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ICE Princess25 [194]
2 years ago
10

What is the vertex and p-value of this parabola?

Mathematics
1 answer:
kobusy [5.1K]2 years ago
5 0

Answer:

  • vertex: (-7, 5)
  • p = 2

Step-by-step explanation:

The vertex is halfway between the focus and the directrix:

  ((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates

The value of p is the distance from the focus to the vertex:

  7 -5 = 2 = p

In vertex form, the equation of the parabola is ...

  y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)

  y = 1/8(x +7)^2 +5

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What is the fifth term in the geometric sequence?<br> 1, 2, 4, 8,
olga55 [171]

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16

Step-by-step explanation:

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3 years ago
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Trials in an experiment with a polygraph include results that include cases of wrong results and cases of correct results. Use a
hram777 [196]

Answer and Step-by-step explanation:

This is a complete question

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80​% of the time. Identify the null​hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution.

The computation is shown below:

The null and alternative hypothesis is

H_0 : p = 0.80

Ha : p < 0.80

\hat p = \frac{x}{ n} \\\\= \frac{74}{97}

= 0.7629

Now Test statistic = z

= \hat p - P0 / [\sqrtP0 \times (1 - P0 ) / n]

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= -0.91

Now

P-value = 0.1804

\alpha = 0.01

P-value > \alpha

So, it is Fail to reject the null hypothesis.

There is ample evidence to demonstrate that less than 80 percent of the time reports that these polygraph findings are accurate.

5 0
3 years ago
Is this correct ? check plsss...
d1i1m1o1n [39]
This looks one hundred percent correct to me and to check your answer you can plug in the answer you find to the first equation 


17=37+4f 
17=37+4(-5)
17=37-20
17=17 

great job!!
7 0
3 years ago
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Suppose that E and F are two events and that N(E and F)=450 and N(E)=700. What is P(F|E)​?
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Answer:i really dont know

Step-by-step explanation:

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3 years ago
The 2nd one is right just did the test
Vikki [24]

Answer:

ok lol

Step-by-step explanation:

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