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Vikki [24]
3 years ago
9

Compare the fractions

Mathematics
2 answers:
fredd [130]3 years ago
8 0
You have to find a common denominator first.
garri49 [273]3 years ago
6 0

When comparing these two fractions, notice that they have different denominators. Fractions that have different denominators are called unlike fractions. To compare unlike fractions, we first write them as like fractions by finding a common denominator. The common denominator for 7 and 6 is simply the least common multiple of 7 and 6 which is 42.

To get 42 in the denominator of the first fraction, multiply...

4 × 6 = 24

7 × 6 = 42

To get 42 in the denominator of the second fraction, multiply...

1 × 7 = 7

6 × 7 = 42

Now that we have our like fractions, we can compare them by looking at their numerators.

\frac{24}{42} > \frac{7}{42}

Therefore, \frac{4}{7} > \frac{1}{6}

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A game is played using ne die. If the die is rolled and shows 3, the player wins $45. If the die shows any number other than 3,
I am Lyosha [343]

Answer:

-$13.5

Step-by-step explanation:

Let x be a random variable of a count of player gain.

- We are told that if the die shows 3, the player wins $45.

- there is a charge of $9 to play the game

If he wins, he gains; 45 - 9 = $36

If he looses, he has a net gain which is a loss = -$9

Thus, the x-values are; (36, -9)

Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6

Thus;

E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)

E(X) = (1/6)(36 - (5 × 9))

E(X) = (1/6)(36 - 45)

E(X) = -9/6 = -3/2

E(X) = -3/2

This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5

3 0
3 years ago
Help please! 10 points!
IgorC [24]

Answer:

21.6 or 22

Step-by-step explanation:

Triangles have same angles. This means that they are proportion.

50/27 = 40/x

when you cross multiply to solve x, 50x = 1080

so x = 21.6

If you have to nearest whole number, it will be 22

7 0
3 years ago
R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} Select all numbers that are in the domain. -3 -2 -1 0 1 2
Andrei [34K]

Answer:

-3, -1, 1

Step-by-step explanation:

the x-coordinates are the domain

8 0
3 years ago
The probability of a particular event is 3/8 . What is the probability that the event will not happen ? Explain
viva [34]
5/8 because 8/8 - 3/8 Is 5/8
8 0
3 years ago
Solve the inequality k - 3 < 5
k0ka [10]

k-3+3<5+3 is the explanation and the answer is k<8

7 0
3 years ago
Read 2 more answers
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