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Vesnalui [34]
3 years ago
9

Solve for a. 6(a+3)=18+6a

Mathematics
2 answers:
Alinara [238K]3 years ago
7 0
6(a+3) = 18 + 6a
Distrubute the 3 to the a and the 3.

6a + 18 = 18 + 6a
- 6a - 6a
----------------------------
18 = 18
True

Answer: All Real Numbers

saveliy_v [14]3 years ago
3 0

Answer:

All real #'s

Because i just did this and got it right.

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Avoiding an accident while driving can depend on reaction time. Suppose that reaction time, measured from the time the driver fi
Nadya [2.5K]

Answer:

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

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

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

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.

0.05*0.5 = 0.025

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
Heather drew the scaled drawing of a train car shown below. She used the scale of 2 cm = 5 ft to complete the
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Answer: c

Step-by-step explanation:

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3 years ago
43/50 equals what decimal
snow_lady [41]
43 divided by 50 equals to 0.86
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3 years ago
Which of the quotients are equivalent to -(48/17)
bixtya [17]

Answer:

oiie4546

Step-by-step explanation:

5 0
3 years ago
(-a + 1)(5a + 6) =<br> Help me with this please
grandymaker [24]

Answer:

4a + 7 = SIMPLIFIED

4a = -7

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4 0
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