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rjkz [21]
3 years ago
12

Does 5x-1=3(x+11) have one solution

Mathematics
2 answers:
ivann1987 [24]3 years ago
7 0

Answer:

x=17

Step-by-step explanation:

<em>Distributive property: A(B+C)=AB+AC</em>

<em>Expand.</em>

<em>3(x+11)=3x+33</em>

<em>5x-1=3x+33</em>

<em>Add by 1 from both sides of equation.</em>

<em>5x-1+1=3x+33+1</em>

<em>Simplify.</em>

<em>5x=3x+34</em>

<em>Subtract by 3x from both sides of equation.</em>

<em>5x-3x=3x+34-3x</em>

<em>Simplify.</em>

<em>2x=34</em>

<em>Divide by 2 from both sides of equation.</em>

<em>2x/2=34/2</em>

<em>Simplify, to find the answer.</em>

<em>34/2=17</em>

<em>x=17 is the correct answer.</em>

<em>I hope this helps you, and have a wonderful day! </em>

Nesterboy [21]3 years ago
6 0

Answer:

x=17

Step-by-step explanation:

5x-1=3x+33

5x-3x=33+1

2x=34

x=34/2

x=17

just 1 solution

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Answer:

2.5% of drivers have a reaction time more than 2.14 seconds

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Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

In this problem, we have that:

Mean = 1.9s

Standard deviation = 0.12

What percentage of drivers have a reaction time more than 2.14 seconds?

2.14 = 1.9 + 2*0.12

So 2.14 is two standard deviations above the mean.

Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, so, below 2.14. The other 5% is above.

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2.5% of drivers have a reaction time more than 2.14 seconds

What percentage of drivers have a reaction time less than 1.78 seconds?

1.78 = 1.9 - 0.12

So 1.78 is one standard deviation below the mean.

Of the 50% of the measures that are below the mean, 68% are within one standard deviation of the mean, that is, greater than 1.78.

100 - 68 = 32

0.32*50 = 0.16

16% of drivers have a reaction time less than 1.78 seconds

What percentage of drivers have a reaction time less than 2.02 seconds?

2.02 = 1.9 + 0.12

So 2.02 is one standard deviation above the mean.

Of the measures that are below the mean, all are below 2.02.

Of those that are above, 68% are below 2.02.

0.5 + 0.68*0.5 = 0.84

84% of drivers have a reaction time less than 2.02 seconds

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3 years ago
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