<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>
18.84 because circumference is 2piR so 2(3)(3.14)= 18.84
Answer:
45
Step-by-step explanation:
325*89.1
Let's decompose this into:
325 = 300 + 25
89.1 = 80 + 9 + 0.1
Then we have the multiplication:
(300 + 25)*(80 + 9 + 0.1)
Let's distribute the multiplication:
300*80 + 300*9 + 300*0.1 + 25*80 + 25*9 + 25*0.1
So now we have 6 multiplications that are a lot easier to solve than the initial one that we had.
Then the list of six multiplications involved in solving this problem are:
300*80 = 24,400
300*9 = 2,700
300*0.1 = 30
25*80 = 2,000
25*9 = 225
25*0.1 = 2.5
Now we add all of those and get:
325*89.1 = 24,400 + 2,700 + 30 + 2,000 + 225 + 2.5 = 28,957.5
Answer:
a. n= 1x +7
b. n= 12 + 4x
Step-by-step explanation:
