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Oduvanchick [21]
3 years ago
9

How do you use slope to find the second point for a whole number slope?

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0

Answer:

you use a linear equation.

Step-by-step explanation:

y=mx+b is a linear equation, b equals the y intercept (the point at which the slope touches the y line at x=0), and m equals the slope.

All you have to do is plug in your values for the equation to work.

You might be interested in
Is there statistically significant evidence that the districts with smaller classes have higher average test​ scores? The t​-sta
Musya8 [376]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  95% confidence interval is [670.03  , 673.97 ]

The  test statistics is t = 7.7

The  p-value  is    p-value  =  0

The <u>p-value</u>  suggests that the null hypothesis is<u> rejected </u>with a high degree of confidence. Hence  <u>there is</u> statistically significant evidence that the districts with smaller classes have higher average test score  

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  408

    The sample mean is  \= y  =  672.0

   The standard deviation is  s = 20.3

Given that the confidence level  is 95% then the level of significance is  

   \alpha = (100 -95 )\% = 0.05

From the normal distribution table  the critical value of \frac{\alpha }{2} = \frac{0.05 }{2} is  

    Z_{\frac{\alpha }{2} } =  1.96

Generally  the margin of error is mathematically represented as  

     E  =  Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }

=>   E  =  1.96 *  \frac{20.3}{\sqrt{408} }

=>     E  =  1.970

Generally the 95% confidence interval is mathematically represented as

       \= y -E  < \mu <  \= y + E

=>     672.0 -1.970  < \mu < 672.0 +1.970

=>     670.03  < \mu < 673.97

=>     [670.03  , 673.97 ]

From the question we are told that

   Class size                                  small                                      large

  Avg.score(\= y)         \= y_1 = 683.7   \= y_2 =  676.0

   S_y                          S_{y_1} =20.2    S_{y_2} = 18.6

   sample size                             n_1 = 229        n_2 =  184

The  null hypothesis is  H_o :  \mu_1 - \mu_2 = 0

The alternative hypothesis is  H_a :  \mu_1 - \mu_2 > 0

Generally the standard error for the difference in mean is mathematically represented as

       SE =  \sqrt{\frac{S_{y_1}^2 }{n_1} +\frac{S_{y_2}^2 }{n_2}   }

=>     SE =  \sqrt{20.2^2 }{229} +\frac{18.6^2 }{184_2}   }

=>     SE =  1.913

Generally the test statistics is mathematically represented as

      t = \frac{\= y _1 - \= y_2 }{SE}

=>    t = \frac{683.7 - 676.0 }{1.913}

=>   t = 7.7

Generally the p-value is mathematically represented as

    p-value  =  P(t >  7.7 )

From the  z-table

        P(t >  7.7 ) =  0

So

   p-value  =  0

From the values we obtained and calculated we can see that p-value  <  \alpha

This mean that

The p-value  suggests that the null hypothesis is rejected with a high degree of confidence. Hence  there is statistically significant evidence that the districts with smaller classes have higher average test score  

4 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
astraxan [27]

Answer:

x=40

Step-by-step explanation:

What the problem is telling you is that the unlabeled angle is the same as the 70 degree angle. Since all the angles of a triangle add up to 180 degrees. First take 70+70, which equals 140. Now take the 180-140=40 ,so 40 would be the missing angle.

8 0
3 years ago
Use the greatest common factor and the distributive property to write equivalent expressions in factored form.
Marta_Voda [28]

Answer:

ab(28) or 28ab

Step-by-step explanation:

13ab + 15ab = 28ab

8 0
2 years ago
Read 2 more answers
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the
wariber [46]

The formula for the area of a trapezium is as follows:

<span>area=<span>12</span>(a+b)h

</span> Let a be the shorter base. Then a = h + 3.
Let b be the longer base. Then b = h + 7.

Substituting these values for a and b in the general formula gives: <span>
area = 225 = <span>12</span>(h+3+h+7)h = <span>h^2</span>+5h</span>

So you need to solve the following quadratic:

<span><span>h^2</span>+5h−225=0</span>


Step 1: Use quadratic formula with a=1, b=5, c=-225.

<span>h=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>h=<span><span><span>−<span>(5)</span></span>±<span>√<span><span><span>(5)</span>2</span>−<span><span>4<span>(1)</span></span><span>(<span>−225</span>)</span></span></span></span></span><span>2<span>(1)</span></span></span></span><span>h=<span><span><span>−5</span>±<span>√925</span></span>2</span></span><span><span>h=<span><span><span>−5/</span>2</span>+<span><span><span><span>5/2</span><span>√37</span></span><span> or </span></span>h</span></span></span>=<span><span><span>−5/</span>2</span>+<span><span><span>−5/</span>2</span><span>√37

</span></span></span></span>Answer:<span><span>h=<span><span><span>−5/</span>2</span>+<span><span><span><span>52</span><span>√37</span></span><span> or </span></span>h</span></span></span>=<span><span><span>−5/</span>2</span>+<span><span><span>−5/</span>2</span><span>√<span>37</span></span></span></span></span>
4 0
3 years ago
What is the whole number and remainder from 2895 divided by 229
daser333 [38]

your whole number is 12, your remainder is .64 for a total of 12.64

5 0
3 years ago
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