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Gnom [1K]
3 years ago
5

This water tank is made from a cylinder cone what is the volume of the tank HELP PLEASE

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

Answer:

A

Step-by-step explanation:

it might be the answer but I don't know for sure. SORRY

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An urn contains n white balls andm black balls. (m and n are both positive numbers.) (a) If two balls are drawn without replacem
Genrish500 [490]

DISCLAIMER: Please let me rename b and w the number of black and white balls, for the sake of readability. You can switch the variable names at any time and the ideas won't change a bit!

<h2>(a)</h2>

Case 1: both balls are white.

At the beginning we have b+w balls. We want to pick a white one, so we have a probability of \frac{w}{b+w} of picking a white one.

If this happens, we're left with w-1 white balls and still b black balls, for a total of b+w-1 balls. So, now, the probability of picking a white ball is

\dfrac{w-1}{b+w-1}

The probability of the two events happening one after the other is the product of the probabilities, so you pick two whites with probability

\dfrac{w}{b+w}\cdot \dfrac{w-1}{b+w-1}=\dfrac{w(w-1)}{(b+w)(b+w-1)}

Case 2: both balls are black

The exact same logic leads to a probability of

\dfrac{b}{b+w}\cdot \dfrac{b-1}{b+w-1}=\dfrac{b(b-1)}{(b+w)(b+w-1)}

These two events are mutually exclusive (we either pick two whites or two blacks!), so the total probability of picking two balls of the same colour is

\dfrac{w(w-1)}{(b+w)(b+w-1)}+\dfrac{b(b-1)}{(b+w)(b+w-1)}=\dfrac{w(w-1)+b(b-1)}{(b+w)(b+w-1)}

<h2>(b)</h2>

Case 1: both balls are white.

In this case, nothing changes between the two picks. So, you have a probability of \frac{w}{b+w} of picking a white ball with the first pick, and the same probability of picking a white ball with the second pick. Similarly, you have a probability \frac{b}{b+w} of picking a black ball with both picks.

This leads to an overall probability of

\left(\dfrac{w}{b+w}\right)^2+\left(\dfrac{b}{b+w}\right)^2 = \dfrac{w^2+b^2}{(b+w)^2}

Of picking two balls of the same colour.

<h2>(c)</h2>

We want to prove that

\dfrac{w^2+b^2}{(b+w)^2}\geq \dfrac{w(w-1)+b(b-1)}{(b+w)(b+w-1)}

Expading all squares and products, this translates to

\dfrac{w^2+b^2}{b^2+2bw+w^2}\geq \dfrac{w^2+b^2-b-w}{b^2+2bw+w^2-b-w}

As you can see, this inequality comes in the form

\dfrac{x}{y}\geq \dfrac{x-k}{y-k}

With x and y greater than k. This inequality is true whenever the numerator is smaller than the denominator:

\dfrac{x}{y}\geq \dfrac{x-k}{y-k} \iff xy-kx \geq xy-ky \iff -kx\geq -ky \iff x\leq y

And this is our case, because in our case we have

  1. x=b^2+w^2
  2. y=b^2+w^2+2bw so, y has an extra piece and it is larger
  3. k=b+w which ensures that k<x (and thus k<y), because b and w are integers, and so b<b^2 and w<w^2

4 0
3 years ago
48% de 8,4===============​
Fofino [41]

Answer: 4,032

Step-by-step explanation:

8,4 x 0,48 = 4,032

3 0
3 years ago
What is the DEGREE of Vertex B?
Jet001 [13]
The degree of vertex b is b
8 0
3 years ago
Sarah and get four friends go fishing. They catch 16 fish on Saturday and 14 fish on Sunday. They share the fish equally. How ma
Novay_Z [31]

Answer:

6 fishes

Step-by-step explanation:

The question here is to find the number of fishes each person gets.

To solve this, we need to know the total amount of fishes caught and the number of persons that would be involved in the sharing.

From the question, we can see that they caught 16 fishes on Saturday and 14 fishes on Sunday. The total number of fishes caught is thus 16 + 14 = 30 fishes

This means they caught a total of 30 fishes on both days. Now they share equally the number of fishes. The number of persons is a total of 5. Hence we are looking at sharing 30 fishes equally among 5 persons.

Thus, each person will get 30/5 fishes which equals 6 fishes per person

5 0
3 years ago
What two consecutive even integers have a sum of -66?
pshichka [43]

Answer:

the sum of 2 consecutive even integers is 66.

Step-by-step explanation:

This means that if one integers is x, the other must be either x-2 or x+2. Therefore, we can write 6=x+(×-2)=2×2. Solving for x, we can find ×=34. this means that the other integer is 34-2=32. indeed, 32+34=66, and done hope this helped C:

7 0
3 years ago
Read 2 more answers
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