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pentagon [3]
2 years ago
13

One small airplane has 44 seats. The flight crew sits in two of these seats. The remaining seats are divided equally into 7 rows

for passengers. Explain how you would write a numerical expression to model the number of seats in each passenger row. PLEASE HELP ME!
Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
5 0

The number of seats in each row is an illustration of mathematical expressions.

  • <em>The numerical expression for the number of seats in each row is: </em>\mathbf{\frac{44 - 2}{7}}<em />
  • <em>The number of seats in each row would be 6</em>

The given parameters are:

\mathbf{Total\ Seats = 44}

\mathbf{Flight\ Crew = 2}

\mathbf{Rows = 7}

So, the remaining seat is calculated as:

\mathbf{Remaining = Total\ Seats - Flight\ Crew }

Substitute known values

\mathbf{Remaining = 44 - 2}

The number of seat in each row is calculated as:

\mathbf{Seats = \frac{Remaining}{Rows}}

Substitute known values

\mathbf{Seats = \frac{44 - 2}{7}}

Hence, the numerical expression for the number of seats in each row is:

\mathbf{\frac{44 - 2}{7}}

When the expression is solved, the number of seats in each row would be 6

Read more about numerical expressions at:

brainly.com/question/4884465

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(7 + 7i)(2 − 2i)
Ostrovityanka [42]

The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)

\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)

\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

=21-21i

After converting into the exponential form:

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0
2 years ago
Number 11 please help IF YOU GET THE ANSWER RIGHT I WILL GIVE YOU free 25 points
Effectus [21]

Answer:

See photo (again)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the
LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1

The probability that at most 12 ties are too tight is P=1.

5 0
3 years ago
The price of a television was reduced from 250 to 200. by what percentage was the price of the television reduced
Murljashka [212]

Answer:

20%

Step-by-step explanation:

We can start by finding out how much the price of the television was reduced by.

250 - 200 = 50

Now, we need to know what percent of 250 is 50? Let x represent the percent of 250 that is 50. Using this, we can set up an equation:

<u />x\%\times 250=50

Notice that a percentage can also be written as that number over 100.

\frac{x}{100}\times250=50

\frac{250x}{100}=50

Reduce the fraction (250 and 100 have a common factor of 10)

\frac{25x}{10}=50

Reduce the fraction again (25 and 10 have a common factor of 5)

\frac{5x}{2}=50

Multiply both sides by two

5x=100

Divide both sides by 5

x=20

Therefore the price of the television was reduced by 20%.

4 0
2 years ago
Mary spent $100 for $150 worth of merchandise. What percentage did she save?
ankoles [38]

66.6% because 100 is 2/3rds of 150

5 0
3 years ago
Read 2 more answers
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