Step: Solve
2
x
+
y
=
3
for y:
2
x
+
y
=
3
2
x
+
y
+
−
2
x
=
3
+
−
2
x
(Add -2x to both sides)
y
=
−
2
x
+
3
Step: Substitute
−
2
x
+
3
for
y
in
4
x
+
3
y
=
1
:
4
x
+
3
y
=
1
4
x
+
3
(
−
2
x
+
3
)
=
1
−
2
x
+
9
=
1
(Simplify both sides of the equation)
−
2
x
+
9
+
−
9
=
1
+
−
9
(Add -9 to both sides)
−
2
x
=
−
8
−
2
x
−
2
=
−
8
−
2
(Divide both sides by -2)
x
=
4
Step: Substitute
4
for
x
in
y
=
−
2
x
+
3
:
y
=
−
2
x
+
3
y
=
(
−
2
)
(
4
)
+
3
y
=
−
5
(Simplify both sides of the equation)
Answer:
x
=
4
and
y
=
−
5
Well lets look here at something.
Tenths are the greatest compared to hundredths or thousandths.
So if that is the case We can tell that 3.008 is the least since it only has one value on the end in the thousandths place (all are 3.??? which is why this stays true)
Tenths place > 0.000 (The First 0)
Hundredths place > 0.000 (Second 0)
Thousandths place > 0.000 (Third 0)
Look for the greater values in all of these. Remember tenths is greater than hundredths and hundredths to thousandths.
So we can order it properly > 3.825, 3.18, 3.09, 3.008
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Here is the two-way table and the marginal frequencies in bracket:
Like hamburger do not like hamburger Total
Like hot dog 46(0.16) 54 (0.10) 100(0.36)
Do not like hot dog 83(0.30) 95 (0.34) 178(0.64)
Total 129 (0.46) 149 (0.54) 278(1)
<h3>What is the two-way table?</h3>
Number of people who like hamburger but do not like hot dog = 129 - 46 = 83
Number of people who do not like hamburger and do not like hot dog = 149 - 54 = 95
Total number of people who like hot dog = 46 + 54 = 100
Total number of people who do not like hot dog = 83 + 95 = 178
Total = 100 + 178 = 278
The marginal frequency can be determined by dividing each number by the total number of people in the survey.
- marginal frequency of people who like hot dog = 100 / 278 = 0.36
- marginal frequency of people who do not like hot dog = 178 / 278 = 0.64
To learn more about two way frequency tables, please check: brainly.com/question/27344444
#SPJ1
Answer:
An even number: 1/2, A multiple of 3: 1/4, A multiple of 4: 1/4, Not a multiple of 4: 3/4, Less then 4: 3/8
Step-by-step explanation:
Since there are eight faces all you have to do is take the number that answers the question and put it over eight.
