What is 2 3/4 graphed on a coordinate grid? Y-Axis Max: 10 X-Axis Max: 10
1 answer:
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Answer:
a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55
b)0.6004
c)19.607
Step-by-step explanation:
Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2
X ~ Poisson(A) where
a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar
50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55
So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55
b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment
Let X denotes the number of grams to be eaten before another fragment is detected.
c)The expected number of grams to be eaten before encountering the first fragments :
s
Answer:
a) axis of symmetry: <em> </em><em>x</em> = <em>h</em>
b) Vertex: (3, 11).
c/d) Maximum point = vertex (3, 11).
Step-by-step explanation:
<em><u>Note:</u></em><em> </em>This post will only provide the answers for parts a through d, in accordance with Brainly's Guidelines.
Given the quadratic equation, y = – 2x² + 12x - 7, where a = -2, b = 12, and c = -7:
<h3> </h3><h3>a) What is equation of the axis of symmetry?</h3>The <u>axis of symmetry</u> is an imaginary line that divides the graph of a parabola into two symmetrical parts. The axis of symmetry goes through the x-coordinate of the vertex, (<em>h</em>, k). Hence, the axis of symmetry is often represented by the following equation: x = h.
<h3 /><h3>b) What is the vertex?</h3>We can find the x-coordinate of the vertex by using the following formula:
Substitute the given values for a = -2, and b = 12 into the formula:
Hence, the x-coordinate of the vertex is 3.
Substitute x = 3 into the given quadratic equation to find its corresponding y-coordinate:
y = – 2x² + 12x – 7
y = – 2(3)² + 12(3) – 7
y = –2(9) + 36 – 7
y = – 18 + 36 – 7
y = 11
Therefore, the <u>vertex</u> of the given quadratic equation is (3, 11).
<h3 /><h3>c/d) Does the equation have a maximum or minimum? What is the maximum/minimum?</h3>The value of the "<em>a</em>" coefficient in the quadratic equation, y = <u>a</u>x² + bx + c, determines whether a given parabola has either a minimum, or a maximum.
- If <em>a</em> > 1, then it means that the graph of a parabola opens <u>upward</u>, and the vertex is its <u><em>minimum</em></u> point.
- If <em>a</em> < 0, then the graph of a parabola opens downward, and the vertex is its <u><em>maximum</em></u> point.
Since the value of our given quadratic equation is a = -2, then it means that its graph opens <em>downward</em>, and that the <u>vertex is its maximum point</u>.
Attached is a screenshot of the graph, where it shows the vertex occurring at point (3, 11), for which the axis of symmetry goes through at x = 3.
