Answer:
No
It could be purely due to chance.
Step-by-step explanation:
A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.
So it is not necessary for a population to have the same characteristics as the sample.
But it is essential for the sample to have at least one same characteristics as the population.
So we would not be correct in inferring that such a relationship also exists in the population.
It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.
For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.
It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.
Which equation models the data in the table?
y = 6 sine (StartFraction pi Over 6 EndFraction x) + 2
y = 6 sine (StartFraction pi Over 6 EndFraction x) + 4
y = 4 sine (StartFraction pi Over 6 EndFraction x) + 6
y = 4 sine (StartFraction pi Over 6 EndFraction x) + 10
Modeling the data in the table is done via the equation y = 4 sine (pi/6x) + 6.
Over a period of years, a cyclical pattern recurs with considerable regularity. Cyclical patterns are distinct from seasonal patterns in that they last across a number of years as opposed to only one year for seasonal trends.
Given, The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.
Table:
12 AM 6
3 AM 10
6 AM 6
9 AM 2
12 PM 6
from the general formula of wave
y = A sin(bx + c)
Substituting values in the equation from the graph attached below:
6 = A sin(0*b + c)......(1)
10 = A sin3b + c...(2)
6 = A sin6b + c......(3)
2 = A sin9b +c........(4)
Since -c/b is a phase shift of the graph
Thus
-c/b = 6
c = -6b
from equations 2 and 1
2* 6 = Asin(-3b) = -Asin3b
2 * 6 = Asin(-6b) = -Asin6b
2* 6/6 =sin6b/sin3b
1 = Cos3b
Thus b = π/6
from substitution in equations 3
6 = A sin6b + c
=> 6 = Asin 6* pi/6 + c
=> c = 6
from substitution in equations 2
10 = A sin3b + c
A = 4
therefore, The equation that models data in the table is y = 4 sine (pi/6x) + 6.
Learn more about cyclic patterns here:
#SPJ3
Answer:
c
Step-by-step explanation:
Answer:
Var(X)=1.6
Step-by-step explanation:
Formula for calculating the coefficient of variation for a probability generating function:
Var(X)= PX''(1) + PX'(1) - [PX'(1)]² ........... eq(1)
Now compute each individual term in the above formula.
PX'(z) =
PX'(1) = = 8
[PX'(1)]² = 64
PX''(z) =
PX''(1) = = 57.6
Substitute all terms back in eq(1)
Var(X)= 57.6 + 8 - 64
Var(X)= 1.6
Answer: the answer is x=10
Answer: −2x + 20 = 0
Step-by-step explanation:
Answer:
$37.8125
Step-by-step explanation:
$2.75 x 12.5 = 34.375
34.375 x 10% = 3.4375
$34.375 + 3.4375 = 37.8125
a) What is the cost of an advertisement of 15 words for one week?
b) What is the greatest number of words in an advertisement costing up to $8 for one week?
c) If an advertisement is run for two weeks, the cost for the second week is reduced by 30%. Calculate the total cost for an advertisement of 22 words for two weeks.
Answer:
a) 495 cents
b) 25 words
c) 1174.7 cents
Step-by-step explanation:
a) The cost is equal to 28 x 15 + 75 which equals 420 + 75 which equals 495 cents.
b) (800 cents - 75) divided by 28
= 725 / 28
= 25.9
Since you cannot have 0.9 of a word it is rounded down to 25.
c) 22 words in the first week will cost 22 x 28 + 75 = 616 + 75 = 691 cents
In the second week it will cost 30% less which means it will only cost 70% of the ordinary price. Therefore the second week will cost:
0.7 x 691 = 483.7 cents
Total = 483.7 + 691
= 1174.7 cents
Hope this helps :)
Answer:
37632
Step-by-step explanation:
An=A(1+12%)²