Answer:
0.2381 = 23.81%
Step-by-step explanation:
To calculate this probability, we can calculate the probability of each student of the 3 students interviewed being from middle georgia state college.
If inicially there are six students from middle georgia state college among the nine students, the probability of the first student chosen being from middle georgia state college is 6/9.
Then, as one student was already picked, we have now 5 students from middle georgia state college in a total of 8 students, so the probability of the second student will be 5/8.
In the same way, the third student will be picked in a group of 7 students, where 4 are from middle georgia state college, so the probability is 4/7.
Multiplying all the probabilities, we have the probability of all three students interviewed being from middle georgia state college:
P = (6/9) * (5/8) * (4/7) = 120/504 = 0.2381 = 23.81%
Answer:
see explanation
Step-by-step explanation:
(a ) calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = A(0, 6) and (x₂, y₂ ) = B(3, 0 )
= 
= 
= - 2
(b)
given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= 
(c)
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
(0, 6 ) is the y-intercept ⇒ c = 6
y = x + 6 ← equation of perpendicular line
Answer:
Step-by-step explanation:
It is mandatory (required) to use " ^ " for exponentiation:
(3x – 5)^2 = 4
Taking the square root of both sides, we get
3x - 5 = ±2, or
3x = 5 ±2, or
(a) 3x = 7 => x = 7/3, and
(b) 3x = 3, or x = 1
add them together then divide by 5
81 +86 +81 +76 +71 = 395
395/5 = 79
your average was 79
Answer:
(5,4)
Step-by-step explanation:
thanks to the second information we know that a certain second point of the line is (-1,0)
Now we can use a formula to find the equation of the line, that is
(y-y1)/(y2-y1) = (x-x1)/(x2-x1) where x and y 1 and 2 are the coordinates of the points.
(y+2)/2 = (x+4)/(-1+4)
y+2/2 = (x+4)/ 3
3y+6 = 2x+8
2x-3y+2 = 0
now we have to find the point that make true the equation (we have to sobstitute x and y with the coordinates of the given points)
1) -12 +15 + 2 = 0 ; 3 = 0 (wrong)
2) 6-4+2 = 0 ; 4 = 0 (wrong)
3) 8-15+2 = 0 ; -5 = 0 (wrong)
4) 10-12+2 = 0 ; 0=0 (true)
so (5,4) is the correct answer
