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Bumek [7]
2 years ago
8

Two families went to Rollercoaster World. The Brown family paid 170 for 3 children and 2 adults. The Peckham family paid 360 for

4 children and 6 adults. If x is the price of a child's ticket in dollars and y is the price of adult's ticket in dollars. What is the system of equations?
Mathematics
1 answer:
cestrela7 [59]2 years ago
3 0

Answer: the system of equations are

3x + 2y = 170

4x + 6y = 360

Step-by-step explanation:

Let x represent the price of a child's ticket in dollars.

Let y represent the price of an adult's ticket in dollars.

The Brown family paid 170 for 3 children and 2 adults. This would be expressed as

3x + 2y = 170

The Peckham family paid 360 for 4 children and 6 adults. This would be expressed as

4x + 6y = 360

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The coordinate points below show part of the data collected by the cell phone company, where x is age in years and y is texting
Vikentia [17]

Answer:

No, there is no clear relationship between age and texting speed.

Step-by-step explanation:

i already did it

6 0
1 year ago
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The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"† proposed using the Poisson distribution
oksian1 [2.3K]

Answer:

a. P(X ≤ 5) = 0.999

b. P(X > λ+λ) = P(X > 2) = 0.080

Step-by-step explanation:

We model this randome variable with a Poisson distribution, with parameter λ=1.

We have to calculate, using this distribution, P(X ≤ 5).

The probability of k pipeline failures can be calculated with the following equation:

P(k)=\lambda^{k} \cdot e^{-\lambda}/k!=1^{k} \cdot e^{-1}/k!=e^{-1}/k!

Then, we can calculate P(X ≤ 5) as:

P(X\leq5)=P(0)+P(1)+P(2)+P(4)+P(5)\\\\\\P(0)=1^{0} \cdot e^{-1}/0!=1*0.3679/1=0.368\\\\P(1)=1^{1} \cdot e^{-1}/1!=1*0.3679/1=0.368\\\\P(2)=1^{2} \cdot e^{-1}/2!=1*0.3679/2=0.184\\\\P(3)=1^{3} \cdot e^{-1}/3!=1*0.3679/6=0.061\\\\P(4)=1^{4} \cdot e^{-1}/4!=1*0.3679/24=0.015\\\\P(5)=1^{5} \cdot e^{-1}/5!=1*0.3679/120=0.003\\\\\\P(X\leq5)=0.368+0.368+0.184+0.061+0.015+0.003=0.999

The standard deviation of the Poisson deistribution is equal to its parameter λ=1, so the probability that X exceeds its mean value by more than one standard deviation (X>1+1=2) can be calculated as:

P(X>2)=1-(P(0)+P(1)+P(2))\\\\\\P(0)=1^{0} \cdot e^{-1}/0!=1*0.3679/1=0.368\\\\P(1)=1^{1} \cdot e^{-1}/1!=1*0.3679/1=0.368\\\\P(2)=1^{2} \cdot e^{-1}/2!=1*0.3679/2=0.184\\\\\\P(X>2)=1-(0.368+0.368+0.184)=1-0.920=0.080

4 0
1 year ago
The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months cost
LekaFEV [45]
12x50=600 so 60 left
15x50=750 so 60 left
so the administration fee is 60
5 0
2 years ago
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A rectangular exercise mat has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to
Karo-lina-s [1.5K]
<h2>Hello!</h2>

The answers are:

- Length

length=2width=12feet

- Width

width=6feet

- Area

Area=72feet^{2}

<h2>Why?</h2>

We are given the perimeter of a rectangular mat, and we are asked to find the area, and write an equation to determine the length, if feet, of the mat. To solve this problem we need to remember the equation of the perimeter of a rectangle, which is:

Perimeter=2length+2width

Using the given information we have,

36feet=2length+2width

Also, we know that the length is twice the width, so:

length=2width

Then, substituting the second equation into the first equation, we can find the width of the mat.

Substituting, we have:

36feet=2(2width)+2width

36feet=4width+2width

36feet=6width

[tex]\frac{36feet}{6} =width\\width=\frac{36feet}{6} =6feet[/tex]

Then, substituting the width into the second equation, we can find the length of the mat,

Substituting, we have:

length=2width

length=2(6feet)=12feet

Then, finding the area, we have:

A=length*width=12feet*6feet=72feet^{2}

Have a nice day!

7 0
2 years ago
I would like to purchase 20 products at a cost 65.00 per product. what will be my total? your state has 3.5% sales tax
xxTIMURxx [149]
20*65 = 1300
That's the price without tax.
Now to find tax:
1300*.035 = 45.5
1300+45.5 = $1345.5

$1345.5 is your total

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