Answer:
0.01083 or 1.083%
Step-by-step explanation:
This problem can be modeled as a binomial probability model with probability of success p = 0.56.
The probability of x=13 successes (a college student being very confident their major would lead to a good job) in a number of trials of n=15 is:
The probability is 0.01083 or 1.083%.
See attached scatter plot
this does not show a linear pattern
Let's solve the equation 2k^2 = 9 + 3k
First, subtract each side by (9+3k) to get 0 on the right side of the equation
2k^2 = 9 + 3k
2k^2 - (9+3k) = 9+3k - (9+3k)
2k^2 - 9 - 3k = 9 + 3k - 9 - 3k
2k^2 - 3k - 9 = 0
As you see, we got a quadratic equation of general form ax^2 + bx + c, in which a = 2, b= -3, and c = -9.
Δ = b^2 - 4ac
Δ = (-3)^2 - 4 (2)(-9)
Δ<u /> = 9 + 72
Δ<u /> = 81
Δ<u />>0 so the equation got 2 real solutions:
k = (-b + √Δ)/2a = (-(-3) + √<u />81) / 2*2 = (3+9)/4 = 12/4 = 3
AND
k = (-b -√Δ)/2a = (-(-3) - √<u />81)/2*2 = (3-9)/4 = -6/4 = -3/2
So the solutions to 2k^2 = 9+3k are k=3 and k=-3/2
A rational number is either an integer number, or a decimal number that got a definitive number of digits after the decimal point.
3 is an integer number, so it's rational.
-3/2 = -1.5, and -1.5 got a definitive number of digit after the decimal point, so it's rational.
So 2k^2 = 9 + 3k have two rational solutions (Option B).
Hope this Helps! :)
Answer:
The scale used to draw the plan is 1: 200.
Step-by-step explanation:
Given that two points A and B on a plan represent two localities 12 m apart, to determine, given that the segment AB is 6 cm long, the scale used to draw the plan, the following calculation must be performed:
12 m = 12 cm x 100 = 1200 cm
1200/6 = 200
Therefore, the scale used to draw the plan is 1: 200.
Answer:
5
Step-by-step explanation:
Let's call the length AD y.
Hope this helps!