Answer:
The answer is below
Step-by-step explanation:
The question is not complete, what are the coordinates of point Q and R. But I would show how to solve this.
The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at (
) and B(
) is given by the formula:
If point Q is at () and S at () and R(x, y) divides QS in the ratio QR to RS is 3:5, The coordinates of R is:
Let us assume Q(−9,4) and S(7,−4)
Answer: 32 tickets
Step-by-step explanation:
Since the theater rents their space for $250 per night and the company charges $8 per ticket, the least number of tickets that must be sold in order to make a profit will be:
= ($250/8)
= 31 1/4
The number gotten above is the number that'll bring about an Equilibrium. To make a profit the company must sell at least 32 tickets
Any expression has many equivalents. For something like this, it is often convenient just to make use of the distributive property.
= (-1/2)*(-3y) +(-1/2)*(10)
= (3/2)y -5
Another equivalent has a common denominator
= (3y -10)/2
Answer: C
Step-by-step explanation:
By the difference of squares, 
Answer:
0.07
Step-by-step explanation:
According to the Question,
Let C denote the event that a student takes calculus & S denote the event that a student is on scholarship.
- Given, The probability that a student takes calculus or is on scholarship is 0.85 [P(C ∪ S)=0.85] . The probability that a student is on scholarship is 0.61 [P(S)=0.61] . and the probability that a student is taking calculus is 0.31 [P(C)=0.31] .
We have,
⇒P(C ∪ S)=0.85 , P(C)=0.31 , P(S)=0.61
We Know, P(C∩S) = P(C) + P(S) − P(C∪S)
Then, Put the Above Values in the Equation, we get
So, P(C∩S) = 0.31 + 0.61 - 0.85 ⇒ 0.07
- Thus, The probability that the student is taking calculus and is on scholarship is 0.07
