Assume that each of the 6 numbers has an equal probability of showing up for each die.
The probability of obtaining a six from the red die is 1/6, or
P(6 from the red die) = 1/6.
Similarly,
P(6 from the green die) = 1/6.
The tossing of the red die, followed by the tossing of the green die are independent events. Therefore
P(6 from the red die AND 6 from the green die) = (1/6)*(1/6) = 1/36.
Answer: 1/36
Answer:
Length: 5 ft; width: 4 ft.
Step-by-step explanation:
A = LW formula for area of rectangle
(2x + 1)(2x) = 20 substitute length, width, and area into formula
4x² + 2x - 20 = 0 use the distributive property to multiply out left side
2x² + x - 10 = 0 divide both sides of equation by 2
(2x + 5)(x - 2) = 0 factor out trinomial
2x + 5 = 0 or x - 2 = 0 use zero product rule to solve for x
2x = -5 or x = 2 subtract 5 from both sides; add 2 to both sides
x = -5/2 or x = 2
We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.
Length: 2x + 1 = 2(2) + 1 = 5
Width: 2x = 2(2) = 4
Length: 5 ft; width: 4 ft.
Answer:
Total charge
=
$
4.25
+
$
1.50
(
m
−
1
)
Total charge for 12 miles
=
$
20.75
Explanation:
Building the rule
The trick with algebra is to think what you would do with numbers, then substitute letters.
Mile number 1 costs
$
4.25
The rest of the miles
⇒
(
total miles
−
1
)
×
$
1.50
Putting this all together we have:
$
4.25
+
(
total miles
−
1
)
×
$
1.50
The question instructs that we are to use the letter m for the total miles so we now have:
$
4.25
+
(
m
−
1
)
×
$
1.50
This would be written as:
$
4.25
+
$
1.50
(
m
−
1
)
So
Total charge
=
$
4.25
+
$
1.50
(
m
−
1
)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Determine the charge for 12 miles
Total charge
=
$
4.25
+
$
1.50
(
12
−
1
)
Total charge
=
$
4.25
+
$
1.50
(
11
)
Total charge for 12 miles
=
$
4.25
+
$
16.50
=
$
20.75
Hope this helps you...
:)
