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docker41 [41]
3 years ago
10

Which of these is most likely a pair of independent variables? a person’s income and savings the price of steel and the price of

a car the price of vegetables and the price of vegetable soup the price of a cell phone and the price of a penthouse
Mathematics
2 answers:
mixer [17]3 years ago
4 0

Answer:  Fourth option is correct.

Step-by-step explanation:

Independent variables are those variables in which two events are occurred irrespective of one another.

The occurrence of one event does not affect the another event.

According to options :

a person’s income and savings is dependent variables because savings of any individual is completely dependent upon his income.

Price of a car is dependent upon the price of steel which it is made up of.

Price of vegetable soup is dependent upon the price of vegetables.

Price of cell phone is not dependent upon the price of a penthouse.

So, they are independent variables.

Hence, Fourth option is correct.

Vikki [24]3 years ago
3 0
Independent variables are things that can stand alone. Which set of these variables does not rely on each other?  For example the income and savings. I want 1,000,000 in my savings account, however my income is not nearly that high since I only make 19,000. Look at the other pairs and see if there is a correlation between them. 
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Use Lagrange multipliers to find the maximum and minimum values of (i) f(x,y)-81x^2+y^2 subject to the constraint 4x^2+y^2=9. (i
sp2606 [1]

i. The Lagrangian is

L(x,y,\lambda)=81x^2+y^2+\lambda(4x^2+y^2-9)

with critical points whenever

L_x=162x+8\lambda x=0\implies2x(81+4\lambda)=0\implies x=0\text{ or }\lambda=-\dfrac{81}4

L_y=2y+2\lambda y=0\implies2y(1+\lambda)=0\implies y=0\text{ or }\lambda=-1

L_\lambda=4x^2+y^2-9=0

  • If x=0, then L_\lambda=0\implies y=\pm3.
  • If y=0, then L_\lambda=0\implies x=\pm\dfrac32.
  • Either value of \lambda found above requires that either x=0 or y=0, so we get the same critical points as in the previous two cases.

We have f(0,-3)=9, f(0,3)=9, f\left(-\dfrac32,0\right)=\dfrac{729}4=182.25, and f\left(\dfrac32,0\right)=\dfrac{729}4, so f has a minimum value of 9 and a maximum value of 182.25.

ii. The Lagrangian is

L(x,y,z,\lambda)=y^2-10z+\lambda(x^2+y^2+z^2-36)

with critical points whenever

L_x=2\lambda x=0\implies x=0 (because we assume \lambda\neq0)

L_y=2y+2\lambda y=0\implies 2y(1+\lambda)=0\implies y=0\text{ or }\lambda=-1

L_z=-10+2\lambda z=0\implies z=\dfrac5\lambda

L_\lambda=x^2+y^2+z^2-36=0

  • If x=y=0, then L_\lambda=0\implies z=\pm6.
  • If \lambda=-1, then z=-5, and with x=0 we have L_\lambda=0\implies y=\pm\sqrt{11}.

We have f(0,0,-6)=60, f(0,0,6)=-60, f(0,-\sqrt{11},-5)=61, and f(0,\sqrt{11},-5)=61. So f has a maximum value of 61 and a minimum value of -60.

5 0
3 years ago
Help please!!!!!!!!!!!!!!!!!!!
ivolga24 [154]
I think the answer is
1) 3/2
5 0
3 years ago
Is 19.1 the same as 191
laiz [17]

Answer:

no

Step-by-step explanation:

6 0
3 years ago
I WILL GIVE BRAINLIETS IF THESE ARE ALL RIGHT
Nikolay [14]

Answer:

56,250

Step-by-step explanation:

First e turn the persentage into a decimal so we can multiply the 45,000 by it

45,000 x 0.25 = 11,250

Now we ad the total from last month to the amount we got in the last step to figure out how much the company earned this month

11,250 + 45,000 = 56,250

The company earned 56,250 this month :)

Hope this helped!

Have a good day!

Please rate and mark brainliest!!

7 0
2 years ago
From 95f to 64f percent decrease round to the nearest percent
attashe74 [19]

Answer:

3.26% decrease

Step-by-step explanation:

5 0
3 years ago
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