First question:
1. Set equations equal to each other so 5x-9=2x+6
2. Put x's on one side so that 3x=15
3. Divide by 3 so that x=15
4. Substitute 15 in for x so that y=2(15)+6
5. Solve for y so that y=36
6. Thus the equations intersect at (15,36)
Second question:
1. Since for lines y=mx+b, and m=slope=3 you only need to write an equation with slope 3
2. y=3x+b, b can be any number
Answer: 0.2401
Step-by-step explanation:
The binomial distribution formula is given by :-
where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.
Given : The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately: p =0.7.
Number of trials : n= 4
Now, the required probability will be :
Thus, the probability that, in a randomly selected sample of four citizen-entities, all of them are of pension age =0.2401
Answer:
(x - 2) (x - 6)
Step-by-step explanation:
Factor the following:
x^2 - 8 x + 12
The factors of 12 that sum to -8 are -2 and -6. So, x^2 - 8 x + 12 = (x - 2) (x - 6):
Answer: (x - 2) (x - 6)
Question 1:
Statement Reasons
m∠ABD + m∠DBC = m∠ABC Angle addition postulate
60° + 40° = m∠ABC Substitution Property of equality
100° = m∠ABC Simplpifying
∠ABC is an obtuse angle Definition of obtuse angle
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Question 2:
Statement Reasons
AC = BD Given
AC = BC + BD Segment addition postulate
AB + BC = BC + CD Addition property of equality
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Question 3:
Angle congruence postulate
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Question 4:
Segment congruence postulate
Answer: 18 wrestling trophies.
Step-by-step explanation:
