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3 years ago

What is the perimeter of a rectangle whose width is (x - 7) units and whose length is (3x + 10) units?

Mathematics

1 answer:

FromTheMoon [43]3 years ago

4 0

Answer:

The answer is "(8x + 6) units".

Step-by-step explanation:

Formula of perimeter is:

$\to \bold{P=2 \text{(Length +width)} }$

$=2((3x+10)+(x-7))\\\\=2(4x+3)\\\\= 8x+6$

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In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample

Rasek [7]

Answer:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

$p = \frac{17}{25}=0.68$

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

$X \sim Binom(n=6, p=0.68)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

$P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727$

6 0

3 years ago

What is the solution of the system? Use the elimination method. 2x+y=206x−5y=12 . Enter your answer in the boxes.

worty [1.4K]

2x+y=206x-5y=12
y+204x-5y=12
6y=204x=12

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3 years ago

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En un hospital el 30 % de los pacientes que acuden de manera diaria presentan problemas cardíacos. Si un día acuden al hospital

juin [17]

Answer:

21 pacientes tienen problemas cardíacos de los 70 pacientes diagnosticados

Step-by-step explanation:

Paciente con problema cardíaco del total de pacientes diagnosticados = 30%

Total de pacientes que van al hospital en un día = 70

El total de pacientes con problemas cardíacos entre los 70 pacientes diagnosticados es

30% de 70 = 30/100 * 70 = 21

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2 years ago

I have a past due balance of $87.50 and my new charges are $75.00. I was also charged a late fee of 15% of my past due balance.

Kitty [74]

Past due balance = $87.50
Late fee = 15% of $87.50 = 0.15*87.50 = $13.125
New charges = $75.00

New total = 87.50 + 13.125 + 75 = $175.625

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3 years ago

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SOMEONE PLZZ HELP

saul85 [17]

Square root of 27.

3^(3/2) is the same as square root of 3 cubed, which is 27. so square root of 27.

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3 years ago

What is the perimeter of a rectangle whose width is (x - 7) units and whose length is (3x + 10) units?​

What is the perimeter of a rectangle whose width is (x - 7) units and whose length is (3x + 10) units?