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2 years ago

For which of the following situations would a linear function be a reasonable choice for a mathematical model?

Mathematics

2 answers:

Harman [31]2 years ago

5 0

The third option is the best option.

Airida [17]2 years ago

4 0

The third option is the best fit for the application of a linear model.

In the first option, there is likely to be a correlation but it cannot be a linear one as goals are missed even from inside the keeper's box.

In the second option, it is safe to assume that each person will at least 2 other so this will follow an exponential model.

In the third option, the stopping distance is given by the equation of motion:
s = ut + 1/2 x at²
And this shows that the distance varies linearly with speed.

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A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

rusak2 [61]

m∠A =73.7°
m∠B = 16.3°
m∠C = 90°

3 0

2 years ago

Read 2 more answers

In the 2000 presidential election, three candidates split the vote as follows:

Lera25 [3.4K]

Answer:

c 23 and 0.46 are statistics and 0.484 is a parameter

True. For this case the value 0.46 represent t statistic since from the sample obtained we can calculate the sample proportion of people who voted for Gore like this:

$\hat p_{Gore]=\frac{X}{n}=\frac{23}{50}=0.46$

Where X represent the people with the characteristic desired in the random sample selected.

So then we can say that 23 and 0.46 represent statistics since comes from the sample. And the value 0.484 is obtained from the population so then represent a parameter.

Step-by-step explanation:

Previous concepts

A parameter is any "numerical quantity that characterizes a given population or some aspect of it". For this case we are interested on proportions and we denote the population proportion by $p$

A statistic is "used to estimate the value of a population parameter". In other words is just an estimation of the population parameter of interest. Four our case the sample proportion denoted by $\hat p$ represent the statistic for this case.

Solution for the problem

a 0.46 and 0.484 are statistics

False. 0.484 is not an statistic since it's the outcome from the original population and would represent the parameter "proportion of people who vote for Gore"

b 50 and 23 are statistics and 0.484 is a parameter

False. The sample size is not an statistic is just a value selected in order to calculate the statistic.

c 23 and 0.46 are statistics and 0.484 is a parameter

True. For this case the value 0.46 represent t statistic since from the sample obtained we can calculate the sample proportion of people who voted for Gore like this:

$\hat p_{Gore]=\frac{X}{n}=\frac{23}{50}=0.46$

Where X represent the people with the characteristic desired in the random sample selected.

So then we can say that 23 and 0.46 represent statistics since comes from the sample. And the value 0.484 is obtained from the population so then represent a parameter.

6 0

2 years ago

A group of people were asked whether they watch television or read newspaper to get daily news.

kenny6666 [7]

Watching television and reading newspaper are not independent events because P(A|B)=P(A) and P(B|A)=P(B) .
I might be wrong so try to look at it a little closer before you take my word for it.

7 0

2 years ago

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You’re assembling desserts with a friend. Together you can make 12 desserts in five minutes. Two more friends arrive and you are

Dafna1 [17]

Well there's 10 minutes in the second part so first 48/2 is 24. Now 24/4 (since there's 4 people so far) is 6, now 6*6 because there's now 6 people in total so the final answer is 36 in 5 minutes

8 0

2 years ago

Mrs. Stevens wants to have $18,000 in the bank in 3 years. If she deposits $9500 today at 4% compounded quarterly for 3 years, h

serg [7]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad 
\begin{cases}
A=\textit{current amount}\\
P=\textit{original amount deposited}\to &\$9500\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, 4 quarters a year}
\end{array}\to &4\\

t=years\to &3
\end{cases}$

so.. if she deposits a principal of 9,500 today, compounding quarterly for 3 years, she'll have A amount

how much additional amount? well, 18,000 - A

7 0

2 years ago

Read 2 more answers