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
Gala2k [10]
2 years ago
12

Find the mean for the data items

Mathematics
1 answer:
schepotkina [342]2 years ago
3 0

Answer:

4.5

Step-by-step explanation:

Given the data :

Score, x ____: 1, 2, 3, 4, 5, 6, 7, 8

Frequency, F : 1, 5, 1, 4, 4, 1, 5, 1

This is a grouped data: The mean of a grouped data is given as :

Mean (xbar) = ΣFx / ΣF

ΣFx = (1*1)+(2*5)+(3*1)+(4*4)+(5*4)+(6*1)+(7*5)+(8*1) = 99

ΣF = (1+5+1+4+4+1+5+1) = 22

Mean (xbar) = ΣFx / ΣF = 99 / 22 = 4.5

You might be interested in
N-(-7)= 12 how do you rewrite
DiKsa [7]

Answer:

N + 7 = 12

Step-by-step explanation:

When you have a number minus a negative number, it's the same as addition.

4 0
2 years ago
Read 2 more answers
What is the value of 32 tens
trapecia [35]
320 has the same value as 32 tens
3 0
3 years ago
Read 2 more answers
Ricardo is building a new garden and is buying soil to fill it up. he buys 4 kilograms of soil for $10.00.
likoan [24]

Answer:

math duh

Step-by-step explanation:

:]

5 0
2 years ago
Read 2 more answers
A company manufactures running shoes and basketball shoes. The total revenue (in thousands of dollars) from x1 units of running
Alborosie

Answer:

x_1 =2 , x_2=7

Step-by-step explanation:

Consider the revenue function given by R(x_1,x_2) = -5x_1^2-8x_2^2 -2x_1x_2+34x_1+116x_2. We want to find the values of each of the variables such that the gradient( i.e the first partial derivatives of the function) is 0. Then, we have the following (the explicit calculations of both derivatives are omitted).

\frac{dR}{dx_1} = -10x_1-2x_2+34 =0

\frac{dR}{dx_2} = -16x_2-2x_1+116 =0

From the first equation, we get, x_2 = \frac{-10x_1+34}{2}.If we replace that in the second equation, we get

-16\frac{-10x_1+34}{2} -2x_1+116=0= 80x_1-2x_1+116-272= 78x_1-156

From where we get that x_1 = \frac{156}{78}=2. If we replace that in the first equation, we get

x_2 = \frac{-10\cdot 2 +34}{2}=\frac{14}{2} = 7

So, the critical point is (x_1,x_2) = (2,7). We must check that it is a maximum. To do so, we will use the Hessian criteria. To do so, we must calculate the second derivatives and the crossed derivatives  and check if the criteria is fulfilled in order for it to be a maximum. We get that

\frac{d^2R}{dx_1dx_2}= -2 = \frac{d^2R}{dx_2dx_1}

\frac{d^2R}{dx_{1}^2}=-10, \frac{d^2R}{dx_{2}^2}=-16

We have the following matrix,  

\left[\begin{matrix} -10 & -2 \\ -2 & -16\end{matrix}\right].

Recall that the Hessian criteria says that, for the point to be a maximum, the determinant of the whole matrix should be positive and the element of the matrix that is in the upper left corner should be negative. Note that the determinant of the matrix is (-10)\cdot (-16) - (-2)(-2) = 156>0 and that -10<0. Hence, the criteria is fulfilled and the critical point is a maximum

8 0
3 years ago
Read 2 more answers
Consider parallelogram ABCD. Choose all of the statements which must be true
Crazy boy [7]

The answers are 1, 2, and 4. Look at the parallelogram's angles to be sure.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Segment LM is the mid-segment of trapezoid a b c d. Ab = 38 and cd = 78. what is lm?
    7·1 answer
  • A theater received $8,917 in ticket sales for one performance of a play. Tickets for preferred seats cost $45 each and regular s
    8·2 answers
  • Help me, answer if you know also pls don’t waste my points
    8·2 answers
  • Given the binomials (x − 3), (x − 1), (x + 2), and (x + 3), which one is a factor of f(x) = 2x3 + 3x2 − 2x − 3?
    5·1 answer
  • The high school took two field trips to the Newport Aquarium many many years ago. They used school buses and vans to transport a
    5·1 answer
  • A van travels 150 miles on 6 gallons of gas. How many gallons will it need to travel 325 miles?
    7·2 answers
  • I have this question that i dont get plz help-2|2.2x-3.3|=-6.6
    6·2 answers
  • Rationalizing factor of 3-√5​
    12·1 answer
  • Many gas stations give a discount for paying with cash instead of a credit card. William’s local gas station gives a discount of
    11·1 answer
  • Find the area of the figure.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!