Answer:
a
Step-by-step explanation:
definitely not d
The y-intercept will be (0,51)
In case, if you want the x-intercept it will be (-51/4,0)
Answer:
8 units
Step-by-step explanation:
find the distance of the lines through coordinates given
distance formula:
i) CD=
CD=
CD=4 units
ii) DE=
DE=
DE=
DE= 2 units
iii) ED=
ED=
ED=
ED= 2 units
perimeter of polygon= 2 units+ 2 units+ 4 units
=8 units
Answer:
see explanation
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes equals - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Consider the given equations
3x - 4y = 12 ( subtract 3x from both sides )
- 4y = - 3x + 12 ( divide terms by - 4 )
y = x - 3 ← in slope- intercept form
with slope m =
3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )
y = - x + 4 ← in slope- intercept form
with slope m = -
Then
× - = - 1
Since the product of their slopes = - 1 then the lines are perpendicular
Answer:
Step-by-step explanation:
Information provided
n=100 represent the random sample taken
X=21 represent the number of bags overfilled
estimated proportion of overfilled bags
is the value that we want to test
z would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is:
(1)
And replacing the info given we got: