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3 years ago

I need the answer for Number six

Mathematics

1 answer:

posledela3 years ago

4 0

Step-by-step explanation:

Although I can't give you a written answer, here's how you do it.

For y = -x + 7, we know 7 is our y coordinate, so place a point on 7 on the y axis.

-x is equal to -1/1, so when graphing the line, go down 1 over 1 and place your point. Continue until you reach the edge of the graph.

For 5x + 5y = 10, subtract 5x from the left side of the equation. This will leave you with:

5y = -5x + 10. Divide every term by 5, leaving you with y = -x + 2. Your teacher may want you to phrase this as y = 2 - x. 2 is your y coordinate, and once again -x is -1/1. Start at 2 and go down 1 over 1 on the graph.

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3 years ago

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irina1246 [14]

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3 years ago

Tumbleweed, commonly found in the western united states, is the dried structure of certain plants that are blown by the wind, ko

kramer

Since we are dealing with a proportion, it is determined by using the z-distribution that there is insufficient evidence to draw the conclusion that the proportion of all kochia plants that are resistant to glyphosate has increased because the test statistic is less than the critical value for the right-tailed test.

In this problem, we consider that:

$p_{1}$ is the proportion in 2014.

$p_{2}$ is the proportion is 2017.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, we test if there has been no increase, that is, the subtraction is of 0.

$H_{0}: p_{2}-p_{1}=0$

At the alternative hypothesis, we test if there has been an increase, hence:

$H_{1}: p_{2}-p_{1} \neq 0$

<h3>What is the distribution of the difference of sample proportions?</h3>

The proportions and standard errors are given by:

$p_{1}=0.197, s_{1}=\sqrt{\frac{0.197(0.803)}{61}}=0.0509\\p_{2}=0.385, s_{2}=\sqrt{\frac{0.385(0.615)}{52}}=0.0675$

Hence, the distribution has mean and standard error given by:

$\bar{p}=p_{2}-p_{1}=0.0675-0.0509=0.0166\\s=\sqrt{s_{1}^{2}+s_{2}^{2}}=\sqrt{0.0509^{2}+0.0675^{2}}=0.0845$

<h3>What is the test statistic?</h3>

It is given by:

$z=\frac{\bar{p}-p}{s}$

In which p = 0 is the value tested at the null hypothesis, hence:

$z=\frac{0.0166}{0.0845}\\$z=0.2$$

<h3>What is the decision?</h3>

Considering a right-tailed test, as we are testing if the proportion is greater than a value, with a significance level of 0.05, the critical value is of $z^{*}=1.645$

There is insufficient information to establish that the fraction of all kochia plants that are resistant to glyphosate has increased because the test statistic is smaller than the crucial value for the right-tailed test.

Learn More about the z-distribution here: brainly.com/question/26454209

#SPJ4

3 0

2 years ago