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
nasty-shy [4]
2 years ago
10

A population of small bottles and their contents has the following weights (in grams): 4, 2, 5, 4, 5, 2, and 6. What is the vari

ance of bottle weight?
A. 6.92.
B. 4.80.
C. 1.96.
D. 2.33.
Mathematics
1 answer:
Ahat [919]2 years ago
4 0

Answer:

D. 2.33.

Step-by-step explanation:

Given;

the weight distribution of the bottles = 4, 2, 5, 4, 5, 2, and 6

sum of the weights = 28

the mean (x) = 28/7

                 x = 4

the sum of square of the mean deviation is calculated as:

= (4 - 4)² + (2 - 4)² + (5 - 4)² + (4 - 4)² + (5 - 4)² + (2 - 4)² + (6 - 4)²

= 0 + 4 + 1 + 0 + 1  + 4 + 4

= 14

the \ variance \ is \ calculated \ as:\\\\\sigma ^2 = \frac{\sum (x-\bar x)^2}{n-1} \\\\\sigma ^2 = \frac{14}{7-1} = \frac{14}{6} = 2.33

Therefore, the correct answer is D

You might be interested in
Which represents all the values of x that make the rational expression undefined? x = –3 x = 7 x = –7 or x = 7 x = –3 or x = 3
mars1129 [50]

Answer:

The value of x would be -3.

Step-by-step explanation:

Consider the complete question is,

'Which represents all the values of x that make the rational expression \frac{-6x + 42}{3x + 9} undefined?'

Since, the rational expression is defined for all real values except those for which denominator is equal to zero,

If 3x + 9 = 0,

3x = -9

\implies x =-\frac{9}{3}=-3

Hence the values of x that make the rational expression undefined would be -3.

8 0
3 years ago
Need help with this math question
dolphi86 [110]

Answer:

x = 16

Step-by-step explanation:

From the first statement, we can say that:

Angle A is equal to angle D,

Angle B is equal to and E.

Since measure of Angle B and E are given and they are equal, we equate them and solve for x.

B=E\\x+15=6x-65\\15+65=6x-x\\80=5x\\x=\frac{80}{5}\\x=16

Hence x = 16

4 0
3 years ago
W sklepie spożywczym jest 11,73 kg cukierków czekoladowych. Pierwszy klient kupił 48 dag cukierków. Drugi klient kupił 4/5 pozos
Elenna [48]

Answer:

<h2>The last costumers got 2.25 kilograms of chocolate candies.</h2>

Step-by-step explanation:

The question is

<em> There is 11.73 kg of chocolate candies in the grocery store. The first customer bought 48 dag of candies. A second customer bought 4/5 of the remaining quantity. The last three customers bought the same amount of candy. How much chocolate did the last customers get?</em>

<em />

Givens

  • The total amount of chocolate candies is 11.73 kilograms.
  • First costumer bought 48 dag of candies. (1 kg equals 100 dags)
  • Second costumer bougth 4/5 of the remaining.
  • Another three costumers bought the same amount of candy.

Let's transform 48 dag to kilograms.

48dag \times \frac{1kg}{100dag}= 0.48 \ kg

Therefore, the first costumer bought 0.48 kilograms of candies.

The remaining amount is: 11.73kg-0.48kg=11.25kg

Now, we need to multiply the remaining amount of candies with 4/5

\frac{4}{5} \times 11.25kg=9 \ kg

Therefore, the second costumer bought 9 kilograms of chocolate candies.

At last, we need to find the new remaining part of candies, which is

11.25-9=2.25 \ kg

Therefore, the last costumers got 2.25 kilograms of chocolate candies.

4 0
3 years ago
Solve by Elimination
Leona [35]
1) (3,4), 2) (1,9), 3) (4,4)
3 0
3 years ago
Read 2 more answers
Point Eis on line segment DF. Given DE = 8 and EF= 2, determine the length<br> DF.
julia-pushkina [17]

Step-by-step explanation:

if that's what you mean

6 0
3 years ago
Other questions:
  • Gabe put 100% of the money he earned mowing lawns into a savings account. write a decimal number that is equivalent to 100%.
    6·1 answer
  • What’s the answer? I really need help!!!
    7·1 answer
  • The figure shows a carpeted room. How many square feet of the room are carpeted?
    13·2 answers
  • 5(x+2)=⅗ (5+10x) <br> how do i solve
    5·1 answer
  • Are you refrigerator is priced at $1525.50 is an 8% sales tax rate what is the sales tax in dollars and cents for the refrigerat
    11·1 answer
  • Please answer one of these questions
    8·1 answer
  • A 3-pack of ice cream bars costs $1.59. What is the unit price?
    12·1 answer
  • In the children’s game Don’t Break the Ice, small plastic ice cubes are squeezed into a square frame. Each child takes a turn ta
    14·1 answer
  • Guess a number from 1-10 for 100 points!
    11·1 answer
  • 3x + 2 &gt; 29 is x &gt; 9 right? or is it x &gt; 27? please help
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!