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3 years ago

Which part of the graph best represents the solution set to the system of inequalities y<_ x+1 and y+x<_ -1

Mathematics

2 answers:

Digiron [165]3 years ago

8 0

Answer:

Hence, the solution set of the graph of the system of linear inequalities lies in:

PART C

Step-by-step explanation:

We are asked to find which part of the graph represents the solution set of the system of equations:

y ≤ x+1 This inequality could also be written as:

-x+y ≤ 1 ( The graph of this inequality will be a straight line passing through (-1,0) and (0,1) with shading lying towards the origin)

y+x ≤ -1 ( The graph of this inequality will be a straight line passing through (-1,0) and (0,-1) and shaded region away the origin)

Hence, the shaded region of the solution will lie in:

PART C

Pavel [41]3 years ago

6 0

Hello!

Remember that the symbols: ≤ and ≥ are graphed as a solid line. While the symbols: < and > are graphed as a dotted line.

Also, before graphing, it would be better to convert both equations to slope-intercept form.

y ≤ x + 1 is already in slope-intercept form.

y + x ≤ -1 is not written in slope-intercept form. (Slope-intercept form: y = mx + b)

y + x ≤ - 1 (subtract x from both sides)

y ≤ -x - 1

Graphing those lines, you get the graph below. You can see that Part C best represents the solution set systems of inequalities, because that is where both of the shaded lines intersect.

Answer: Part C

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Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression

Wewaii [24]

The Z-score is 2.306 to three decimal places. However, the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis $\mathbf{H_o}$

<h3>What is the Z-score of a test statistic?</h3>

A z-score is a measurement of how often standard deviations the score obtained from a z-test is beyond or under the mean population.

From the given data information, let us find the mean and the standard deviation.

$\mathbf{Mean (\bar x) = \dfrac{1154+5998+1007+...3987+4187+887}{10}}$

$\mathbf{Mean (\bar x) = \dfrac{24256}{10}}$

Mean (x) = 2425.6

The hypothesis testing can be computed as:

$\mathbf{H_o: \mu = 2425.6}$

$\mathbf{H_1: \mu \ne 2425.6}$

The standard deviation (σ) is:

$\mathbf{=\mathbf{ \sqrt{\dfrac{(1154-2425.6)^2+....+(887-2425.6)^2}{10-1}}}}$

$\mathbf{= \sqrt{3199489}}$

= 1788.71

Now, the Z-test statistic is determined using the formula:

$\mathbf{|Z| = |\dfrac{\bar x - \mu }{\sigma}| }$

$\mathbf{|Z| = |\dfrac{2425.6 -6550 }{1788.71}| }$

$\mathbf{|Z| = |-2.3058| }$

Z ≅ 2.306

Therefore, at a 0.05 level of significance, the Z-critical value is 2.306. However, since the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis $\mathbf{H_o}$

The complete question is given as:

Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression in 10 different samples of lung tissue, and obtains these data:

1154 5998 1007 2501 1000 988 2547 3987 4187 887

Scientist has previously determined that FOXP2 is expressed in brain tissue at a level of 6,550. Calculate the Z-score associated with a test to see if the average expression of FOXP in her lung tissue samples is different from the levels she measured from brain tissue.

Learn more about calculating the Z-score of a test statistics here:

brainly.com/question/15569214

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8 0

2 years ago

I still need help on this please

lapo4ka [179]

Answer:

x = $\frac{85}{3}$