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Scilla [17]
3 years ago
13

Totsakan's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 1

2 child tickets for a total of $178. The school took in $83 on the second day by selling 4 adult tickets and 3 child tickets. Find the price of an adult ticket and the price of a child ticket.
Mathematics
1 answer:
bija089 [108]3 years ago
3 0

Answer:

1) adult ticket: $14, child ticket: $9

Step-by-step explanation:

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In Leakwater township, there are two plumbers. On a particular day three Leakwater residents call village plumbers independently
Marianna [84]

Answer:

25% probability that all three residents will choose the same plumbe

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Each resident randomly chooses one of the two plumbers.

This means that p = \frac{1}{2} = 0.5

Three residents:

This means that n = 3

What is the probability that all three residents will choose the same plumb

This is P(X = 0)(all choose the second pumble) or P(X = 3)(all choose the first pumble). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

p = P(X = 0) + P(X = 3) = 2*0.125 = 0.25

25% probability that all three residents will choose the same plumbe

4 0
3 years ago
8 x - 4 (5 - x) = -44
Sphinxa [80]

8 x - 4 (5 - x) = -44

mutiply the bracket by -4

(-4)(5) = -20

(-4)(-x)= 4x

8x-20+4x= -44

8x+4x-20= -44 ( combine like terms )

12x-20= -44

move -20 to the other side

sign changes from -20 to +20

12x-20+20= -44+20

12x= -44+20

12x= -24

divide both sides by 12

12x/12= -24/12

Answer: x= -2

3 0
3 years ago
Answer the geometry question in the pic and save my life...
Anastasy [175]

Answer:

The answer should be A'(-9,3) B'(12,-6)

Step-by-step explanation:

If you dialate, you multiply every coordinate by 3. -3 x 3= -9. 1 x 3=3. 4 x 3= 12. -2 x 3= -6. So,  the last option is correct.

3 0
3 years ago
If the perimeter of the adult pinball machine is 177 inches, what is the lenght, in inches of g'a'?
borishaifa [10]
The length of the paintball machine could vary. If it is a square; then it would be 44.25 in. If it was a rectangle the answer Could be many different lengths, but one is 65 in (Width 23.5 in) I hope this helped ^^
4 0
3 years ago
Debra has ridden 57 miles of a bike course the course is 60 miles long what percentage of the course has Debra ridden so far
Reptile [31]

Hello!

To find our answer, we just divide.

57/60=0.95

We multiply by 100 to find our percent

100(0.95)-95

Therefore, our answer is 95%

I hope this helps!

4 0
3 years ago
Read 2 more answers
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