<span>Answer:
Let P be the proportion of correct results of all polygraph results
H0: P ≥ 0.80
Ha: P < 0.80
Estimated p = 74 / 98 = 0.7551
Variance of proportion = p*(1-p)/n
= 0.8(0.2)/98 =0.0016327
S.D. of p is sqrt[0.001633] = 0.0404
z = ( 0.7551 - 0.8 ) / 0.0404 = -1.1112
P-value = P( z < -1.1112) = 0.1335
Since the p-value is greater than 0.05, we do not reject the null hypothesis. Based on the results there is no evidence that polygraph test results should be prohibited as evidence in trials.</span>
The value of x from the figure is 1 and the equations that represent angle relationships in the figure are 7x + 5x = 3 + 9 and 12x = 12
<h3>Lines and angles</h3>
The point where two lines meet is known as an angle. From the given diagram;
7x-9 = 5x + 3
Determine the value of x
7x + 5x = 3 + 9
12x = 12
x = 12/12
x = 1
Hence the value of x from the figure is 1 and the equations that represent angle relationships in the figure are 7x + 5x = 3 + 9 and 12x = 12
Learn more on lines and angles here: brainly.com/question/25770607
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It’s B. When dividing by -2, he did not change the direction of the sign
The minimum for g(x)=x2-10
36
45/14 = a product every 3 minutes and 21 seconds
