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taurus [48]
3 years ago
7

PLS HELP! Solve and graph, y=1/3x-1 pls!!!!!!! show steps

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0

Answer:

See below for a graph.

Step-by-step explanation:

The equation of the line is in slope-intercept form. The slope is the coefficient of x, 1/3. The y-intercept is the added constant, -1.

These mean the line goes through the point (0, -1) on the y-axis and increases by 1 unit vertically for every 3 units of positive horiontal movement. These facts can help you draw the graph.

The steps are:

  • identify the y-intercept on the coordinate plane
  • find a point that is 3 units to the right and 1 unit up
  • draw the line through these two points.

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Answer:

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Step-by-step explanation:

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3 years ago
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Reading proficiency: An educator wants to construct a 99.5% confidence interval for the proportion of elementary school children
Shkiper50 [21]

Answer:

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error of the interval is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this problem, we have that:

p = 0.69

99.5% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.9975, so Z = 2.81.

Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?

This is n when M = 0.07. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.07 = 2.81\sqrt{\frac{0.69*0.31}{n}}

0.07\sqrt{n} = 1.2996

\sqrt{n} = \frac{1.2996}{0.07}

\sqrt{n} = 18.5658

(\sqrt{n})^{2} = (18.5658)^{2}

n = 345

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

4 0
3 years ago
Cheese sticks that were previously priced at "10 for $1" are now "4 for $1". Find each percent change.
statuscvo [17]

original quantity : 10 for $1

new quantity: 4 for $1

now we have to find each percent change

10-4=6

6÷100=0.06

0.06=6%

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professor190 [17]

Answer:

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Step-by-step explanation:


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Construct the triangle dce using as coordinates of its vertices points d(−4, 0), c(0, −2), and e(5,3). Find the coordinates of i
Naily [24]

Answer:

So, coordinate of intersection point  = (2,0)

Explanation:

Given a triangle DCE whose coordinate of the vertex are :

D(−4, 0), C(0, −2), and E(5,3)

We will find the equation of CE

Firstly find the slope of CE

Slope (m) = \frac{y_{2} - y_{1}  }{x_{2} - x_{1}}

m = \frac{3-(-2)}{5-0} = 1

Equation of line is :

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Find the intersection point of CE and x-axis

Put y = 0 to find the x-intercept

0 + 2 = x

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So, coordinate of intersection point  = (2,0)

4 0
3 years ago
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