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nikitadnepr [17]
3 years ago
5

3y-24 useing the greatest common factor.

Mathematics
2 answers:
Svetach [21]3 years ago
8 0

Answer:

In 3y-24, 3 is the greatest common factor.

3y-24

=3(y-8)

frez [133]3 years ago
4 0

Answer:

In 3y-24, 3 is the greatest common factor.

3y-24

=3(y-8)

Step-by-step explanation:

Hope this helped have an amazing day!

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The probability that a biased dice will land on a six is 0.4. Marie is going to throw the dice 400 times. Work out an estimate f
steposvetlana [31]
I’m pretty sure it’s 16...?

4 0
3 years ago
What is the solution to the compound inequality 3x-8>-5 and 2x-7<5
-BARSIC- [3]

Answer:

<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>

Step-by-step explanation:

3x - 8  > -5              <em>add 8 to both sides</em>

3x > 3        <em>divide both sides by 3</em>

x > 1

2x - 7 < 5            <em>add 7 to both sides</em>

2x < 12          <em>divide both sides by 2</em>

x < 6

From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)

6 0
3 years ago
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation
aliina [53]

Answer:

a.  X~N(2,885, 651)

b.  0.086291

c.  0.00058

d.  3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting  the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

P(X

#substitute the given values in the formula to solve for P:

P(X

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058

Hence, the proportion of customers consuming over  5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0
3 years ago
What is the y-intercept of the following equation?<br> y=x2-3x-4
-BARSIC- [3]

Answer:

y- intercept is ( 0, -4 )  

Step-by-step explanation:

5 0
3 years ago
QUICK ALGEBRA 2 HELP PLEASE. NEEDED ASAP! 3 Q'S!
Goshia [24]
 1.              x -    4
x - 6|x² - 10x + 24
     - (x² -  6x)
               -4x + 24
             - (4x + 24)
                          0
The answer is C.

2. A. 9x² + 12x - 3
        3(x²) + 3(4x) - 3(1)
        3(x² + 4x - 1)

    B. 9x² + 3x - 5
        Not Factored

    C. 6x² + 10x - 4
        2(3x²) + 2(5x) - 2(2)
        2(3x² + 5x - 2)
        2(3x² + 6x - x - 2)
        2(3x(x) + 3x(2) - 1(x) - 1(2))
        2(3x(x + 2) - 1(x + 2))
        2(3x - 1)(x + 2)

    D. 6x² + 7x - 6
         Not Factored

The answer is C.

3.                  3x³ - 4x² + 3x - 6
   x + 2|3x⁴ + 2x³ - 5x² + 0x - 4
         - (3x⁴ + 6x³)
                     -4x³ - 5x²
                  - (-4x³ - 8x²)
                               3x² + 0x
                            - (3x² + 6x)
                                       -6x - 4 
                                    - (-6x - 12)
                                                8
The answer is A.
7 0
3 years ago
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