Answer: c. 0.0778
Step-by-step explanation:
Let X is the number of non-authentic names in her sample with parameter :
n= 5 and p=40% = 0.40
Binomial probability distribution, the probability of getting success in x trials :-

We have ,

Thus , the correct answer is option c. 0.0778
Answer: y=-2x+5
Step-by-step explanation:
Answer:
y = 2x + 12
Step-by-step explanation:
You can check this by plugging any of the values from the table into the equation. You can find the answer by finding the slope and then using that to find the y-intercept.
y2-y1/x2-x1
16-14/2-1 = 2/1 = 2. So our slope equals 2.
If we set x = 0 to find our y-intercept, and we know that we have a slope of 2 we can subtract 2 from 14 to get the y-intercept.
14-2 = 12. --> (0, 12) which is true because we know that the slope is 2.
-4d + 2(3+d)= -14
distribute the 2(3+d)
-4d + 6+ 2d= -14
Combine the like terms
-4d + 2d + 6= -14
-2d + 6 = -14
subtract 6 to -14
-2d = -20
divide by -2
d= -20/-2
d= 10
Check your answer
-4(10) + 2(3+ 10) = -14
-40 + 6 + 20
-40 + 26= -14