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ExtremeBDS [4]
3 years ago
6

Select the two correct solutions of the inequality x + 8 > 14

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

\huge\textsf{Hey there!}

\large\text{x + 8 } \mathsf{>}\large\text{ 14}

\large\textsf{SUBTRACT 8 to BOTH SIDES}

\large\text{x + 8 - 8 }\mathsf{>}\large\text{ 14 - 8}

\large\textsf{CANCEL out: \text{8 - 8} because that gives you \text{0}}

\large\textsf{KEEP: \text{14 - 8} because that helps what you are  comparing to the \text{x}}

\large\text{x }\mathsf{> }\large\text{ 14 - 8}

\large\text{14 - 8 = \boxed{\bf 6}}\large\checkmark

\large\text{x }\mathsf{>}\large\text{ 6}

\boxed{\boxed{\large\textsf{Answer: \bf x}\mathsf{\bf >}\large\text{ \bf 6 }}}\huge\checkmark

\large\textsf{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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Read 2 more answers
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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168 miles 3 hours how many miles per hours can i go
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168/3=56. 56 miles per hour.
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