Answer:
0.12 = 12%
Step-by-step explanation:
To find this probability, we need to multiply the probability of getting route B, and the probability of getting home by 4 P.M if we choose route B.
If the probability of choosing route A is 60%, we have that the probability of choosing route B is 100% - 60% = 40%
Then, we have that the probability of getting home by 4 P.M. when choosing route B is 30%, so the final probability is:
P = 40% * 30% = 0.4 * 0.3 = 0.12 = 12%
9514 1404 393
Answer:
240 ft by 480 ft
Step-by-step explanation:
Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.
The fenced field dimensions are 240 feet by 480 feet.
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You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.
The total area is the product of these dimensions:
A = x(960 -x)/2
We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.
The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.
The area of the Rhombus is 162√3 sq.unit , Option A is the correct answer.
<h3>What is a Rhombus ?</h3>
A rhombus is a polygon , which has four equal sides , its diagonal bisect each other at 90 degree.
Let x be the half of the other diagonal.
tan 60 = x / 9
x = 9 tan 60
x = 9√3
Area of the Rhombus = (d1 * d2 /2 )
d1 and d2 are the length of the diagonal.
Area of the Rhombus = (9*2)(2 *9√3)/2
Area of the Rhombus =162√3 sq.unit
To know more about Rhombus
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Answer:
See below ~
Step-by-step explanation:
Based on the graph,
- <u>f(-3)</u>
2. <u>f(4)</u>
3. <u>x when f(x) = 5</u>
4. <u>x when f(x) = -3</u>
