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astraxan [27]
3 years ago
9

Which of the following situations most likely results in a negative correlation when the data is displayed on a scatter plot?

Mathematics
2 answers:
VashaNatasha [74]3 years ago
4 0
It's B because the car gets older as the years of ownership go up; resulting in a negative correlation on a graph. Hope I helped :)
Nataliya [291]3 years ago
3 0

Answer:

Negative correlation is determined by: Option: b

b) the age of car vs. the value of the car

Step-by-step explanation:

We know that a negative correlation is one in which the increase in one variable leads to the decrease ion the other variable i.e. the two variables have a inverse relation.

a)

the # of hours vs. the # of miles a person travels

This is an example of a positive correlation because with the increasing number of hours while travelling the more distance a person will travel.

Hence, option (a) is incorrect.

b)

the age of car vs. the value of the car

This is an example of a negative correlation.

Because as the commodity gets older it's price also get reduced.

c) the # of years spent in school vs. salary earned  

There is no correlation between the two variables as the time spent in school is nowhere related to salary.

Hence, option (c) is incorrect.

d) the age of a house vs. the amount of people who have lived in a house.

Here with the increase of one variable the other variable may increase or decrease it can't necessarily decrease.

Hence, option (d) is incorrect.

Hence, the correct option is:

b) the age of car vs. the value of the car

You might be interested in
why do we need imaginary numbers?explain how can we expand (a+ib)^5. finally provide the expanded solution of (a+ib)^5.(write a
zheka24 [161]

Answer:

a. We need imaginary numbers to be able to solve equations which have the square-root of a negative number as part of the solution.

b. (a + ib)⁵ = a⁵ + 5ia⁴b - 10a³b² - 10ia²b³ + 5ab⁴ + ib⁵

Step-by-step explanation:

a. Why do we need imaginary numbers?

We need imaginary numbers to be able to solve equations which have the square-root of a negative number as part of the solution. For example, the equation of the form x² + 2x + 1 = 0 has the solution (x - 1)(x + 1) = 0 , x = 1 twice. The equation x² + 1 = 0 has the solution x² = -1 ⇒ x = √-1. Since we cannot find the square-root of a negative number, the identity i = √-1 was developed to be the solution to the problem of solving quadratic equations which have the square-root of a negative number.

b. Expand (a + ib)⁵

(a + ib)⁵ =  (a + ib)(a + ib)⁴ = (a + ib)(a + ib)²(a + ib)²

(a + ib)² = (a + ib)(a + ib) = a² + 2iab + (ib)² = a² + 2iab - b²

(a + ib)²(a + ib)² = (a² + 2iab - b²)(a² + 2iab - b²)

= a⁴ + 2ia³b - a²b² + 2ia³b + (2iab)² - 2iab³ - a²b² - 2iab³ + b⁴

= a⁴ + 2ia³b - a²b² + 2ia³b - 4a²b² - 2iab³ - a²b² - 2iab³ + b⁴

collecting like terms, we have

= a⁴ + 2ia³b + 2ia³b - a²b² - 4a²b² - a²b² - 2iab³  - 2iab³ + b⁴

= a⁴ + 4ia³b - 6a²b² - 4iab³ + b⁴

(a + ib)(a + ib)⁴ = (a + ib)(a⁴ + 4ia³b - 6a²b² - 4iab³ + b⁴)

= a⁵ + 4ia⁴b - 6a³b² - 4ia²b³ + ab⁴ + ia⁴b + 4i²a³b² - 6ia²b³ - 4i²ab⁴ + ib⁵

= a⁵ + 4ia⁴b - 6a³b² - 4ia²b³ + ab⁴ + ia⁴b - 4a³b² - 6ia²b³ + 4ab⁴ + ib⁵

collecting like terms, we have

= a⁵ + 4ia⁴b + ia⁴b - 6a³b² - 4a³b² - 4ia²b³ - 6ia²b³ + ab⁴ + 4ab⁴ + ib⁵

= a⁵ + 5ia⁴b - 10a³b² - 10ia²b³ + 5ab⁴ + ib⁵

So, (a + ib)⁵ = a⁵ + 5ia⁴b - 10a³b² - 10ia²b³ + 5ab⁴ + ib⁵

5 0
3 years ago
Alguem pra me ajudar na minha prova de matematica daqui 10 min? 8 ano
o-na [289]
Noenoenoenoenoenoenoenoenoe
3 0
2 years ago
Solve the inequality.<br><br> y – 2 &gt; 3
wlad13 [49]

Answer:

hi

Step-by-step explanation:

im trying my best ill come back to this rn

4 0
3 years ago
I need help cause I got a b- in math
anygoal [31]

Answer:

2a plus 3/4b

Step-by-step explanation:

First distribute the fractions.

Second communitate variable a.

Third communitate variable b.

Finally simplify.

8 0
3 years ago
What is common fraction?​
Orlov [11]
<h2><u>ANS</u></h2>

a fraction (such as ¹/₂ or ³/₄) in which the numerator and denominator are both integers and are separated by a horizontal or slanted line — compare decimal fraction.

<h3><u>T</u><u>hank</u> <u>You</u> !!!</h3>
8 0
2 years ago
Read 2 more answers
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