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alex41 [277]
3 years ago
7

An experiment consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be >3

Mathematics
1 answer:
liraira [26]3 years ago
3 0

Answer:   \bold{\dfrac{5}{12}}

<u>Step-by-step explanation:</u>

greater than 3 means the sum is either 4, 5, or 6.

There are 15 permutations that meet the criteria:

(1, 3), (1, 4), (1, 5), (1,6)

(2, 2), (2, 3), (2, 4), (2, 5), (2,6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3,6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4,6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)

There are 6²= 36 total permutations for 2 dice.

Probability=\dfrac{\#\ of\ permutations> 3}{total\ \#\ of\ permutations}\\\\.\qquad \qquad =\dfrac{15}{36}\\\\.\qquad \qquad =\dfrac{5}{12}\\\\

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A flagpole casts a shadow that is 12 ft long. A 6-ft tall man casts a shadow
Vikentia [17]

Answer:

9ft

Step-by-step explanation:

Since the triangles are similar, the corresponding sides are proportional.

Let the height of the flag pole be x feet.

\frac{x}{6}  =  \frac{12}{8}

We multiply both sides by 6 to get:

x =  \frac{12}{8}  \times 6

We reduce the fraction to get:

x =  \frac{3}{2}  \times 6

We now simplify

x = 3 \times 3

x = 9ft

4 0
2 years ago
ACT help!!
DaniilM [7]

g) c=1.98w is your answer

w = weight = 5.5

c = cost = 10.89

10.89 = 1.98(5.5)

10.89 = 10.89 (true)

hope this helps

8 0
3 years ago
Anyone helppp meee please ....
borishaifa [10]
Yep, this one seems sneaky and confusing.  But it's not so bad if you remember the things you learned about parallel lines.  (It can't be too tough ... I learned them
in 1954 and I still know how to use them.)

Look at the picture.  Line ' l ' is parallel to line ' m ', and the horizontal line on the bottom (which is not labeled) is a transversal that cuts the parallel lines.

Did you learn that interior angles on the same side of the transversal are equal ?
I'm sure you did, although it may have a new name nowadays.

Anyway, with the help of that 'tool', angle-'B' and angle-'D' are equal.  So . . .

(angle-A + angle-B) = 120

angle-B = 65

angle-A = 120 - 65 = <u>55 degrees</u>.
4 0
3 years ago
The new number, 550, is 200 more than the original number. What is the approximate percent change?
Volgvan

Answer:150

Step-by-step explanation: you see what makes 550 200 plus what 350 then it equal 550 then you see 200 plus what equals 350 150 so that is a 150%

3 0
2 years ago
Read 2 more answers
Help please!! Step by step!!
GarryVolchara [31]

Answer:

P(Ice Cream|Frogtown) = 67.4\%

Step-by-step explanation:

Given

The attached plot

Required

P(Ice Cream|Frogtown)

This is calculated as:

P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}

From the attachment;

P(Ice\ Cream\ n\ Frogtown) = 0.31

P(Frogtown) = 0.31 + 0.15 = 0.46

So, we have:

P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}

P(Ice Cream|Frogtown) = \frac{0.31}{0.46}

P(Ice Cream|Frogtown) = 0.6739

Express as percentage

P(Ice Cream|Frogtown) = 0.6739 * 100\%

P(Ice Cream|Frogtown) = 67.39\%

P(Ice Cream|Frogtown) = 67.4\% -- approximated

5 0
3 years ago
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