Answer:102 children and 337 adults swam at the publice pool that da
Step-by-step explanation:
let the number of children be x
and
the number of adults be y
such that the total number of people who came to use the public swimming pool be expressed as
x + y = 439----- Equation 1
and price for swimming be expressed as
1.75x + 2.50y =1021----- Equation 2
Step 2
x + y = 439----- Equation 1
1.75x + 2.50y =1021----- Equation 2
First make x the subject formulae and put in equation 2
x= 439-y
1.75 (430-y) + 2.50y = 1021
Solving gives
768.25-1.75y+2.50y=1021
2.50y-1.75y=1021-768.25
0.75y=252.75
y =252.75/0.75
y=337
To find x, put the value of y = 337 in equation 1
x+y= 439
x= 439-337
x=102
Therefore 102 children and 337 adults swam at the public pool that day
The standard deviation is 1.43 below the mean
<h3>How to determine the number of standard deviation?</h3>
The given parameters are:
Mean = 98.249
Standard deviation = 0.733
x = 97.2
To calculate the number of standard deviation below the mean, we use

So, we have:

Evaluate the like terms

Divide both sides by -0.733
n =1.43
Hence, the standard deviation is 1.43 below the mean
Read more about standard deviation at:
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Answer:
18 and 65
Step-by-step explanation:
under 18 would be 17 and under, therefore not including 18 year olds. obviously they are not 19 yet either, so they wouldn't fall into either category, therefore they may be unsure of what to answer.
same with 65 year olds; they are more than 64 year old, but not yet /over/ 65, therefore they would not fit into either category either.
Answer:
The probability is 0.0069
Step-by-step explanation:
First thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD/√(n)
where x = 9.1 , mean = 8.4 , SD = 1.8 and n = 40
Plugging these values into the z-score equation, we have;
z-score = (9.1-8.4)/1.8/√(40) = 0.7/1.8/6.325 = 0.0615
Now, we check the standard normal table for P(z > 2.46) = 0.0069
Answer is $22.37:
You subtract $56.75 from $87.37,which equals $30.62, then you add the 2 checks that the bank didn't return and subtract that amount from the $30.62.