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Anni [7]
3 years ago
9

For the following pair of lines, identify the system by type.

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer:

Inconsistent

Step-by-step explanation:

A system of equation is said to be inconsistent if the lines are parallel or the system of equations have no solution.

From the given graphs of lines, we can say that the lines are parallel to each other. Hence, the graphs never intersect.

Since, the lines are parallel hence, we can say that there would be no solution for the system of equations.

Therefore, the system is inconsistent.

Hence, third option is the correct option.

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Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treat
stiks02 [169]

Answer:

Part A

b. 14.6 ± 7.38

Part B

b. 3.43

Part C

a. P-value < 0.01

Part D

b. There is sufficient evidence to reject the null hypothesis

Step-by-step explanation:

Part A

The given data are;

The number of seedlings in the field = 20

The number of seedlings selected to receive herbicide A = 10

The number of seedlings selected to receive herbicide B = 10

The height in centimeters of seedlings treated with Herbicide A, \overline x _1 = 94.5 cm

The standard deviation, s₁ = 10 cm

The height in centimeters of seedlings treated with Herbicide B, \overline x _2 = 109.1 cm

The standard deviation, s₂ = 9 cm

The 90% confidence interval for μ₂ - μ₁, is given as follows;

\left (\bar{x}_{2}- \bar{x}_{1}  \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}

The critical-t at 95% and n₁ + n₂ - 2 degrees of freedom is given as follows;

The degrees of freedom, df = n₁ + n₂ - 2 = 10 + 10 - 2 = 18

α = 100% - 90% = 10%

∴ For two tailed test, we have, α/2 = 10%/2 = 5% = 0.05

t_{(0.025, \, 18)} = 1.734

C.I. = \left (109.1- 94.5 \right )\pm 1.734 \times \sqrt{\dfrac{10^{2}}{10}+\dfrac{9^{2}}{10}}

C.I. ≈ 14.6 ± 7.37714603353

The 90% C.I. ≈ 14.6 ± 7.38

b. 14.6 ± 7.38

Part B

With the hypotheses are given as follows;

H₀; μ₂ - μ₁ = 0

Hₐ; μ₂ - μ₁ ≠ 0

The two sample t-statistic is given as follows;

t=\dfrac{(\bar{x}_{2}-\bar{x}_{1})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}

t-statistic=\dfrac{(109.1-94.5)}{\sqrt{\dfrac{10^{2} }{10}+\dfrac{9^{2}}{10}}} \approx 3.43173361147

The two sample t-statistic ≈ 3.43

b. 3.43

Part C

From the t-table, the p-value, we have, the p-value < 0.01

a. P-value < 0.01

Part D

Given that a significance level of 0.05 level is used and the p-value of 0.01 is less than the significance level, there is enough statistical evidence to reject the null hypothesis

b. There is sufficient evidence to reject the null hypothesis.

4 0
3 years ago
Solve 5x^2=10x + 4<br><br> Help please I literally forgot what topic this is! Thanksssss !!!!
faltersainse [42]
X = 4/15. The topic is solving for unknowns in an equation.
5 0
3 years ago
2a +7= 15 answer please
Paul [167]

Answer:

a = 4

Step-by-step explanation:

2a + 7 = 15

     - 7  - 7

2a = 8

/2   /2

a = 4

Hope this helps!

7 0
2 years ago
Read 2 more answers
Which graph represents a proportional relationship?
Colt1911 [192]

Answer:

represented by the graph of a straight line through the origin with a slope equal to the unit rate.

Step-by-step explanation:

For each point (x, y) on the graph, ž is equal to k, where k is the unit rate.

7 0
3 years ago
Read 2 more answers
What is a necessary step for constructing perpendicular lines through a point on a line?
maxonik [38]

Answer:

Edit: This is incorrect, it might actually be the 3rd answer, draw arcs on either side of a given point on the line?

Draw arcs on either side of a given point off of the line I believe.

Step-by-step explanation:

Bisect a Segment:

Step 1 - open up your compass so that it is slightly larger than the segment. Put the compass on point A on the given segment and swing an arc above and below the lines. Do the same on point B. Create the points where the circle intersects.

Step 2 - Draw a line going through the points. That’s the bisector.

6 0
3 years ago
Read 2 more answers
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