All categories

2 years ago

True or False? The sum of the differences is never zero for any distribution consisting of n observations.

Mathematics

2 answers:

Otrada [13]2 years ago

8 0

Answer: False.

Step-by-step explanation:

The zero-sum property of the difference between the data values and the mean says that the sum of the difference between each value of a variable $a_i$ and the mean value A is equal to zero.

Hence, the given statement "The sum of the differences is never zero for any distribution consisting of n observations." is a false statement.

Nat2105 [25]2 years ago

6 0

I think the answer is false

You might be interested in

Find the volume of a cylinder that has a diameter of 8 inches and is 20 inches tall.

Fiesta28 [93]

Answer:12063.72

Step-by-step explanation:

6 0

2 years ago

A small military base housing 1,000 troops, each of whom is susceptible to a certain virus infection. Assuming that during the c

slava [35]

Answer:

$I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}$

Step-by-step explanation:

The rate of infection is jointly proportional to the number of infected troopers and the number of non-infected ones. It can be expressed as follows:

$\frac{dI}{dt}=a*I*(1000-I)$

Rearranging and integrating

$\frac{dI}{dt}=a*I*(1000-I)\\\\\frac{dI}{I*(1000-I)}=a*dt\\\\\int\frac{dI}{I*(1000-I)}=\int a*dt\\\\-\frac{ln(1000/I-1)}{1000}+C=a*t$

At the initial breakout (t=0) there was one trooper infected (I=1)

$-\frac{ln(1000/1-1)}{1000}+C=0\\\\-0,006906755+C=0\\\\C=0,006906755$

In two days (t=2) there were 5 troopers infected

$-\frac{ln(1000/5-1)}{1000}+0,006906755=a*2\\\\-0,005293305+0,006906755=2*a\\a = 0,00161345 / 2 = 0,000806725$

Rearranging, we can model the number of infected troops (I) as

$-\frac{ln(1000/I-1)}{1000}+0,006906755=0,000806725*t\\\\-\frac{ln(1000/I-1)}{1000}=0,000806725*t-0,006906755\\-ln(1000/I-1)=0,806725*t-0.6906755\\\\\frac{1000}{I}-1=exp^{0,806725*t-0.6906755} \\\\\frac{1000}{I}=exp^{0,806725*t-0.6906755}+1\\\\I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}$

6 0

2 years ago

Find the supplement of 80º (only answer with a number, not the word degrees)

Nana76 [90]

Answer:

100°

Step-by-step explanation:

two angles are supplement .

if their sum is equal to 180°

supplement angle of 80° + x = 180°

180° - 80° = 100° answer

8 0

2 years ago

Ivanshal [37]

Im not rlly that good at math but I believe in u smart ppl

4 0

2 years ago

What is the soloution of x^2-1/x^2+5x+4<_0

JulijaS [17]

You have the following inequality given in the problem shown above:

(x^2-1)/(x^2+5x+4)≤0

1. To solve it, you must factor it and then you must make the study of the signs.

2. Once you do the proccedure mentioned above, you obtain the following solutions:

-4<x<-1

-1<x≤1

3. You can graph the inaquality given in the problem, as you can see in the figure attached.

6 0

2 years ago