Answer:
xn = n·(n + 1)/2
Step-by-step explanation:
Answer:
2300
Step-by-step explanation:
We are given that
Out of 200 , four ducks are tagged.
We have to find the number of ducks in the preserve if 46 ducks are tagged.
Let x be the number of ducks in the preserve.
If number of tagged ducks increases then number of preserved ducks also increases.It is in direct proportion.
According to question



x=2300
Answer:
( √15 + 8)/7
Step-by-step explanation:
TanA = -√15
.we are to find tan(A-π/4).
In trigonometry
Tan(A-B) = TanA - TanB/1+ tanAtanB
Hence:
tan(A-π/4) = TanA - Tanπ/4/1+ tanAtanπ/4
Substitute tan A value into the formula
tan(A-π/4) = -√15-tanπ/4 / 1+(-√15)(tanπ/4
tan(A-π/4) = -√15-1/1-√15
Rationalize
-√15-1/1-√15 × 1+√15/1+√15
= -√15-√225-1-√15/(1-√225)
= -2√15-15-1/1-15
= -2√15 -16/(-14)
= -2(√15+8)/-14
= √15 + 8/7
Hence the required value is ( √15 + 8)/7
Answer:
Option a) u is called the "error term". It is the error we make in prediction
Option d) x is called the independent variable because x is independent from y and u.
Step-by-step explanation:
We are given the following information in the question:

where y is the dependent variable, x is the independent variable.
: It is the value of y when x is zero, that is y-intercept.
: It is the coefficient of x in predicting the dependent variable y.
u is the error term.
- An error term represents the margin of error.
- It refers to the sum of the deviations within the regression line, that is the difference between the predicted value and the observed value of y.
Thus, Option A) u is the error term and Option D) x is called the independent variable because x is independent from y and u are the correct answer.