Find the distance between the points (-5, -10) and (2, 4).
2 answers:
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Answer:
James bought 11 good tickets and 5 bad tickets.
Step-by-step explanation:
Given that:
Cost of each good ticket = $8
Cost of each bad ticket = $5
Total amount spent = $113
Total tickets bought = 16
Let,
x be the number of good tickets bought
y be the number of bad tickets bought
x+y=16 Eqn 1
8x+5y=113 Eqn 2
Multiplying Eqn 1 by 5
5(x+y=16)
5x+5y=80 Eqn 3
Subtracting Eqn 3 from Eqn 2
(8x+5y)-(5x+5y)=113-80
8x+5y-5x-5y=33
3x=33
Dividing both sides by 3
Putting x=11 in Eqn 1
11+y=16
y=16-11
y=5
Hence,
James bought 11 good tickets and 5 bad tickets.
Answer:
Probability that the company wins project A or project B is 0.50.
Step-by-step explanation:
We are given that a company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that the company wins project B is 0.25.
Also, Winning project A and winning project B are independent events.
Let the Probability of winning project A = P(A) = 0.40
Probability of winning project B = P(B) = 0.25
<u>Now, as we know that ;</u>
Probability that the company wins project A or project B =
So, we have to find the value of Probability of winning project A and B, i.e;
<em>Since, we are given that Winning project A and winning project B are independent events which means when this condition is given then;</em>
= 0.40 0.25 = 0.10
Now, Probability that the company wins project A or project B is given by;
= 0.40 + 0.25 - 0.10
= 0.65 - 0.10 = 0.55
Hence, probability that the company wins project A or project B is 0.50.