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Lesechka [4]
2 years ago
11

George and Lea each toss a tetrahedral die with faces numbered 1 through 4, and then multiply the two resulting numbers. If the

product is less than 9, George wins; otherwise, Lea wins. What is the probability that Lea will win? Express your answer as a common fraction.
Mathematics
1 answer:
Anna007 [38]2 years ago
6 0

Answer:

I think the total number of combinations of 3 from 6 = 6C3 = 20

All possible combinations of 3 which have a product divisible by 3 must contain either a 3 or a 6.

So the number not divisible must be 3 combinations from the number 1, 2, 4, and 5.= which is 4

So the required probability is 20-4 ? 20 = 16/20 = 0.8 Answer

Hope this help you! :)

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(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain.
cricket20 [7]
A) there is a linear relationship with the test scores go up with increasing hours spent on hw

b) y=8x+40 so at x=3h, y=test score= 8*3+40 = 64

c) 40 represents test score when u spend 0 hour on hw


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3 years ago
Find the ratio a:b, if 2a−b/6 = b/3
Tom [10]

Answer:

a:b = 2

Step-by-step explanation:

Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).

We have:

2a−b/6 = b/3

Lets sum b/6 in both sides:

2a−b/6 + b/6 = b/3 + b/6

2a = b/3 + b/6

Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:

2a = b/3*(2/2) + b/6

2a = 2b/6 + b/6

2a = 3b/6

2a = b/2, as 3/6 = 1/2

Now lets divide both sides by b to make an a/b appear:

2a/b = (b/2)/b

2a/b = 1/2

Finally, multiply both sides by (1/2) or divide by 2:

(2a/b)/2 = 2

a/b = 2

This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.

7 0
3 years ago
20 points
g100num [7]

Answer:

the answer is 7/12 hours

Step-by-step explanation:

4 0
3 years ago
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Estimate the sum 8/10 + 1/9
RideAnS [48]

Answer:

41/45

Step by Step Explanation:

Add: 8/

10

+ 1/

9

= 8 · 9/

10 · 9

+ 1 · 10/

9 · 10

= 72/

90

+ 10/

90

= 72 + 10/

90

= 82/

90

= 2 · 41/

2 · 45

= 41/

45

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/

45

.

In other words - eight tenths plus one ninth = forty-one forty-fifths.

8 0
2 years ago
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