1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Korolek [52]
2 years ago
9

Study the following data set.

Mathematics
1 answer:
Rudiy272 years ago
5 0

Answer:16.1

Step-by-step explanation:

You might be interested in
In a movie theater, the number of seats in a row is 8 greater than the total number of rows. How many rows are in the movie thea
Harman [31]

Answer:

26 rows

Step-by-step explanation:

this is like a rectangle length×width situation.

seats per row = s

number of rows = r

s × r = 884

s = r + 8

so, we can use e.g. the second equation in the first :

(r + 8) × r = 884

r² + 8r = 884

r² + 8r - 884 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = r

a = 1

b = 8

c = -884

r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =

= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =

= (-8 ± 60)/2 = -4 ± 30

r1 = -4 + 30 = 26

r2 = -4 - 30 = -34

a negative number did not make any sense for the number of rows, so r = 26 is our answer.

8 0
2 years ago
This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex
noname [10]

L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)

L_x=10+10\lambda x=0\implies1+\lambda x=0

L_y=10+10\lambda y=0\implies1+\lambda y=0

L_z=2+4\lambda z=0\implies1+2\lambda z=0

L_\lambda=5x^2+5y^2+2z^2-42=0

\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z

5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1

z^2=1\implies z=\pm1\implies x=y=\pm2

There are two critical points, at which we have

f\left(2,2,1\right)=42\text{ (a maximum value)}

f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}

3 0
3 years ago
The tables below show the values of y corresponding to different values of x: Table A x 3 3 2 y 1 0 0 Table B x 3 5 5 y −2 2 −2
andriy [413]

Answer:

is it possable you can show the graph

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help!!
eduard

Answer:

3.5m

Step-by-step explanation:

Multiply both values by 7 to find that 7in=3.5m

4 0
4 years ago
Please provide an explanation for the last three questions.
zavuch27 [327]
There is no picture attached to the question??
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is the correct Ohm's law formula?
    5·1 answer
  • Helpppppppppppppppppppppppppppppppppppppppppppppppppppppp
    10·1 answer
  • The probability of drawing a quarter from a bag of coins is 4/5. What is the probability of drawing a coin that is not a quarter
    15·1 answer
  • Rachel is bowling with her friends. her bowling ball has a radius of 4 inches. as she bowls she tracks the location of the finge
    14·1 answer
  • David’s bowling score is 5 less than 3 times Aaron’s score. The sum of their score is 215. Find the score of each student. Write
    5·1 answer
  • What is y + 1=x in slope intercept form?​
    6·1 answer
  • This figure shows 3 intersecting lines.
    15·2 answers
  • Hernando ate 2/8 of a pizza for a dinner. he gave his 6 friends the rest of the pizza, and told them to share equally. To determ
    6·2 answers
  • Which ratio forms a proportion with 5: 15?<br><br> A: 10:20<br> B: 75:5<br> C: 3:1<br> D: 1:3
    15·1 answer
  • Math Equations. Just need to finish my homework :)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!