Answer:
Equation of line in slope-intercept form is: y = -8x-39
Step-by-step explanation:
Given points are:
(-4, -7) and (-6, 9)
The slope-intercept form is given by the equation
Here m is the slope of the line and b is the y-intercept.
m is found using the formula
Here
(x1,y1) = (-4-7)
(x2,y2) = (-6,9)
Putting the values in the formula
Putting slope in general equation
Putting (-6,9) in the equation
Putting the value of b we get
Hence,
Equation of line in slope-intercept form is: y = -8x-39
Answer:
10.
x P(X)
0 0.238
1 0.438
2 0.269
3 0.055
11.
0.707
There is 70.7% chance that at least one but at most two adults in the sample believes in the ghost
12.
1.14≅1
There will be one adult out of three we expect to believe in the ghost
Step-by-step explanation:
The probability distribution is constructed using binomial distribution.
We have to construct the probability distribution of the number adults believe in ghosts out of three adults. so,
x=0,1,2,3
n=3
p=probability of adults believe in ghosts=0.38
The binomial distribution formula
nCxp^xq^n-x=3cx0.38^x0.62^3-x
is computed for x=0,1,2,3 and the results depicts the probability distribution of the number adults believe in ghosts out of three adults.
x P(X)
0 0.238
1 0.438
2 0.269
3 0.055
11.
P(at least one but at most two adults in the sample believes in the ghost )= P(x=1)+P(x=2)=0.437+0.269=0.707
P(at least one but at most two adults in the sample believes in the ghost )=70.7%
12. E(x)=n*p
here n=3 adults and p=0.38
E(x)=3*0.38=1.14
so we expect one adult out of three will believe in the ghosts.
If x = 1 the the answer would be <span>2.01715045524.</span>
I don't Clearly understand your question but I think it is 0.428571
