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Advocard [28]
2 years ago
11

Viola is putting stamps in a book. She has 1,488 stamps. Each page in the book can hold 62 stamps. How many pages will she need

for all of her stamps.
A 12
B 18
C 24
D 32
Mathematics
2 answers:
Ostrovityanka [42]2 years ago
4 0

Answer:

Answer is C. 24

Step-by-step explanation:

1488 ÷ 62 = 24

ioda2 years ago
4 0

Answer:

Yes, I agree with other person it is 24

Step-by-step explanation: 1488/62=24

So, your answer is C

༼ つ ◕_◕ ༽つ

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Step-by-step explanation

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How to simplify 2mg x 5m²k​
Damm [24]

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m(2g+5mk)

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A student weighs a sample of the shale and
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A random sample of 10161016 adults in a certain large country was asked​ "Do you pretty much think televisions are a necessity o
Korolek [52]

Answer:

0.509

Step-by-step explanation:

Given that a random sample of 1016 adults in a certain large country was asked​ "Do you pretty much think televisions are a necessity or a luxury you could do​ without?"

Of the 1016 adults​ surveyed, 517 indicated that televisions are a luxury they could do without.

To find out the point estimate of population proportion of adults in the country who believe that televisions are a luxury they could do without.

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Sample proportion = favourably voters/total people surveyed

= \frac{517}{1016} \\=0.5088\\=0.509

6 0
3 years ago
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
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