What is the reason for each step in the solution of the inequality?

Mathematics

2 answers:

lapo4ka [179]3 years ago

6 0

The <em><u>correct answers</u></em> are:

Distributive property; subtraction; addition property of equality.

Explanation:

To get from the first step to the second step, the terms inside parentheses have been multiplied by -2. The property that allows us to multiply through parentheses, or distribute through parentheses, is the distributive property.

To get from the second step to the third step, the -6 and 4 have been subtracted; this means the reason for this is subtraction.

To get from the fourth step to the fifth step, 10 has been added to each side. The addition property of equality allows us to do this.

lakkis [162]3 years ago

3 0

The second one is Distributive property.
The third one is Combine Like Terms.
The fourth unanswered one is Addition Property of Order.

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Among 46- to 51-year-olds, 28% say they have called a talk show while under the influence of peer pressurepeer pressure. Supp

sasho [114]

Answer:

0.8997, 0.9999

Step-by-step explanation:

Given that among 46- to 51-year-olds, 28% say they have called a talk show while under the influence of peer pressure.

i.e. X no of people who say they have called a talk show while under the influence of peer pressure is binomial with p = 0.28

Each person is independent of the other and there are only two outcomes

n =7

a) the probability that at least one has not called a talk showcalled a talk show while under the influence of peer pressure

= $P(Y\geq 1)$ where Y is binomial with p = 0.72

= $1-(1-0.72)^7\\=0.9999$

b) the probability that at least one has called a talk showcalled a talk show while under the influence of peer pressurepeer pressurethe probability that at least one has not called a talk showcalled a talk show while under the influence of peer pressure

= $P(x\geq 1) =1-P(0)\\= 1-(1-0.28)^7\\=0.8997$