres. Find the capacity of a similar cylinder of circumfer

ence 50cm
Mathematics
1 answer:
notsponge [240]3 years ago
3 0

Answer:

V2/V1 = c2/c1

V/4.8 = 50/40

V = 4.8 *5/4

V = 1.2*5 = 6 L

Step-by-step explanation:

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What is the surface area of a sphere with radius 2
Gelneren [198K]

Answer:

A

Step-by-step explanation:

The surface area (A) of a sphere is calculated as

A = 4πr² ← r is the radius

here r = 2, hence

A = 4π × 2² = 4π × 4 = 16π units² → A

3 0
3 years ago
Rabies is a viral disease of mammals transmitted through the bite of a rabid animal. The virus infects the central nervous syste
lisabon 2012 [21]

Answer:

(a) The value of <em>x</em> is 0.30.

(b) The probability that a reported case of rabies is not a raccoon is 0.45.

(c) The probability that a reported case of rabies is either a bat or a fox is 0.15.

Step-by-step explanation:

Denote the events as follows:

<em>R</em> = reported case of rabies is a raccoon

<em>F</em> = reported case of rabies is a fox

<em>B</em> = reported case of rabies is a bat

<em>O</em> = reported case of rabies is a some other animal.

The data provided is:

P (R) = 0.55

P (F) = 0.11

P (B) = 0.04

P (O) = <em>x</em>.

(a)

A property of a probability distribution is that the sum of all individual properties is 1.

That is, \sum P(X)=1

Compute the value of <em>x</em> as follows:

\sum P(X)=1\\P(R)+P(F)+P(B)+P(O)=1\\0.55+0.11+0.04+x=1\\0.70+x=1\\x=1-0.70\\x=0.30

Thus, the value of <em>x</em> is 0.30.

(b)

The probability of the complement of an event is the probability of its not happening.

P(A^{c})=1-P(A)

Compute the probability that a reported case of rabies is not a raccoon as follows:

P(R^{c})=1-P(R)\\=1-0.55\\=0.45

Thus, the probability that a reported case of rabies is not a raccoon is 0.45.

(c)

Compute the probability that a reported case of rabies is either a bat or a fox as follows:

P(B\cup F)=P(B)+P(F)\\=0.11+0.04\\=0.15

Thus, the probability that a reported case of rabies is either a bat or a fox is 0.15.

4 0
3 years ago
4x + 5y = 22<br> 7x - 3y = -32
lana66690 [7]

Answer:

x = -2

y = 6

Step-by-step explanation:

i multiplied the 1st equation by 3 and the 2nd by 5 to get the y-terms to zero out

   12x + 15y = 66

+  <u>35x - 15y = -160</u>

   47x = -94

x = -94/47

x = -2

substitute -2 for 'x' to solve for 'y':

4(-2) + 5y = 22

-8 + 5y = 22

5y = 30

y = 6

   

3 0
3 years ago
What is 26/36 in simplist form?
andreyandreev [35.5K]

Answer:

13/18

Step-by-step explanation:

26/2= 13

36/2= 18

13/18

5 0
4 years ago
Read 2 more answers
What is the length of the diameter of a circle inscribed in a right triangle with the length of hypotenuse c and the sum of the
jeyben [28]

Answer:

  diameter = m - c

Step-by-step explanation:

In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).

The sum of the lengths of the tangents from points A and B on side "c" is ...

  (b-r) +(a-r) = c

  (a+b) -2r = c

Now, the problem statement defines the sum of side lengths as ...

  a+b = m

and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...

  m -d = c

  m - c = d . . . . add d-c

The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.

5 0
3 years ago
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