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valina [46]
3 years ago
15

What is the solution to 2x - 3 = 3x - 7

Mathematics
1 answer:
Yuri [45]3 years ago
8 0
The solution is x = 4

2x- 3 = 3x - 7

2x - 3x = 3 - 7

-x = -7 + 3

-x = -4

x = 4
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Use the commutative property of addition to write an equivalent algebraic expression. 8 + 6x
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Answer:

Step-by-step explanation:

8 + 6 x the sum of 8 + 6 = 84

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What is the answer? Please Help!
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A spinner has 12 equal sectors. 4 sectors are coloured red, 3 are coloured blue, and 5 are coloured yellow. The pointer on the s
vodomira [7]

Answer:

3.70% probability of the pointer landing on red each time

Step-by-step explanation:

For each time that the pointer is spun, there are only two possible outcomes. Either it lands on red, or it does not. The probability that it lands on red on a spin is independent of other spins. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

12 sections, of which 4 are red.

This means that p = \frac{4}{12} = 0.3333

The pointer on the spinner is spun 3 times.

This means that n = 3

What is the probability of the pointer landing on red each time?

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.3333)^{3}.(0.6667)^{0} = 0.0370

3.70% probability of the pointer landing on red each time

3 0
3 years ago
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We only need to subtract the bike and running segment from the total distance:

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5 0
3 years ago
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Marina86 [1]
X = 2y + 8
x - y = 25

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y = 25 - 8
y = 17

x = 2y + 8
x = 2(17) + 8
x = 34 + 8
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the larger number (x) = 42...and the smaller number (y) = 17
6 0
3 years ago
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