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Tema [17]
3 years ago
8

What is the slope of the line?

Mathematics
2 answers:
elena55 [62]3 years ago
6 0

Answer:

y=\frac{3}{4}x-1

Step-by-step explanation:

You can find this since the y-intercept is negative 1 and every x, y goes up by \frac{3}{4}

Vilka [71]3 years ago
4 0

Answer:

m= 3/4.

Step-by-step explanation:

To find the slope, we will need to use two points. Looking at the graph, we can derive the points (4, 2) and (0, -1).

Plug these points into the slope formula: m= \frac{y_{2}-y_{1} }{x_{2}-x_{1}} which becomes:

m= \frac{2+1}{4-0}

m= 3/4.

Therefore, the slope of the line is 3/4.

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bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, Z_{Critical}=1.645.

We also know that E=5% or E=0.05

Also, since, \hat{p} is not given, we will assume that \hat{p}=0.5. This is because, the formula that we use will have \hat{p}(1-\hat{p}) in the expression and that will be maximum only when \hat{p}=0.5. (For any other value of \hat{p}, we will get a value less than 0.25. For example if, \hat{p} is 0.4, then 1-\hat{p}=0.6 and thus, \hat{p}(1-\hat{p})=0.24.).

We will now use the formula

n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})

We will now substitute all the data that we have and we will get

n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)

n=(32.9)^2\times0.25

n=270.6025

which can approximated to n=271.

So, the brand manager needs a sample size of 271

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3 years ago
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vampirchik [111]
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Use the x-intercept method to find all real solutions of the equation.<br> x^3-8x^2+9x+18=0
meriva

Answer:

a. x=-1,3,\:or\:6

Step-by-step explanation:

The given equation is;

x^3-8x^2+9x+18=0

To solve by the x-intercept method we need to graph the corresponding function using a graphing calculator or software.

The corresponding function is

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We can see from the graph  that; the x-intercepts are;

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Therefore the real solutions are:

x=-1,3,\:or\:6

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I think it’s 3/4 but I’m not positive
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