M= 5/7
explanation: Slope is equal to the change in
y
y
over the change in
x
x
, or rise over run.
m
=
change in y
change in x
m
=
change in y
change in x
The change in
x
x
is equal to the difference in x-coordinates (also called run), and the change in
y
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
m
=
y
2
-
y
1
x
2
-
x
1
Substitute in the values of
x
x
and
y
y
into the equation to find the slope.
m
=
3
−
(
−
2
)
9
−
(
2
)
m
=
3
-
(
-
2
)
9
-
(
2
)
Simplify.
m
=
5
9
−
(
2
)
m
=
5
9
-
(
2
)
Simplify the denominator.
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m
=
5
7
Answer:
5 options : 2 correct options
: 3 wrong options
first answer : 2/5
second answer : 1/5-1
: 1/4
p( choosing correct answer)
= 2/5 × 1/4
= 1/10
X(2x²-9x+10)=x(2x-5)(x-2)=0.
x=0 is one solution.
2x-5=0 and x-2=0 give us the solutions x=5/2 and x=2.
So x=0, 2 or 5/2.
Answer: The interval is 0.9 ± 0.0259 and margin of error is 0.0259
Step-by-step explanation: <em>Confidence interval for a proportion in one sample</em> is the estimate of the proportion of a population. It is calculated following the next steps:
1) Find the proportion 
, in which x is the number of people with the desired condition. In our case, p=0.9;
2) Calculate margin of error, i.e.:
z is z-score, which for a 95% confidence, equals 1.96;
Substituting with the data given:
= 0.0259
3) Write: p ±
In our case, the interval will be 0.9 ± 0.0259.
<u><em>Margin</em></u><em> </em><u><em>of</em></u><em> </em><u><em>error</em></u> is the random sampling error in the results of a survey, i.e.,it shows you how far your result will be from the real value. For the Harris poll, margin of error is 0.0259
12 X 3 = 36ft of the area that Carlos will laminate
