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tensa zangetsu [6.8K]
3 years ago
15

A greenhouse manager knows, from experience, that the probability of a plant surviving the winter is 3/5 . If her greenhouse has

270 plants, how many plants can she expect to survive the winter?
Mathematics
2 answers:
Lina20 [59]3 years ago
6 0
162 plants, if 60% of the plants live you can set it up like this: 60/100 = X/270, to find X, you cross multiply and divide by 100
lina2011 [118]3 years ago
4 0
162
If you divide 5 by 270 you would get 54 and then multiple 54 by 3 to get 162
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beks73 [17]

Answer:

\frac{2}{5}±\frac{\sqrt{17}}{5}

Step-by-step explanation:

(5x-2)^2=17 \\ 5x-2=±\sqrt{17} \\ 5x = 2 ± \sqrt{17}   \\ x=\frac{2}{5}± \frac{\sqrt{17}}{5}

Don't mind the ±

5 0
3 years ago
Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 8exyz, (0, 0, 8
Dima020 [189]

Let f(x,y,z)=x+y+z-8e^{xyz}. The tangent plane to the surface at (0, 0, 8) is

\nabla f(0,0,8)\cdot(x,y,z-8)=0

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so the tangent plane's equation is

(1,1,1)\cdot(x,y,z-8)=0\implies x+y+(z-8)=0\implies x+y+z=8

The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by t, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

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(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)

4 0
3 years ago
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svet-max [94.6K]

Answer:

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Step-by-step explanation:

Given

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Required

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Total = Base\ Amount +Payment * Number\ of\ months

Substitute value for each term

4500 = 1200 + 300 * m

4500 = 1200 + 300m

Hence:

Option F answers the question

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Answer:

c and d

Step-by-step explanation:

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