Which of the following constants can be added to x^2 - 10x to form a perfect square trinomial?

Mathematics

2 answers:

Alchen [17]3 years ago

8 0

Halve middle term
-10/2=-5
squaer it
(-5)^2=25
that is what should be added

answer is 25

lidiya [134]3 years ago

8 0

b)-25 is the correct answer.

I just did this exact question in my schooling.

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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 nullhypothesis, 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

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

$= 0.7629 - 0.80 / [\sqrt(0.80 \times 0.20) / 97]$

= -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

4 years ago

21. Attending a Conference The Sarasota City Council plans

Free_Kalibri [48]

Answer:

Step-by-step explanation:

So in order to get this answer you want to use the combination formula which is $\frac{n!}{(n-r)!r!}$

Now you want to use the numbers given to you in the problem which is ₈C₂ and plug those into the equation

so your going to have something looking like this $\frac{8!}{(8-2)!2!}$ now if you have a calculator nearby and you plug in ₈C₂ your going to get 28 which is the answer.