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Rufina [12.5K]
3 years ago
8

4. 4x-(3/5)=(2/5) 5. x-13+4x=22 6. -36=(-6)(2x-14)

Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

4.1/4

5.7

6.10

Step-by-step explanation:

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If the probability of selecting, without replacement, 2 red marbles from a bag containing only red and blue marbles is 3 55 and
Marat540 [252]

Answer:

Step-by-step explanation:

Let T = the TOTAL number of marbles in the bag.

We are told that 3 of those marbles are red

P(select a red marble first) = 3/T

Once we've removed the first red marble, there are T-1 marbles remaining and 2 of them are red

So, P(select a red marble second) = 2/(T-1)

Okay, now let's use probability rules to answer the question....

P(select 2 red marbles) = P(select a red marble first AND select a red marble second)

= P(select a red marble first) x P(select a red marble second)

= 3/T x 2/(T-1)

= 6/(T² - T)

We're told that P(select 2 red marbles) = 3/55

So, we can write: 6/(T² - T) = 3/55

Cross multiply to get: 3(T² - T) = (6)(55)

Divide both sides by 3 to get: T² - T = (2)(55)

Evaluate: T² - T = 110

Rearrange: T² - T - 110 = 0

Factor: (T - 11)(T + 10) = 0

So, EITHER T = 11 OR T = -10

Since T cannot be negative, it must be the case that T = 11

6 0
2 years ago
If AC=12, BC=3, find CE<br> 1) 3 square root of 3<br> 2) 6<br> 3) 18
azamat

Answer:

2) 6

Step-by-step explanation:

CE^2 = BC * AC

CE^2 = 3 * 12

CE^2 = 36

CE = 6

7 0
3 years ago
Read 2 more answers
B.<br> f(x) = -1x - 4; Find f(-3)
Margaret [11]

Answer:

f(-3) = -1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Functions
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = -1x - 4

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function f(x)]:                                                                          f(-3) = -1(-3) - 4
  2. Multiply:                                                                                                             f(-3) = 3 - 4
  3. Subtract:                                                                                                            f(-3) = -1
4 0
3 years ago
Given that f(x) = 6x + 2 and g(x) = solve for g(f(1)).
bixtya [17]
f(x)=6x+2\\\\&#10;g(f(1))=6*1+2=6+2=8\\\\&#10;Solution\ is \ g(x)=8
4 0
3 years ago
Just help me out with this polynomial i need help <br> { -m^{2} + 6} + { -4m^{2} + 7m + 2} =
PolarNik [594]

Answer:

-5m^2+7m+8

Step-by-step explanation:

Here, we add up two polynomials shown.

The polynomials are:

[-m^2 + 6]+[-4m^2 +7m + 2]

In order to add up the 2 polynomials shown, we have to see the "like terms" and add them up.

We add up the "m^2" terms and the constant (number) terms. There is one term with "m", so we leave it like that. Let's add up. Shown below:\

[-m^2 + 6]+[-4m^2 +7m + 2]\\=-m^2-4m^2+6+2+7m\\=-5m^2+7m+8

This is the sum of the 2 polynomials shown:  -5m^2+7m+8

7 0
3 years ago
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