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zepelin [54]
3 years ago
8

What is the slope of the line in the graph?4th possible answer is 4/3----بنام​

Mathematics
1 answer:
Delvig [45]3 years ago
6 0

Answer: Second option.

Step-by-step explanation:

The slope of a line can be calculated with this formula:

 m=\frac{y_2-y_1}{x_2-x_1}

Then, you need to choose two points of the line shown in the graph and substitute them into the formula for calculate the slope:

Let's pick the points (-4,4) and (4,-2).

Substituting:

m=\frac{-2-4}{4-(-4)}

Simplifiying,  you get that the slope of the line in the graph is:

m=\frac{-2-4}{4-(-4)}\\\\m=\frac{-6}{4+4}\\\\m=\frac{-6}{8}\\\\m=-\frac{3}{4}

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Now, a whole, will be 15/15 or 1 whole.

now, the sprinkler does 1/15 of the lawn in 1/3 of an hour, how long will it be to do the whole 15/15?

\bf \begin{array}{ccll}
lawn&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
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\end{array}\implies \cfrac{\quad \frac{1}{15}\quad }{\frac{15}{15}}=\cfrac{\quad \frac{1}{3}\quad }{h}\implies \cfrac{1}{15}\cdot \cfrac{15}{15}=\cfrac{\quad \frac{1}{3}\quad }{\frac{h}{1}}
\\\\\\
\cfrac{1}{15}=\cfrac{1}{3}\cdot \cfrac{1}{h}\implies \cfrac{1}{15}=\cfrac{1}{3h}\implies 3h=15\implies h=\cfrac{15}{3}\implies h=5
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3 years ago
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Step-by-step explanation:

The confidence interval for proportion is given by :-

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The proportion of women have red/green color blindness = p_2=\dfrac{6}{2050}\approx0.003

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Critical value : z_{\alpha/2}=z_{0.005}=\pm2.576

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Hence, the 99% confidence interval for the difference between the color blindness rates of men and women= (0.066,0.116)

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