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frez [133]
2 years ago
15

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
lesantik [10]2 years ago
7 0

Answer: The sample mean is 14.98

The second one is NOT standard deviation

Step-by-step explanation: Sorry thats all i got but good luck!

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The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i
madam [21]

You're looking for the extreme values of T(x,y,z)=3x+6y-6z+1 subject to x^2+y^2+z^2=9. The Lagrangian is

L(x,y,z,\lambda)=3x+6y-6z+1+\lambda(x^2+y^2+z^2-9)

with critical wherever the partial derivatives vanish:

L_x=3+2\lambda x=0\implies x=-\dfrac3{2\lambda}

L_y=6+2\lambda y=0\implies y=-\dfrac3\lambda

L_z=-6+2\lambda z=0\implies z=\dfrac3\lambda

L_\lambda=x^2+y^2+z^2-9=0

Substituting the first three solutions into the last equation gives

\dfrac9{4\lambda^2}+\dfrac9{\lambda^2}+\dfrac9{\lambda^2}=9

\implies\lambda=\pm\dfrac32

\implies x=1,y=2,z=-2\text{ or }x=-1,y=-2,z=2

At these points, we have

T(1,2,-2)=28

T(-1,-2,2)=-26

so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).

6 0
3 years ago
Use the distributive property to create an equivalent expression of
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<span><span>9<span>(6j+2+j)</span></span><span>9<span>(6j+2+j)</span></span></span>Add <span><span>6j</span><span>6j</span></span> and <span>jj</span> to get <span><span>7j</span><span>7j</span></span>.<span><span>9<span>(7j+2)</span></span><span>9<span>(7j+2)</span></span></span>Apply the distributive property.<span><span>9<span>(7j)</span>+9⋅2</span><span>9<span>(7j)</span>+9⋅2</span></span>Multiply <span>77</span> by <span>99</span> to get <span>6363</span>.<span><span>63j+9⋅2</span><span>63j+9⋅2</span></span>Multiply <span>99</span> by <span>22</span> to get <span>1818</span>.<span>63j+<span>18</span></span>
6 0
3 years ago
Screenshot of the math question below
liubo4ka [24]

Answer:

1 hour and 25 minutes

Step-by-step explanation:

There is a 2 1/2 grid unit separation. If each grid unit represents 20 miles, there is a 50 mile separation. 50/40=1.25. It will take a truck driving at 40 miles per hour 1 hour and 25 minutes to drive from warehouse N to this store.

3 0
3 years ago
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Fernando has gathered details about his finances to create a financial assets and liabilities record. Which represents one of hi
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His college savings account has a balance of $13,700.</span>
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3 years ago
Of video game that originally cost $25.99 is on sale for 50% off if you have $14 would you have enough money to buy the video ga
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Just round 25.99 to 26 and divide it by two. This gives you 13, which is less than 14.. You would be able to buy the video game.
3 0
3 years ago
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