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egoroff_w [7]
3 years ago
10

Brainliest to best answer

Mathematics
1 answer:
Veronika [31]3 years ago
8 0

Answer:

  B.  3x -7y < -21

Step-by-step explanation:

For this problem, a quick way to the correct answer choice is to determine on which side of the y-intercept the equation tells you the solution lies. That is ...

  • set x=0
  • divide by the coefficient of y

Doing this transforms the answer choices to ...

  A: y < 3

  B: y > 3

  C: y > -3

  D: y < -3

The graph clearly shows the solution space on the y-axis is in the region y > 3, matching choice B.

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932 divided by 6 is 155.166666667

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10 runners ran fewer than 4 km 
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Read 2 more answers
Assume the population has a normal distribution. A sample of 25 randomly selected students Has a mean test score of 81.5 With a
Natasha_Volkova [10]

Answer:

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 2.064

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.064\frac{10.2}{\sqrt{25}} = 4.21

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 81.5 - 4.21 = 77.29

The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

6 0
3 years ago
-3/5 x 2/-9 x 8 write your answer in simplest form.
nata0808 [166]

Answer:

  16/15

Step-by-step explanation:

  \dfrac{-3}{5}\cdot\dfrac{2}{-9}\cdot 8=\dfrac{3\cdot 2\cdot 8}{5\cdot 9}=\dfrac{2\cdot 8}{5\cdot 3}=\dfrac{16}{15}

The two minus signs cancel, so the result is positive.

6 0
3 years ago
Which system of inequalities is shown? A. Y&gt;x y&lt;2 b. Y 2 D. Y&gt;x y&gt;2
AURORKA [14]

Answer: y > x, y > 2

The horizontal line goes through 2 on the y axis. This boundary line is represented by the equation y = 2, since every point on this line has a y coord of 2. The shading above it means that the inequality is y > 2. Every point in the shaded region of y > 2 has a y coord that is larger than 2.

The other inequality is y > x because we shade above the dashed boundary line y = x, which is that slanted dashed line.

Combining the two regions of y > 2 and y > x leads to what is shown.

6 0
2 years ago
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