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LekaFEV [45]
3 years ago
11

Why do we use variables, and what is the significance of using them in expressions and equations?

Mathematics
1 answer:
n200080 [17]3 years ago
7 0
A variable is the unknown amount ojj
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a bag contains eleven counters. five are white. a counter is taken out the bag and is not replaced. a second counter is taken ou
Fed [463]

Answer:

\displaystyle P(A)=\frac{6}{11}

Step-by-step explanation:

<u>Probabilities</u>

The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.

Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is

\Omega=\{WW,WN,NW,NN\}

We are required to compute the probability that only one of the counters is white. It means that the favorable options are

A=\{WN,NW\}

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is

\displaystyle \frac{5}{11}

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now

\displaystyle \frac{6}{10}

Thus the option WN has the probability

\displaystyle P(WN)=\frac{5}{11}\cdot \frac{6}{10}=\frac{30}{110}=\frac{3}{11}

Now for the second option NW. The initial probability to pick a non-white counter is

\displaystyle \frac{6}{11}

The probability to pick a white counter is

\displaystyle \frac{5}{10}

Thus the option NW has the probability

\displaystyle P(NW)=\frac{6}{11}\cdot \frac{5}{10}=\frac{30}{110}=\frac{3}{11}

The total probability of event A is the sum of both

\displaystyle P(A)=\frac{3}{11}+\frac{3}{11}=\frac{6}{11}

\boxed{\displaystyle P(A)=\frac{6}{11}}

7 0
3 years ago
Please help!!!!!!!!!!!!!!!
Andreas93 [3]

Answer:

a)  12/91

b) about 67 times;  (66 2/3)

Step-by-step explanation:

a) total of frequencies is 90 and frequency for a 3 is 11

however, the question said if the dice is rolled once more, then that raises the 11 to 12 and the frequency total from 90 to 91

let 'x' = # of sixes rolled out of 500 times

b) 12/90 = x/500

cross-multiply:

90x = 6000

x = 66 2/3

7 0
3 years ago
Given only the information in the diagram, determine if m is parallel to n. If so, name the postulate or theorem used to support
Advocard [28]

Answer:

<em><u>From my research on the internet, the image attached supports this problem. The two lines are parallel, as supported by the converse of corresponding angles postulate. It states that: If a transversal intersects two lines and the corresponding angles are congruent, then the lines are parallel.</u></em>





8 0
3 years ago
What is 12/39 in simplest form
Genrish500 [490]
<span>If you would like<span> to know what is </span>12/39 in simplest form, you can calculate this using the following step:<span>

12/39<span> simplifies to 4/13 (the common factor of 12 and 39 is 3, so you can divide both numbers by 3).</span>

<span>The result is 4/13.</span></span></span>
8 0
3 years ago
Read 2 more answers
Give letter answer if you give equations rewritten I will give extra points :)
padilas [110]

Answer:

<em>(a), (d)</em>

Step-by-step explanation:

7 0
2 years ago
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