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sp2606 [1]
3 years ago
11

Find the slope of the line graphed in the diagram and choose the correct answer from the choices below. The two intercepts are (

0,3) and (-2.5,0)

Mathematics
1 answer:
kolezko [41]3 years ago
5 0

1.2 is the slope of the line graphed in the given diagram

<u>Step-by-step explanation:</u>

We can use the given points (0, 3) and (-2.5, 0) to solve.

Slope formula is given by

             \text { slope, } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Given two intercepts:

\left(x_{1}, y_{1}\right)=(0,3) \text { and }\left(x_{2}, y_{2}\right)=(-2.5,0)

By substituting these in the slope equation, we get

     \text { slope, } m=\frac{0-3}{-2.5-0}=\frac{-3}{-2.5}=\frac{3}{2.5}=1.2

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5 0
3 years ago
An Article a Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the
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Answer:

The estimate is  P__{hat}} \pm E  = 0.37 \pm 0.0348

Step-by-step explanation:

From the question we are told that  

    The sample size is  n =  522

    The sample proportion of students  would like to talk about school is  \r p__{hat}} =  0.37

  Given that the confidence level is  90 % then the level of significance can be mathematically evaluated as

                  \alpha  =  100 - 90

                  \alpha  =  10\%

                  \alpha  =  0.10

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table, the value is  

               Z_{\frac{\alpha }{2} } =Z_{\frac{0.10}{2} } =  1.645

Generally the margin of error can be mathematically represented as

               E =  Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\r P_{hat}(1- \r P_{hat} )}{n } }

=>            E = 1.645 *  \sqrt{\frac{0.37 (1- 0.37  )}{522 } }

=>             E = 0.0348

Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is  

                       P__{hat}} \pm  E

substituting values

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