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ziro4ka [17]
3 years ago
15

A bag contains 8 white marbles, 6 red marbles and 4 blue marbles. How many blue marbles must be added to the bag so that the pro

bability of choosing a blue marble is 1/2?
Mathematics
2 answers:
iren [92.7K]3 years ago
8 0

Answer:

5 marbles

Step-by-step explanation:

A bag contains

8 white marbles

6 red marbles

4 blue marbles.

Total number of marbles is :

8 + 6 + 4

= 18 marbles

Based on this current proportion

The Probability of choosing a blue marble = Number of blue marbles/ Total number of marbles

In order for the Probability of choosing a blue marble to be 1/2

The number of blue marbles has to be:

= 18 marbles × 1/2

= 9 blue marbles

From the question we have 4 blue marbles, hence:

9 blue marbles - 4 blue marbles

= 5 blue marbles

Therefore, 5 blue marbles must be added to the bag so that the probability of choosing a blue marble is 1/2.

Len [333]3 years ago
4 0

Answer:

The actual answer would be 10 marbles.

Step-by-step explanation:

1. <em>we had started off by adding </em>8+4+6 <em>to get the total number of marbles. If we do that, we will get that there are </em>18 marbles in total.

2. <em>here is where the others went wrong. If we say that we need 5 blue marbles to get 9/18 blue marbles, you are wrong. </em><em>This is because we have to add 5 to the total number of marbles as well. </em><em>Then we get 9/23 marbles. which is clearly not 1/2, </em>

3. <em>However, if we multiply 5 by 2, we get 10 blue marbles. if we add 10 to the original 18, we get </em>28 total marbles. <em>Now if we add 10 to 4 we get 14 blue marbles. </em>

<u><em>SUCCESS!!!</em></u>

<em>14/28 blue marbles is 1/2, therefore we must add 10 blue marbles.</em>

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Answer: Yes


Step-by-step explanation:

The square root of 4 + the square root of 16 = 6 which is a rational number.

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Hope this helps!

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Translate the following statement into a mathematical equation:
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A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (–12, –16), and San Francisco is located
makkiz [27]
The answer is 34.05

The total distance (D) is the sum of three distances (d1, d2, and d3).

The distance formula is d = \sqrt{(x2-x1)^{2} +(y2-y1)^{2}}

Distance 1: Phoenix (–12, –16) to Blythe (–20, –9)<span>:
</span>d1 = \sqrt{(-20-(-12))^{2} +(-9-(-16))^{2}} =\sqrt{(-20+12)^{2} +(-9+16)^{2}} \\ =\sqrt{(-8)^{2} +(7)^{2}}= \sqrt{64+49} = \sqrt{113}= 10.63

Distance 2: Blythe (–20, –9) to Los Angeles (–33, –4):
d2 = \sqrt{(-33-(-20))^{2} +(-4-(-9))^{2}} =\sqrt{(-33+20)^{2} +(-4+9)^{2}} \\ =\sqrt{(-13)^{2} +(5)^{2}}= \sqrt{169+25} = \sqrt{194}= 13.93

Distance 3: Los Angeles (–33, –4) to <span>San Francisco (–36, 5)
</span>d3 = \sqrt{(-36-(-33))^{2} +(5-(-4))^{2}} =\sqrt{(-36+33)^{2} +(5+4)^{2}} \\ =\sqrt{(-3)^{2} +(9)^{2}}= \sqrt{9+81} = \sqrt{90}= 9.49
<span>
D = d1 + d2 + d3 = 10.63 + 13.93 + 9.49 = 34.05</span>
3 0
3 years ago
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