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mylen [45]
3 years ago
7

A bag contains 9 marbles, of which 3 are red and 6 are blue. players 1 and 2 take turns drawing marbles from the bag without rep

lacement until a red marble is drawn.
Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0

Solution:

For the first marble chosen by the player1,  

The probability that the marble is red is 3/9=1/3

 

After that the second player chose without replacement, there are 8 marbles left, of which 6 are blue.  So the probability of the second one being red is 6/8 = 3/4.

 

Since the question is asking the probability of both events happening,

So we have to multiply the two probabilities.

 

So the answer is (1/3) * (3/4) = 1/4.


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Find the value of 4x^2– 2y when x = 3 and y = 2.
xxMikexx [17]

Answer:

The answer is 32.

Step-by-step explanation:

Remember that order of operation is very important in this problem.

Substitute x for 3 and y for 2 in the equation.

When solving the first term, we must note that we have to square the 3 first before we multiply it by 4. So, 4(3)^2 is basically 36. To simplify the second term you just have to do 2*2, which is 4. 36-4=32, which is the answer.

4 0
3 years ago
A zoo has a black rhinoceros that weighs 18 times as much as an average-size chimpanzee. The rhinoceros weighs 2,250 pounds.
Vinvika [58]

Answer: 125 pounds

Step-by-step explanation:

Let's first represent the weight of the black rhinoceros and chimpanzee with variables. We will assign <em>r</em> for the rhinoceros and <em>c</em> for the chimpanzee.

In the question, we were given that the weight for a black rhinoceros is 18 times as much as an average-size chimpanzee. This makes 18 times the chimpanzee's weight equal to the rhinoceros' weight.

Let's put this into an equation.

r=18*c

Now, let's put in the values we know to find the weight of the chimpanzee (i.e., <em>c</em>). We know the weight of a rhinoceros (represented by <em>r</em>) is 2250 pounds, so we can replace it for <em>r</em> in the equation.

2250=18*c

To solve this equation, we can divide both sides by 18 to get c by itself and know what it's value is.

\frac{2250}{18}=\frac{18*c}{18}

We can remove the \frac{18}{18} from the right side to be left with c. We can also divide 2250 by 8 to get the weight of an average-size chimpanzee.

c=\frac{2250}{18}\\ c=125

Hence, an average-size chimpanzee weighs 125 pounds.

8 0
2 years ago
H (x) = x + 4; Find h (x – 3)
sweet [91]

Answer:

The answer is option 2.

Step-by-step explanation:

You have to substitute the expressions into x :

h(x) = x + 4

h(x - 3) = (x - 3) + 4

h(x - 3) = x - 3 + 4

h(x - 3) = x + 1

3 0
3 years ago
Choose the item that has measurable volume.
miss Akunina [59]

Answer:

B. A jug of milk

Step-by-step explanation:

Hope this helps you :)

6 0
3 years ago
!!!Please help!!!<br><br> (See attachment)
Marrrta [24]

Answer:

Given in figure ABCD:

∠ABD≅∠CBD

AB≅CB

To prove:

∠A≅∠C

Solution:

In the figure ABCD, we will first prove the Δ ABD and Δ CBD are congruent.

Thus the proof can be given as:

Statement                  Reason

1) \angle ABD \cong \angle CBD    Given

2) AB\cong CB             Given

3) BD\cong BD       Reflexive property of congruence (As the segment                                          is congruent to itself)

4) \triangle ABD\cong \triangle CBD    S.A.S (Side Angle side)

5) \angle A\cong \angle C   Corresponding parts of congruent triangles are congruent.

Hence proved.

7 0
4 years ago
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