Solve the system of linear equations by substitution.
2 answers:
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Answer:
The answer is below
Step-by-step explanation:
The equation of a linear function is given as:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of variable y.
A) Since there is B bacteria in the Petri dish at 12:00 midnight and the number of bacteria increases after midnight by 25 every hour. Let h represent the time in hours and T represent the total number of bacteria, therefore the equation is:
T = 25h + B
B) Given that B = 5, h = 6, hence:
T = 25(6) + 5 = 150 + 5 = 155 bacteria
C) The equation of the graph is:
T = 25h + 5
The graph was plotted using geogebra online graphing.
Answer:
0.29
Step-by-step explanation:
We are given that there are 4 couples i.e. 8 people
They decide to play as teams of two and to select the teams randomly
Now we are asked How likely is it that every person will be teamed with someone other than the person he or she came to the party with
For people 1 , there are 6 options for pairing Since he or she cannot pair with his /her own partner
So, Choices For people 1 will be 6 person
So, Probability that person 1 will be teamed with someone other than the person he or she came to the party with =
So, Probability that every person (=8 person) will be teamed with someone other than the person he or she came to the party with =
Hence Probability that every person will be teamed with someone other than the person he or she came to the party with is 0.29