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Nataly [62]
3 years ago
10

The Booster Club voted on

Mathematics
1 answer:
ikadub [295]3 years ago
6 0

Answer:

The number of tickets purchased costing $21 each =   18

The number of tickets purchased costing $ 27 each =   11

Step-by-step explanation:

The total number of tickets purchased = 29

Here, let us assume that:

The number of tickets  purchased costing $21   = m

The number of tickets purchased costing $ 27  = 29 - m

So, now the cost of m tickets costing $21 each = m x ( $21)  = 21 m

Also, the cost of purchasing ( 29-m) tickets costing $27 each

= (29-m)x   $27   = 783  - 27 m

Also, the total cost of purchasing  29 tickets  = $ 675

⇒ The total cost of m tickets  +  (29- m ) tickets  = $ 675

or,  21 m + 783  - 27 m  =  675

⇒  - 6 m  = 675  - 783  =  -108

or, m  108/6 =  18

⇒ m  = 18

Hence the number of tickets purchased costing $21 each = m = 18

The number of tickets purchased costing $ 27 each  = 29 - m

= 29 - 18  =  11

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Drupady [299]

Using the uniform distribution, it is found that there is a 0.3 = 30% probability that Samantha has to wait less than 4.5 minutes to catch the bus.

<h3>What is the uniform probability distribution?</h3>

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

In this problem, the time is uniformly distributed between 0 and 15 minutes, hence the bounds are a = 0 and b = 15.

The probability that Samantha has to wait less than 4.5 minutes to catch the bus is given by:

P(X < 4.5) = \frac{4.5 - 0}{15 - 0} = 0.3

More can be learned about the uniform distribution at brainly.com/question/13889040

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2 years ago
What is the solution to 2logg(x) = logg8+log,(x-2)?<br> x=-4<br> x=-2<br> X=4<br> X= 8
astra-53 [7]

Answer:

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Step-by-step explanation:

We can re-write the logarithmic equation using the properties of logarithms:

2\,log(x)=log(8)+log(x-2)\\log(x^2)=log(8*(x-2))\\log(x^2)=log(8x-16)

Therefore, the arguments of the log functions must also be equal (and we can solve for "x" by noticing that this expression is the perfect square of a binomial:

x^2=8x-16\\x^2-8x+16=0\\(x-4)^2=0

and for this equation to verify, x must be 4

5 0
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Answer:

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Step-by-step explanation:

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alexandr1967 [171]

Answer:

x = -\dfrac{25}{13}

Step-by-step explanation:

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\dfrac{x + 4}{x + 2} = 27

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