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artcher [175]
3 years ago
14

There are 1996 students at TCHS. The number of girls is 52 less than the number of boys . How many boys and girls

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
6 0

1996 - 52 =

Step-by-step explanation:

1944+52=1996 Answer:1944

TiliK225 [7]3 years ago
6 0

Answer: Boys = 1024

Girls = 972

Step-by-step explanation:

Let the number of boys = x ...... ( 1 )

Therefore the number of girls = x - 52 ..…... (2 ) ( x < 52 )

X + x - 52 = 1996

2x - 52 = 1996

2x = 1996 + 52

2x = 2048

X = 2048/2

X = 1024

Substitute for x in equation ...( 2 ) to get the number of girls

1024 - 52 = 972

Now , number of boys = 1024

And number of girls = 972

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Kryger [21]

Answer:

Infinite amount of solutions.

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Regular + Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

6y + 4 - 3y - 7 = 3(y - 1)

<u>Step 2: Solve for </u><em><u>y</u></em>

  1. Combine like terms:                         3y - 3 = 3(y - 1)
  2. Distribute 3:                                       3y - 3 = 3y - 3
  3. Subtract 3y on both sides:               -3 = -3

Here we see that there will be infinite amount of solutions. We can plug in any number <em>y</em> and it will render the equation true.

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3 years ago
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Write 3x^2-18x-6 in vertex form
Vedmedyk [2.9K]
The standard form of a quadratic equation is \displaystyle{ y=ax^2+bx+c, while the vertex form is:

                      y=a(x-h)^2+k, where (h, k) is the vertex of the parabola.

What we want is to write \displaystyle{ y=3x^2-18x-6 as y=a(x-h)^2+k

First, we note that all the three terms have a factor of 3, so we factorize it and write:

\displaystyle{ y=3(x^2-6x-2).


Second, we notice that x^2-6x are the terms produced by (x-3)^2=x^2-6x+9, without the 9. So we can write:

x^2-6x=(x-3)^2-9, and substituting in \displaystyle{ y=3(x^2-6x-2) we have:

\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11].

Finally, distributing 3 over the two terms in the brackets we have:

y=3[x-3]^2-33.


Answer: y=3(x-3)^2-33
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4 years ago
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The expected value of the discrete distribution, if you have to pay $.50 to pick one package at random, is of -$0.08.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

For this problem, considering the cost of $0.5, the distribution is given as follows:

  • P(X = 0.2) = 12/(12 + 15 + 23) = 12/50 = 0.24.
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Hence the expected value is given by:

E(X) = 0.2 x 0.24 - 0.3 x 0.1 - 0.2 x 0.46 = -$0.08.

More can be learned about the expected value of a discrete distribution at brainly.com/question/13008984

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Since, we have total of customers and the equivalent number to the percent=3

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