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jolli1 [7]
2 years ago
5

A total of

Mathematics
2 answers:
Yuliya22 [10]2 years ago
6 0
The answer is 110 440/4=110
gulaghasi [49]2 years ago
4 0
The answer is 110 adult tickets. Let x= student tickets and y= adult tickets. 

We know that the total tickets sold was 440. That means the total number of student tickets (x) plus the total number of adult tickets (y) equaled 440. Putting it into an equation, you get:

x+y=440

Now we know that the amount of student tickets is equal to three times as many adult tickets, so in an equation that is seen as:

x=3y

In order to solve for one variable, plug in 3y for the x value of the first equation to get:

y+3y=440

then solve:

4y=440
y= 440/4
y=110

The total number of adult tickets sold was 110 tickets. 
(This method used in math is technically called "Solving Systems of Equations", just fyi).


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The formula for E(x) would be SUM[ X(n)P(n)] from n = 1 to n = infinity until we get the prime number

In the given problem, a 10-sided die with 1-10 numbers is rolled until we get a prime number

Prime numbers between 1-10 = 2,3,5,7 (4 prime numbers)

Non - prime numbers = 1,4,6,8,9,10( 6 non-prime number)

Let X be the number of times the die is rolled

The probability of getting a prime =

P(Prime) = \frac{4}{10}

Now, the value of

E(X)=∑x.P(x) [ x-> {1, infinity}]

= P(1)X(1) +P(2)X(2)+P(3)X(3)+P(4)X(4)........+ P(n)X(n)

= 1.\frac{4}{10} + 2. \frac{6}{10}.\frac{4}{10} + 3.\frac{6}{10}.\frac{6}{10}\frac{4}{10} + 4. \frac{6}{10}.\frac{6}{10}.\frac{6}{10}.\frac{4}{10}.......

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4 0
1 year ago
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<h3>How to determine the image of point B?</h3>

The complete question is added as an attachment

From the attached image, we have the following coordinate

B = (-2, 4)

When the triangle is rotated by 270 degrees, the rule of rotation is:

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