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zvonat [6]
2 years ago
14

On a certain hot​ summer's day, 611 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 fo

r adults. The receipts for admission totaled $ 1143.75 . How many children and how many adults swam at the public pool that​ day?
Mathematics
1 answer:
Anna007 [38]2 years ago
7 0

Answer:

298 adults and 313 children

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x: children's tickets

let y: adult's tickets

So:

1.75 * x + 2 * y = 1143.75

x + y = 611 => x = 611 - y

Replacing, we are left with that:

1.75 * (611 - y) + 2 * y = 1143.75

1069.25 - 1.75 * y + 2 * y = 1143.75

- 1.75 * y + 2 * y = 1143.75 - 1069.25

0.25 * y = 74.5

y = 74.5 /0.25

y = 298

Now to calculate x:

x = 611-298

x = 313

It means that there were 298 adults and 313 children

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A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 125 is selected and is used to estimate
Mrrafil [7]

Answer:

a:  0.8884

b: 0.9934

Step-by-step explanation:

We have µ = 300 and σ = 70.  The sample size, n = 125.  

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Next we want the probability of the sample mean to be within 17 units of the population mean, so we want the values from 283 to 317.  We want to find

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2 years ago
What is the first quartile (Q1) of the data set?
KATRIN_1 [288]
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Hope this helps!
8 0
3 years ago
3m+n=10<br>5m-2n=2<br>what is the answer for this one ​
svlad2 [7]

Answer:

m = 2

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Step-by-step explanation:

Ok so to solve this, you want to get it so there is only one variable and then solve that equation. To do this, you can start by doing:

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now, in both of your equations you have 2n so you can add the two equations:

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2 years ago
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