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Paladinen [302]
1 year ago
9

4. Multiply each side of the following equation by 4 and

Mathematics
1 answer:
neonofarm [45]1 year ago
8 0

If the given inequality is -3x ≤ -7, then:

The equivalent inequality is the one in the third option:

-12x ≤ - 28

<h3></h3><h3>How to find the equivalent inequality?</h3>

If we have an inequality:

A > B

We can multiply both sides of that inequality for any real number larger than zero, and the inequality will not change.

In this case, our inequality is:

-3x ≤ -7

If we multiply both sides by 4 (which is a real larger than 4) then we will get the equivalent inequality:

4*(-3x) ≤ 4*(-7)

-12x ≤ - 28

Which is the third option.

Learn more about inequalities:

brainly.com/question/24372553

#SPJ1

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It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income ins
katovenus [111]

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

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Step-by-step explanation:

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