Whitch of the given systems is equivalent to the given system? In math

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

3 0

Answer:

Two systems of equations are equivalent if they have the same solution(s).

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The sum of the measures

marin [14]

Answer:

x = 44°

Step-by-step explanation:

The sum of the three angles is 180°.

So, x + x + 5 + 2x -1 = 180

4x + 4 = 180

4x = 176

x = 44°

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4 months ago

What is the fourth term of the sequence? a1 = m an = 2an-1 2m 4m 6m 8m

harkovskaia [24]

Answer:

8m.

Step-by-step explanation:

an = 2 an-1 means that each term in the sequence( except the first) is obtained by multiplying the last term by 2, so the first 4 terms are m, 2m, 4m, 8m.

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2 years ago

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In a survey at a local college, 18% of students reported that they do not own a mobile device with internet capabilities. if 20

Sholpan [36]

Answer:

0.64

Step-by-step explanation:

The probability that randomly selected student doesn't own a mobile device with internet capabilities is $p=0.18$ and the probability that randomly selected student owns a mobile device with internet capabilities is $q=1-p=1-0.18=0.82.$

If 20 students are selected at random, the probability that at most 5 students (0 students, 1 student, 2 students, 3 students, 4 students or 5 students) don't own a mobile device with internet capabilities is

$Pr=C_{20}^0p^0q^{20}+C_{20}^1p^1q^{19}+C_{20}^2p^2q^{18}+C_{20}^3p^3q^{17}+C_{20}^4p^4q^{16}+C_{20}^5p^5q^{15}=q^{20}+20pq^{19}+190p^2q^{18}+1,140p^3q^{17}+4,875p^4q^{16}+15,504p^5q^{15}\approx 0.6405021423\approx 0.64.$