Answer:
The equation of the line is 2 x - y + 5 = 0.
Step-by-step explanation:
Here the given points are A( 1, 7) & B( -3, - 1) -
Equation of a line whose points are given such that
(
) & (
)-
y -
=
( x -
)
i.e. <em> y - 7=
( x- 1)</em>
<em> y - 7 =
( x -1)</em>
<em> y - 7 = 2 ( x - 1) </em>
<em> y - 7 = 2 x - 2</em>
<em> 2 x - y + 5 = 0</em>
Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1) is 2 x - y + 5 = 0.
Answer:
0.024
Step-by-step explanation:
Sample size (n) = 146 people
The proportion (p) of people who answered that they would be interested in seeing the show again is:

The standard error for a sample of size 'n' and proportion 'p' is:

The standard error for the sample proportion of audience members who want to see the show again is 0.024.
Answer:
A. 5
Step-by-step explanation:
The marginal benefit of an article,
is calculated as:

Where
is the change in the total benefit of the article, and
is the change in the units of the article.
If we want to know the marginal benefit of watching the 3rd game, we need to use the information of total benefit of watching 2 games and 3 games.
In this case, the total benefit of watching 2 games is 120 and the total benefit of watching 3 games is 125, so
and
are equal to:


Then, the marginal benefit of watching the third game is:

Answer:
f(x)=11+7√x
f'(x)=7/(2x^(1/2))
putting x=1
f'(1) = 7/(2×1^(1/2))
= 7/2 = 3.5
putting x=2
f'(2) = 7/(2×2^(1/2))
= 7/(2×√2)
= 7√2/4
= 2.47 (rounded to the nearest hundredth)
f'(3) = 7/(2×3^(1/2))
= 7/(2×√3)
= 7√3/6
= 2.02 (rounded to the nearest hundredth)