How many solutions does the equation −3x−17=−17−3x have?

Mathematics

1 answer:

harkovskaia [24]3 years ago

8 0

Answer:

an infinite number of solutions

Step-by-step explanation:

−3x −17 = −17 −3x

left side = right side TRUE because -3x-17 is the same as -17-3x

we can rearrange the the equation

−3x −17 +17 = −17 +17−3x, add 17 on both sides of the equations

-3x = -3x, divide both sides by (-3)

x = x

Since this equation is always true ( for any number ) we have an infinite number of solutions (since there are is an infinity of numbers.)

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In a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about t

Alisiya [41]

Answer:

$\frac{7}{60}$

Step-by-step explanation:

Given that in a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about their past travel experience.

Since the two are drawn without replacement the first trial affects the second trial. In other words, each trial is not independent of the other.

a) Hence this cannot be binomial experiment. The reason is p=probability for each trial is not constant as first draw affect the probability for Ii draw

b) The probability that in a random sample of 2, no one has been abroad

=Prob of selecting both people from the group where no one has been abroad

We have in the group 35% i.e. 14 people never been to abroad

So required probability = Prob of selecting both from 14 people

= $\frac{14C2}{40C2} \\=\frac{14*13}{40*39} \\=\frac{7}{60}$