answer.
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
Viktor [21]
1 year ago
5

production for five people was as follows: 8 units, 11 units, 6 units, 12 units, 8 units. what was their average production in u

nits?
Mathematics
2 answers:
shutvik [7]1 year ago
5 0

Answer: 9 units.

Step-by-step explanation: To calculate the average production units, we need to calculate the sum of all the production units, and divide it by the number of people working in those units:

A=average

PU=production units

A=\frac{PU1+PU2+PU3+PU4+PU5}{5}

A=\frac{8+11+6+12+8}{5}

A=\frac{45}{5}

A=9 units

zlopas [31]1 year ago
4 0
Add all the units together 8+11+6+8=45
then divide by the the number of units there are which is 5 so 45÷5 =9
You might be interested in
Let X, Y, and Z be random variables, and let Cov(⋅,⋅) denote the covariance operator as usual. Suppose that the variance of X is
bearhunter [10]

By definition of covariance,

Cov[X, Y] = E[(X - E[X]) (Y - E[Y])] = E[XY] - E[X] E[Y]

from which it follows that

Cov[X, X] = E[X^2] - E[X]^2 = V[X]

a. I assume T is supposed to be some scalar factor. I'll use a general scalar k and let you fill in the details for yourself.

Cov[kY, 7X] = E[7k XY] - E[kY] E[7X] = 7k(E[XY] - E[X] E[Y])

= 7k Cov[X, Y]

and plug in 0.4 for Cov[X, Y].

b.

Cov[7X + 6, Z] = E[(7X + 6) Z] - E[7X + 6] E[Z]

= 7 E[XZ] + 6 E[Z] - 7 E[X] E[Z] - 6 E[Z]

= 7 (E[XZ] - E[X] E[Z]) = 7 Cov[X, Z]

= 8.4

c.

Cov[7Y, 7X + 7Z] = E[7Y (7X + 7Z)] - E[7Y] E[7X + 7Z]

= 49 E[XY + YZ] - 49 E[Y] E[X + Z]

= 49 (E[XY] + E[YZ] - E[Y] E[X] - E[Y] E[Z])

= 49 (Cov[X, Y] + Cov[Y, Z])

= 58.8

d.

Cov[7X + 6Y, 7X + 7Z] = E[(7X + 6Y) (7X + 7Z)] - E[7X + 6Y] E[7X + 7Z]

= E[49 X^2 + 49 XZ + 42 XY + 42 YZ] - (49 E[X]^2 + 49 E[X] E[Z] + 42 E[X] E[Y] + 42 E[Y] E[Z])

= 49 (V[X] + Cov[X, Z]) + 42 (Cov[X, Y] + Cov[Y, Z])

= 143.5

6 0
1 year ago
A cruise ship travels 310 miles due east before turning 20 degrees north of east. it travels 150 miles its new course. how far i
Elina [12.6K]
D^2=x^2+y^2

d^2=(310+150cos20)^2+(150sin20)^2

d^2=205991.41373309

d=453.86mi

So C. to the nearest mile.
3 0
1 year ago
Read 2 more answers
A square pyramid has sides of 8 m. Each face is an equilateral triangle. What is the lateral area of the pyramid?
tia_tia [17]

Answer:

The lateral area is equal to

LA=64\sqrt{3}\ m^{2}

Step-by-step explanation:

In this problem the lateral area is equal to the area of one equilateral triangle multiplied by 4

To find the area of one equilateral triangle calculate the height

The area of the triangle is equal to

A=\frac{1}{2}bh

we have

b=8\ m

Applying the Pythagoras theorem

h^{2}=8^{2} -4^{2} \\h^{2}=64-16\\ h=\sqrt{48} \\ h=4\sqrt{3}\ m

The area of one triangle is equal to

A=\frac{1}{2}(8)(4\sqrt{3})\ m^{2}

so

The lateral area is equal to

LA=4\frac{1}{2}(8)(4\sqrt{3})=64\sqrt{3}\ m^{2}

3 0
1 year ago
x^2+1/2x+1/16=4/9 Factor the perfect-square trinomial on the left side of the equation. (x + )² = 4/9
Nezavi [6.7K]
The missing number is the square-root of the constant term on the left-hand-side, which equals sqrt(1/16)=1/sqrt(16)=1/4.
Check:
(x+1/4)^2=x^2+2*(1/4)x+(1/4)^2=x^2+x/2+1/16.   ok

Answer: x= 1/4
5 0
1 year ago
Read 2 more answers
What is the midpoint of the segment shown below?<br> (-12,-3) (3,-8)
shepuryov [24]

Answer:

D

Step-by-step explanation:

In order to find the midpoint of a line segment on a graph, you must add both "x" coordinates, then divide by 2.

Then, add both "y" coordinates, and divide by 2.

5 0
1 year ago
Other questions:
  • A survey of one class at Pioneer Middle School found that 20 out of 30 students would spend $12 for a school t-shirt Suppose the
    12·2 answers
  • The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line,
    15·1 answer
  • Explain what the word function implies in the sentence: The distance Annette traveled was a function of speed and the amount of
    13·2 answers
  • Sam has $1,000 to be distributed among two groups equally. Later the first part is divided among five children and second part i
    5·1 answer
  • A desert has both fruit and yoghurt inside.Altogether the mass of the fruit and yoghurt is 175g. The ratio of the mass of fruit
    12·1 answer
  • What is the greatest common factor of 42a^5b^3, 35a^3b^4 and 42ab^4
    14·1 answer
  • Shelly states that the triangles below are similar. Which proportion supports her statement? Triangle S T R. Side S T is 6, T R
    14·2 answers
  • 1. A sample consists of 75 TV sets purchased several years ago. The replacement times of those TV sets have a mean of 8.2 years.
    14·1 answer
  • Consider the numbers z = StartRoot 2 EndRoot (cos 45o + i sin 45o )and w = 2(cos 90o + i sin 90o).
    13·2 answers
  • In a fruit cocktail, for every 18 ml of orange juice you need 3 ml of apple juice and 54 ml of coconut milk. What is the ratio o
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!