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Alja [10]
2 years ago
14

What is the value of m in the equation y=x^2+mx-9 with vertex (-1.5,-11.25)

Mathematics
1 answer:
mel-nik [20]2 years ago
5 0

3

Step-by-step explanation:

Step 1:

Let the given equation be

y = x^{2} + mx  - 9

Step 2:

Applying the  given vertices and simplifying  we will get m

-11.25 = (-1.5)² +m(-1.5) -9

-1.5m = -11.25 + 9 - 2.25

         = -4.5

m = (-4.5) / (-1.5)

    = 3

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How is it an error? Need more explatinion or an example
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2 years ago
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex
Olenka [21]

Answer:

a

 The  90% confidence interval that  estimate the true proportion of students who receive financial aid is

     0.533  <  p <  0.64

b

   n = 1789

Step-by-step explanation:

Considering question a

From the question we are told that

      The sample size is  n = 200

      The number of student that receives financial aid is k = 118

Generally the sample proportion is  

      \^ p = \frac{k}{n}

=>   \^ p = \frac{118}{200}

=>   \^ p = 0.59

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of \frac{\alpha }{2}  is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

 =>E =  1.645 * \sqrt{\frac{0.59 (1- 0.59)}{200} }

=>  E = 0.057

Generally 90% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

  =>  0.533  <  p <  0.64  

Considering question b

From the question we are told that

    The margin of error  is  E = 0.03

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 99 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of   is  

   Z_{\frac{\alpha }{2} } = 2.58

Generally the sample size is mathematically represented as      

        [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>      n = [\frac{2.58}{0.03} ]^2 * 0.59 (1 - 0.59 )

=>      n = 1789

8 0
2 years ago
Someone help please
MArishka [77]

Answer:

The slope of the line segment CD = 9

Hence, option 'D' is true.

Step-by-step explanation:

Given that the slope of line segment = 9

  • We know that two triangles would be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given that the line segments AB and CD are both parts of the same non-vertical line. It means their slopes must be the same.

Thus, the slope of the line segment CD = 9

Hence, option 'D' is true.

7 0
2 years ago
One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 175 nautical miles?
MrMuchimi

Answer:

323.75 km

Step-by-step explanation:

185/100 = 1.85 km per nm

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A triangular park has sides 80m, 64m and 48m.​
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Answer:

plz type the full question ,.......or this is the full question.....

4 0
3 years ago
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