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slamgirl [31]
3 years ago
7

1

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

Answer:

Step-by-step explanation:

investment

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What is the Interquartile Range (IQR) of the pumpkin weights? <br> a) 10<br> b) 4<br> c) 15<br> d) 8
Alborosie
I think the answer will be c
3 0
2 years ago
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Plss help with mathh &gt;,
pickupchik [31]

Answer:

c:

Step-by-step explanation:

3 I think is tree :) 3::::::::D

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3 years ago
Find the minimum and maximum of f(x,y,z)=x^2+y^2+z^2 subject to two constraints, x+2y+z=4 and x-y=8.
Alika [10]
The Lagrangian for this function and the given constraints is

L(x,y,z,\lambda_1,\lambda_2)=x^2+y^2+z^2+\lambda_1(x+2y+z-4)+\lambda_2(x-y-8)

which has partial derivatives (set equal to 0) satisfying

\begin{cases}L_x=2x+\lambda_1+\lambda_2=0\\L_y=2y+2\lambda_1-\lambda_2=0\\L_z=2z+\lambda_1=0\\L_{\lambda_1}=x+2y+z-4=0\\L_{\lambda_2}=x-y-8=0\end{cases}

This is a fairly standard linear system. Solving yields Lagrange multipliers of \lambda_1=-\dfrac{32}{11} and \lambda_2=-\dfrac{104}{11}, and at the same time we find only one critical point at (x,y,z)=\left(\dfrac{68}{11},-\dfrac{20}{11},\dfrac{16}{11}\right).

Check the Hessian for f(x,y,z), given by

\mathbf H(x,y,z)=\begin{bmatrix}f_{xx}&f_{xy}&f_{xz}\\f_{yx}&f_{yy}&f_{yz}\\f_{zx}&f_{zy}&f_{zz}\end{bmatrix}=\begin{bmatrix}=\begin{bmatrix}2&0&0\\0&2&0\\0&0&2\end{bmatrix}

\mathbf H is positive definite, since \mathbf v^\top\mathbf{Hv}>0 for any vector \mathbf v=\begin{bmatrix}x&y&z\end{bmatrix}^\top, which means f(x,y,z)=x^2+y^2+z^2 attains a minimum value of \dfrac{480}{11} at \left(\dfrac{68}{11},-\dfrac{20}{11},\dfrac{16}{11}\right). There is no maximum over the given constraints.
7 0
3 years ago
Dennis has 9.5 weeks to prepare for a bike tour If he rides 8.2 miles each week how many miles will he ride before the bike tour
emmasim [6.3K]
If you have to show your work...

8.2 x 9.5 

    8.2
 x 9.5
-----------
     410
+ 7380
-----------
   7,790 miles

hoped this helped.
6 0
3 years ago
If a fair coin is tossed, the probability that it will land heads up is ½. Olivia tosses a coin 4 times, and it lands on heads 4
disa [49]

Answer:

C

Step-by-step explanation:

The tosses before that were all by chance, the probability is still the same. Nothing changes.

6 0
3 years ago
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