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Kryger [21]
3 years ago
10

pasha is thinking of a number such that when twice the number is added to three times one more than the number she gets the same

result as when she multiplies four times one less than the number. what number is pasha thinking about?
Mathematics
2 answers:
Lelechka [254]3 years ago
5 0
<span>This is the equation made from the problem where x=mystery number
</span><span>2x+3(x+1)=4(x-1)</span><span>

</span><span>Now let's solve for x!
</span><span>
</span><span>We start by distributing 3 into (X+1)
</span><span>
</span><span>3(x)=3x  and 3(1)=3
</span><span>
</span><span>Now our equation is 2x+3x+3=4(x-1)
</span><span>
</span><span>Let's combine both x values on the left side of the equation: 2x + 3x=5x
</span><span>
</span><span>We now have 5x+3=4(x-1)
</span><span>
</span><span>Let's distribute 4 into (x-1)
</span><span>
</span><span>4(x)=4x  and 4(-1)=-4
</span><span>
</span><span>Now our equation is 5x+3=4x-4
</span><span>
</span><span>subtract 3 form both sides
</span><span>
</span><span>5x=4x-7
</span><span>
</span><span>subtract 4x from both sides
</span><span>
</span><span>x=-7
</span><span>
</span><span>Yay! So the number she is thinking of is -7!</span><span>








</span>
Agata [3.3K]3 years ago
5 0

Answer:

The number is -7.

Step-by-step explanation:

Let the number be = x

when twice the number is added to three times one more than the number. Mathematically, we can denote this as:

2x+3(x+1)  

She gets the same result as when she multiplies four times one less than the number.

4(x-1)

Now, both the results are same, so we will equate them same.

2x+3(x+1)=4(x-1)

=> 2x+3x+3=4x-4

=> 5x+3=4x-4

=> 5x-4x=-4-3

This gives x = -7

So, the number Pasha was thinking was -7.

We can check this:

2(-7)+3(-7+1)=4(-7-1)

=> -14+3(-6)=4(-8)

=> -14-18=-32

=> -32=-32   (checked)

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12% of children are nearsighted, but this condition often is not detected until they go to kindergarten. A school district tests
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Answer:

There is a 34.60% probability that 0 or 1 of them is nearsighted.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they are nearsighted, or they are not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution

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

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

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And p is the probability of X happening.

In this problem, we have that:

12% of children are nearsighted. This means that p = 0.12.

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There are 18 students, so n = 18

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There is a 34.60% probability that 0 or 1 of them is nearsighted.

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