Answer:
# of students = 393, # of non-students = 104
Step-by-step explanation:
We have a system of equations (# of students = s, # of non-students = n):
1. Total people attended: s + n = 497
2. Total earnings: 2.5s + 4.5n = 1450.5
We can <em>change the first equation to n = 497 - s</em>, and <em>substitute that into the other equation: 2.5s + 4.5(497 - s) = 1450.5</em>
Expand: 2.5s + 2236.5 - 4.5s = 1450.5
Subtract: 2.5s - 4.5s = 1450.5 - 2236.5
Simplify: -2s = -786
Divide: s = 393
Plug into first equation: 393 + n = 497
Subtract: n = 104
Answer:
(-8,0)
Step-by-step explanation:
Here’s something that might help,when brainly doesn’t help me i use socratic!!!!
Answer:
A) $15t - $700 ≥ $1000
B) At least 114 tickets
C) As the attached graph
Step-by-step explanation:
The 7th grade class is putting on a variety show to raise money.
It cost $700 to rent the banquet hall that they are going to use.
If they charge $15 for each ticket,
We are to find how many tickets they need to sell in order to raise at least $1000.
Let the number of tickets they need to sell be t.
The inequality that represents this situation is;
$15t - $700 ≥ $1000
The least number of tickets they can sell is;
$15t ≥ $1000 + $700
$15t ≥ $1700
t ≥ 113.3333 (rounded to four decimal values)
But since we can have 0.3 tickets the class will have to sell at least 114 tickets
The graphed situation is as attached. We need the shaded region.
Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.
<h3>What do you mean by standard deviation?</h3>
In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
WE have been given that SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points.
The solution as follows;
Let be X: scores of SAT
P(X ≥ x) = 0.9
P((X - 500)/100 ≥ (x - 500)/100) = 0.9
P(Z ≥ z) = 0.9
z = 1.28
1.28 = (x - 500)/100
128 + 500 = x
x = 628
Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.
Learn more about standard deviation and variance:
brainly.com/question/11448982
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