Answer:
144 children and 170 adults
Step-by-step explanation:
make 2 equations
make :
the children as the regarded as the variable : x
the adults are the regarded as the variable : y
<em>5x + 6 y = 1740</em>
<em>x + y = 314</em>
<h3><u>solve this by the method of elimination </u></h3>
5x + 6y = 1740
5(x + y = 314)
= 5x + 5y = 1570
5x + 6y = 1740
5x + 5y = 1570
the 5x is cancelled out
6y - 5y = 1740 - 1570
y = 170
now replace the value of y in the eqaution
5x + 6 (170) = 1740
5x =720
x = 144
hence they were 144 children and 170 adults
mark as brainiest
Answer:
Step-by-step explanation:
5x^2+4x-2 This is a second degree polynomial since the largest exponent is x^2
A) 6x -5y = 5
B) 3x + 5y = 4
Adding the equations:
9x = 9
x = 1
A) 6*1 -5y = 5
A) 6 - 5 = 5y
A) 5y = 1
y = 1/5 = .2
Answer:

If we divide both sides by
we got:

And we can use the normal distribution table or excel to find the probabilites and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:
Where
and 
We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean
is given by:

And we want to find this probability:

If we divide both sides by
we got:

And we can use the normal distribution table or excel to find the probabilites and we got:
