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3 years ago

This is just extra credit but it has stumped me

Mathematics

2 answers:

ahrayia [7]3 years ago

8 0

Answer:

1.Peter

2.Lia

3.Kenny

4.Jennie

5.Harvey

6.Joyce

7.Rick

8.Mark

Step-by-step explanation:

Jennie is at seat 4 and next to Harvey and because Harvey has a higher seat(first info) so Harvey seat number is 5. Peter is across Harvey(2nd info) so His seat number is 1. Lia is next to peter(7th info) and can't be on 8(3rd info) so she is on seat 2. Kenny is next to Lia (5th info) so she is on seat 3. kenny's across seat is Rick(4th info) so Rick is on number 7. Joyce is not sitting on 8(3rd info) so she is sitting on 6. and the last seat is Mark's that is 8.

solniwko [45]3 years ago

7 0

1- peter
2-lia
3-kenny
4-jennie
5-harvey
6-joyce
7-rick
8-mark

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Answer:

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3 years ago

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

lawyer [7]

Given:

The quadratic equation is:

$12a^2+9a+7=0$

To find:

The solution of the given equation in simplest form by using the quadratic formula.

Solution:

If a quadratic equation is $ax^2+bx+c=0$ , then the quadratic formula is:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

We have,

$12a^2+9a+7=0$

Here, $a=12,b=9,c=7$ . Using the quadratic formula, we get

$x=\dfrac{-(9)\pm \sqrt{(9)^2-4(12)(7)}}{2(12)}$

$x=\dfrac{-9\pm \sqrt{81-336}}{24}$

$x=\dfrac{-9\pm \sqrt{-255}}{24}$

$x=\dfrac{-9\pm i\sqrt{255}}{24}$ $[\because \sqrt{-a}=i\sqrt{a}]$

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3 years ago

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

victus00 [196]

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%

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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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