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Sergeeva-Olga [200]
2 years ago
11

Find the values of x and y that satisfy both the equations 12x + 3y = 15 and 2x – 3y = 13.​

Mathematics
1 answer:
Olin [163]2 years ago
6 0

Answer:

X=1 and Y=1 in the first question

Step-by-step explanation:

simply 12X means 12*x, so x=1 and 12*1+3*1=15 question 1

and question 2

2X means 2*X x=8 so 2*8=16 so 16-3 because Y=1 and

16-3=13

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Answer:

B) 0.02

Step-by-step explanation:

<u>Use the Binomial Theorem</u>

\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=4)=\binom{30}{4}(0.30)^4(1-0.30)^{30-4}\\\\P(X=4)=\frac{30!}{4!(30-4)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30!}{4!(26)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30*29*28*27}{4*3*2*1}(0.30)^4(0.70)^{26}\\ \\P(X=4)=27405(0.30)^4(0.70)^{26}\\\\P(X=4)\approx0.0208

We have the probability of success, p=0.30, and the probability of failure, q=1-0.30=0.70. The binomial coefficient, \binom{n}{k}, represents the amount of possible combinations that k items can be chosen out of n items, with its respective formula \frac{n!}{k!(n-k)!}.

Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02

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Step-by-step explanation:

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