The coordinates of the vertex for the quadratic function are given as follows: (100,10).
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
The vertex is given by:
In which:
In this problem, the function is given as follows:
y = -x²/1000 + x/5
y = -0.001x² + 0.2x.
Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
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-4-(2m+3)=-m-(5+3)
-4-2m-3=-m-5-3m
-2m-7=-4m-5
-2m+4m=-5+7
2m=2
m=2/2
m=1
Let C be Clowns R Fun charge for b balloons and S be Singing Balloons charge.
C=6+1.25b and S=2+1.95b. C must be less than S.
6+1.25b<2+1.95b, 4<0.7b, b>4/0.7, b>40/7, b>5. So Mrs Travis needs to purchase more than 5 balloons.
4.
This is because 4 goes into 16 4 times, hence 4 x 4 being 16.
Therefore, the answer would be four.
Hope this helps!
Answer:
Therefore the probability that a randomly selected student has time for mile run is less than 6 minute is 0.0618
Step-by-step explanation:
Normal with mean 6.88 minutes and
a standard deviation of 0.57 minutes.
Choose a student at random from this group and call his time for the mile Y. Find P(Y<6)
y ≈ normal (μ, σ)
The z score is the value decreased by the mean divided by the standard deviation
Therefore the probability that a randomly selected student has time for mile run is less than 6 minute is 0.0618
