The answer is 27.3375%.
To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the possibilities of each event are multiplied.
So, we have three events occurring simultaneously:
1. set contains female singer: 45% = 0.45
2. set contains female singer: 45% = 0.45
3. set contains female singer: 45% = 0.45
Also, it should be taken into consideration that there are three set combinations:
female-female-male,
female-male-female,
male-female-female
So, the probability for one set of the song is:
0.45 × 0.45 × 0.45 = 0.091125
Therefore, the probability is multiple ways to achieve this pattern of songs):
3 × 0.091125 = 0.273375 = <span>27.3375%.</span>
Answer:
C) 24 adults
Step-by-step explanation:
Let A be the number of adults and C be the number of children.
If a ticket costs $8 per adult, we can express this as 8A
If a ticket costs $5 per child, we can express this as 5C
Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.
Our second equation would be A+C=40 since there are 40 people.
Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.
The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:
8A+5(40-A)=272
8A+200-5A=272
3A+200=272
3A=72
A=24
Therefore, there are 24 adults
Answer:
Step-by-step explanation:
<u>Use the slope-intercept form, which will be in this case:</u>
- g(u) = mu + b, where m is the slope, b is the y- intercept
<u>Find the slope:</u>
<u>Find the value of the y-intercept:</u>
<u>The equation is:</u>
Answer:
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Step-by-step explanation:
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