Answer:
The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is 5/9.
Step-by-step explanation:
As given: Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.
A pair of dice has 36 possible outcomes.
The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is or
Let 'A' and 'B' be the events that the sum of the numbers rolled is a multiple of 3 and a multiple of 4 respectively.
Set for A = {(1, 2), (1, 5), (2, 1), (2, 4), (3, 3), (3, 6), (4, 2), (4, 5), (5, 1), (5, 4), (6, 3), (6, 6)}, and set for B = {(1, 3), (2, 2), (2, 6), (3, 1), (3, 5), (4, 4), (5, 3), (6, 2), (6, 6)}.
So, together they form 20 sets ((6,6) is repeating so take once)
Hence, we get 20/36=5/9
b. it produced better steel
c. it made steel cheaper
d. it allowed factory production of steel 2. which was the immediate goal of the standard oil company when it lowers its prices?
a. to sell stock to investers
b. to out complete rival businesses
c. to form a monopoly
d. to pass on lower costs to costomers?
Answer:
1. c
2. b
3. d
4. a
Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Step-by-step explanation:
Let,
Weight of one large bead = x
Weight of one small bead = y
According to given statement;
12x+8y=88 Eqn 1
5x+2y=25 Eqn 2
Multiplying Eqn 2 by 4
Subtracting Eqn 1 from Eqn 3
Dividing both sides by 8
Putting x=1.5 in Eqn 1
Dividing both sides by 8
Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Keywords: linear equation, elimination method
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Answer:
Liam must raise $116 .
Step-by-step explanation:
Formula
As given
Liam wants to buy a bicycle that costs $290.00.
His parents say Liam must raise 40% of the money himself.
Percentage = 40%
Total value = $290
Putting in the formula
Part value = $116
Therefore the Liam must raise $116 .