American three meter diver, Abigail Johnston earned a score of 324.75 in the semi-final round of the 2016 Olympics. She earned 302.85 in the final round of the Olympic competition. Calculate the absolute and relative change in her scores from the semi-final round to the final round of the 2016 Olympic diving competition.

Question

11-02-2020
Mathematics

contestada

American three meter diver, Abigail Johnston earned a score of 324.75 in the semi-final round of the 2016 Olympics. She earned 302.85 in the final round of the Olympic competition. Calculate the absolute and relative change in her scores from the semi-final round to the final round of the 2016 Olympic diving competition.

Respuesta :

Otras preguntas

What was the name given to the trade system where finished manufactured goods were sent to Africa in exchange for slaves who were sent to the Americas and ex

Contrast how lipids react in water with how carbohydrates act in water

total donations at the firemans ball failed to reach $940

The core (C), beneath the mantle (B), is the deepest and hottest layer of the Earth. It is made almost entirely of metal. The core is made of two layers: the ou

while poison is main suspect in the case, what are other ways a person could die of hypoxia

According to many scientists, how does increased pollution cause global warming? a. It causes acid rain, which leads to rising sea levels. b. It results in ch

With regard to the three types of attributes customers use in evaluating the quality of goods and services, a vacation would best be classified as high in

The correctly balanced equation for H2O2 → H2O + O2 is

Demonstrating the phenomenon of ________, zajonc found that cockroaches will run faster when ________. a. conformity; running together b. learning; reinforced c

List the states in the confederate states of america. how many total states are there in the confederacy?

dfbustos dfbustos · Answer 1 · 2020-02-11T06:56:09+01:00

Answer:

[tex] Abs= |303.85-324.75|=|-20.9|= 20.9[/tex]

Then we can conclude that we have a decrease of 20.9 points from the score in the semifinal round compared to the score in the final round in 2016.

[tex] \% Change=\frac{|303.85-324.75|}{324.75} *100 = \frac{20.9}{324.75} * 100= 6.44\%[/tex]

And we can interpret this as a decrease of 6.44 % from the semifinal score compared to the final score.

Step-by-step explanation:

For this case let's define the following events first

i= represent the score for the semifinal in 2016. This value was 324.75 (initial value)

f = represent the score for the final round in 2016. This value was 302.85 (final value)

We can calculate the absolute change with the following formula:

[tex] Abs= |Final -Initial|[/tex]

And if we replace we got:

[tex] Abs= |303.85-324.75|=|-20.9|= 20.9[/tex]

So we can conclude that we have a decrease of 20.9 points from the score at the semifinal round to the score at the final round in 2016.

Now for the relative % of change we can use the following formula:

[tex] \% Change= \frac{|Final -Initial|}{Initial} *100[/tex]

And if we replace we got:

[tex] \% Change=\frac{|303.85-324.75|}{324.75} *100 = \frac{20.9}{324.75} * 100= 6.44\%[/tex]

And we can interpret this as a decrease of 6.44 % from the semifinal score compared to the final score.

Nmmarti3 Nmmarti3 · Answer 2 · 2021-01-24T20:14:19+01:00

Answer:

Step-by-step explanation:

Absolute change = 1

Relative change = 2%

The correct answer

Absolute Change = -21.9

Relative Change = -6.74

The absolute change is found by taking the

final value-initial value = absolute change

302.85-324.75= -21.9

The relative change is found by taking the absolute change and dividing it by the initial value which then equals the relative change

-21.9/324.75=0.074365

Change the decimal to a percent by multiplying by 100%

-0.0674365 X 100% = -6.74365%

Round to the nearest hundredth of a percent to get -6.74%

SECOND QUESTION ANSWER

Abigail Johnston's diving score decreased by 21.9 points or 6.74% from the semi final to the final round of the 2016 Olympic diving competition

The Semi Final score is given as the initial score ore initial value. Therefore, her final score is the final value.

302.85-324.75 = -21.9

This tells us Abigail Johnston's score decreased from her semi final round to her final round.

Relative change divides by the initial value or 324.75

-21.9/324.75= -6.74%

Therefore Abigail Johnston's diving score decreased 21.9 points or 6.74% from the semi final to the final round of the 2016 Olympic diving competition.