Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is

Answers

Answer 1
Answer:

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 20/36 or 5/9

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

Answer 2
Answer: the multipules of 3 or 4 are 3,4,6
3 out of 6
1/2

probablity is 0.5

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Answers

Which was the most important effect of the bessemer process 

d. it allowed factory production of steel

2. which was the immediate goal of the standard oil company when it lowers its prices? 

b. to out complete rival businesses 

Answer:

1. c

2. b

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4. a

Blank divided by 9 equals 6

Answers

54 divided by 9 equals 6.
well to get the answer do 9 x 6 which is 54 so your answer would be 54

A necklace has and matching bracelet have two types of beads. The necklace has 12 large beads and 8 small beads and weighs 88 grams. The bracelet has 5 large beads and 2 small beads and weighs 25 grams. Write and solve a system of equations to find the weight of a large bead and weight of a small bead.

Answers

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

4(5x+2y=25)\n20x+8y=100\ \ \ Eqn\ 3\n

Subtracting Eqn 1 from Eqn 3

(20x+8y)-(12x+8y)=100-88\n20x+8y-12x-8y=12\n8x=12

Dividing both sides by 8

(8x)/(8)=(12)/(8)\nx=1.5

Putting x=1.5 in Eqn 1

12(1.5)+8y=88\n18+8y=88\n8y=88-18\n8y=70

Dividing both sides by 8

(8y)/(8)=(70)/(8)\ny=8.75

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

Liam wants to buy a bicycle that costs $290.00. His parents say Liam must raise 40% of the money himself. How much money must Liam raise?

Answers

Answer:

Liam must raise $116 .

Step-by-step explanation:

Formula

Percentage = (Part\ value* 100)/(Total\ value)

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

40 = (Part\ value* 100)/(290)

Part\ value = (40* 290)/(100)

Part\ value = (11600)/(100)

Part value = $116

Therefore the Liam must raise $116 .


40/100 * $290.00 is $116.00

Two sides of a triangle have lengths 10 and 15 what must be true about length of the third side

Answers

x - length of the 3rd side
10+15>x \wedge 10+x>15 \wedge 15+x>10\n x<25 \wedge x>5 \wedge x>-5\n x\in(5,25)

Help photo question. Mathematics. :D

Answers

m = 4
n = 1

If you substitute in your values, you can see that 4 + 1 = 5
And 4 - 1 = 3
Hope this helped :)