The inequality equation represented by the parabola graph is;
y < (x - 2)(x - 8)
<h3>How to Interpret a Quadratic Graph?</h3>
We are told that the zeros of a parabola are 2 and 8. This means that the roots of the quadratic equation represented by the graph are 2 and 8. Thus, the factors of this quadratic graph can be written as;
(x - 2) and (x - 8)
Now, one rule about graphing inequalities is that If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line.
Otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that the region does not include its boundary.
Now, since the parabola is drawn with a dashed line, it means that the inequality sign will be < or > .
Lastly, since the outside of the parabola is shaded, it means that the inequality will be less than. Thus, our inequality equation is;
y < (x - 2)(x - 8)
Read more about Quadratic Graphs at; brainly.com/question/7784687
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Answer:
0.6827
Step-by-step explanation:
Given that :
Mean, μ = 3
Standard deviation, σ = 0.1
To produce an acceptable cork. :
P(2.9 < X < 3.1)
Recall :
Z = (x - μ) / σ
P(2.9 < X < 3.1) = P[((2.9 - 3) / 0.1) < Z < ((3.1 - 3) / 0.1)]
P(2.9 < X < 3.1) = P(-1 < Z < 1)
Using a normal distribution calculator, we obtain the probability to the right of the distribution :
P(2.9 < X < 3.1) = P(1 < Z < - 1) = 0.8413 - 0.1587 = 0.6827
Hence, the probability that the first machine produces an acceptable cork is 0.6827
Answer:
Total Distance Michelle Covered is 26.14 miles
Step-by-step explanation:
According To the Question, We Have
Michelle First Ride Her bike In 12 miles South, then Changed her Direction & Ride Bike For A long While, and when she stopped she find Herself 2 miles south and 10 miles west from starting point. that shows she change direction and start walking in South-West Direction.
(For Diagram, Please Find in attachment)
In Triangle ABC , Apply Phythagorus Theorem
AB² = BC² + AC²
AB² = 10² + 10²
AB² = 200
AB = √2×10 ⇔ 14.14 miles
Now The Total Distance Travelled by Michelle Would be
OA + AB = 26.14 miles
