The solution would be like this for this specific problem:
Given:
No
(Did Not Lie) Yes (Lied)
Positive Test Result 10 29
(Positive test indicated that the subject lied.) (false positive) (true positive)
Negative test result 66 18
(Polygraph test indicated that the subject did not lie.) (true negative) (false negative)
Find:
The
probability that all four test subjects had a true negative test result when
they are randomly selected without replacement.
Formula:
(66/123) x (65/122) x (64/121) x (63/120) = 0.0793864272
Therefore, when they are randomly selected without
replacement, the <span>probability that all four test subjects had a
true negative test result is 0.079</span>.
Answer:5 times more
Step-by-step explanation:
9.1 x 5 is 45.5
0.1 x 5 = 0.5
9.0 x 5= 45.0
0.5 + 45.0 = 45.5
Answer: 8.3 minutes
Step-by-step explanation:
The time t may be obtained using the speed distance equation s=d/t. Rearranged to solve for time it would be: t=s/v, where s is the distance between the Sun and Earth and v is the speed of light.
Required Perimeter = AB + BC + CA
AB = sqrt((5 - (-1))^2 + (-1 - 1)^2) = sqrt(6^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40) = 6.3
BC = sqrt((-1 - 0)^2 + (1 - (-3))^2) = sqrt((-1)^2 + 4^2) = sqrt(1 + 16) = sqrt(17) = 4.1
CA = sqrt((0 - 5)^2 + (-3 - (-1))^2) = sqrt((-5)^2 + (-2)^2) = sqrt(25 + 4) = sqrt(29) = 5.4
Perimeter = 6.3 + 4.1 + 5.4 = 15.8 units
Answer:
The answer is option 1 and 3.
Step-by-step explanation:
Firstly, you have to find the simplest form of the ratio by dividing the common numbers :
Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :
Option 1,
Option 2,
Option 3,
Option 4,
Option 5,
