What is the value of b2 - 4ac for the following equation? 5x2 + 7x = 6 9 81 169

Segment AB falls on line 6x + 3y = 12. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD? They are par

nikklg [1K]

Answer:

They are parallel because they have the same slope of −2.

Step-by-step explanation:

got it right on the test, it is correct

6 0

2 years ago

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Kellianne lined up the interior angles of the triangle along line p below.

Tanzania [10]

Answer:1,4,5,2

Step-by-step explanation:

4 0

2 years ago

A random number generator is used to create a list of 150 single-digit numbers. Of those 150 numbers, 72 are odd and 78 are even

Artemon [7]

Answer:

38%

Step-by-step explanation:

Option: 38%.

Total number of numbers: 150

Number of odd numbers: 72

Number of nines: 15

Number of odd numbers other than nine: 72 - 15 = 57

Probability = [number of odd numbers other than nine] / [total number of numbers] = 57/150 = 0.38

0.38 = 38%

4 0

2 years ago

Bones Brothers & Associates prepare individual tax returns. Over prior years, Bones Brothers have maintained careful records

madreJ [45]

Answer:

For this case we have the following info related to the time to prepare a return

$\mu =90 , \sigma =14$

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation would be:

$\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2$

And the best answer would be

b. 2 minutes

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

For this case we have the following info related to the time to prepare a return

$\mu =90 , \sigma =14$

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation would be:

$\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2$

And the best answer would be

b. 2 minutes

3 0

2 years ago

For what value of x is line a parallel to line b? Enter your answer in the box. x =

Vitek1552 [10]

The angles with measures 5x + 15 and 115 are corresponding angles.
For lines a and b to be parallel, those angles must be congruent.

5x + 15 = 115

5x = 100

x = 20

8 0

2 years ago

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