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Anuta_ua [19.1K]
3 years ago
14

The length of a rectangle is twice its width. if the perimeter of the rectangle is 60 cm , find its length and width.

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0
Largeur = x 

longueur  = 2 x 

2 ( x + 2 x ) = 60 

2 x + 4 x = 60

6 x = 60
x = 10 

largeur = 10  et longueur = 20 
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I'm sorry but these are the multiple choice answers.
Sunny_sXe [5.5K]
\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]


\bf \qquad 
\begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array}&
\begin{array}{llll}

\end{array}\\
pymnt=\textit{periodic payments}\to &200\\
r=rate\to 7\%\to \frac{7}{100}\to &0.07\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, four quarters}
\end{array}\to &4\\

t=years\to &12
\end{cases}
\\\\\\
A=200\left[ \cfrac{\left( 1+\frac{0.07}{4} \right)^{4\cdot 12}-1}{\frac{0.07}{4}} \right]
7 0
3 years ago
If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?
Ipatiy [6.2K]

Answer:

P(X

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable of interest for a population, and for this case we know the distribution for X is given by:

X \sim N(5.43,0.54)  

Where \mu=5.43 and \sigma=0.54

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability on this way:

P(Z

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

6 0
3 years ago
Write a reciprocal function with asymptotes x=4 and y=-9.
gayaneshka [121]
Attached the solution and work.

5 0
3 years ago
The product of two consecutive positive integers is greater than their sum by 209. Find these numbers.
Delicious77 [7]

Answer:

I think it is -4 and -3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Annette bought 3 notebooks for $0.80 each and a pack of pens for $1.20. She gave the clerk some money and got back
kirill [66]
3(.80)+1.20= 3.60

3.60+1.40= 5

Annette gave the clerk $5
3 0
3 years ago
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