Answer:
The coordinates of the science lab is:
x = -14/3 , y = 1
Step-by-step explanation:
∵ P is (-8 , -1) and Q is (2 , 5)
∵ The point of the science lab is (x , y)
∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)
∴ 
∴ 
∴ 
∴ 
∴ The point of science lab = (-14/3 , 1)
Solution :
It is given that :
Number of students in a random sample majoring in communication or psychology at an university = 250
Total number of students majoring in psychology = 100
Number of students majoring in psychology those who are happy = 80
So number of students majoring in psychology those who are not happy = 20
Total number of students majoring in communication = 250 - 100 = 150
Number of students majoring in communication those who are happy = 115
So number of students majoring in psychology those who are not happy = 35
a). Probability of the students happy with their major choices are

= 0.78
b). Psychology major 
= 0.4
c). Probability of the students who are happy with the communication as the choice of major =
= 0.46
d). Students unhappy with their choice of major given that the student is psychology major =
= 0.018
Answer:
-2n - 12
Step-by-step explanation:
Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.
-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12
-2n - 12 is your answer
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Answer: Choice B) Investment decreases by 3% each month
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Explanation:
We won't use the value 2500 at all.
The base of the exponential is 0.97
Set this equal to 1+r and solve for r
1+r = 0.97
r = 0.97-1
r = -0.03
The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.
Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.
Answer:
Yes
Step-by-step explanation:
The answer using distributive property is the same as using original way to caculate it.
3+5(2+4) = 3+5(6) =3+20 =33