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Vadim26 [7]
3 years ago
6

What indicators predict that a quadratic function will have a complex solution?

Mathematics
1 answer:
zysi [14]3 years ago
8 0
The nature of the roots can be determined by the determinant of the equation. The determinant is:
b² - 4ac

If this is positive, there are two roots
If this is 0, there is only one root
If this is negative, there are complex roots
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The measure of angle A is 68°. The measure of angle B is 22°. Which statement best describes the relationship between these two
stellarik [79]

Answer:

They are complementary angles.

Step-by-step explanation:

The sum of their measurements equals 90 degrees.

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2 years ago
What is the correct solution of<br> 4 - 2x = -2<br> +4 +4<br> 2x = 2<br> 2 2<br> x = 6
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The answer is x=3
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3 years ago
The perimeter of a rectangle is 50 feet and its area is 154 feet. What are the dimensions of the
sasho [114]
14 and 11 are it dimensions

Hope this helps!
3 0
3 years ago
If the area of a square is 36 inches what is the length of one side?
Pavel [41]
To find the length of a square given the area, we just need to take the square root of the area given. The sqrt of 36 is 6, so each side is 6 inches. :)
4 0
3 years ago
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

5 0
3 years ago
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