<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>
Answer:
12 miles by 8 miles
Step-by-step explanation:
Let length be represented by x
Since width is 4 miles less than the length, therefore, the width will be (x-4) miles
Area=Length*Width
Area=x(x-4)=
Area is given hence
To write the above equation as a quadratic equation
By factorization, we find two numbers whose sum is -4 and product is -96, these are 8 and -12. Therefore, taking these two numbers back to our equation
(x+8)(x-12)=0
Therefore, x=-8 or 12
Equally, using quadratic formula of
for equation 
and in our case a=1, b=-4 and c=-96
x=-8 or 12
Since length can't be negative, hence x=12
The length is 12 miles
Width=12-4=8 miles
Dimensions: 12 miles by 8 miles
To find 10% of a number, move the decimal point one place to the left.
$23.47 becomes $2.347
The closest answer is C $3
Answer:
The answer is 5.5
Step-by-step explanation:
+11-1/2 = +×– = += 5.5
Answer:
(8,-2)
Explanation:
you reflect it over the x-axis
