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lapo4ka [179]
3 years ago
12

4/9 divided by what equals 12

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0
(4/9)/x= 12

Multiply both sides by x
4/9=12x

Divide both sides by 12
(4/9)*(1/12)= 4/108
4/108= 1/27

Final answer: 1/27
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In a horse race with 5 horses, you make a bet by predicting the ranking of all 5 horses. Suppose you place your bet at random. W
lapo4ka [179]

Answer:

P( top two horses are predicted incorrectly in incorrect order)

= \frac{1}{2}

Step-by-step explanation:

In the horse race the outcome can be predicted in 5! = 120 ways.

Now suppose the top two horses were predicted incorrectly in incorrect order. Now, the  top horse can be predicted incorrectly in 4 ways.

Suppose the top horse was predicted to be in k-th position where k = 2, 3 ,4,5

so the second horse can be predicted to be in place from 1 to (k - 1)

So, the top two horses can be predicted  incorrectly in incorrect order

in \sum_{k =2}^{5}(k - 1) = 10 ways  

and for each prediction of the two the remaining horses may be predicted in 3! = 6 ways.

Hence ,

P( top two horses are predicted incorrectly in incorrect order)

= \frac{6 \times 10}{120}

=\frac{1}{2}

 

8 0
3 years ago
Y=-7X-14<br> 1. What is the y-intercept of the graph of the given function? How do you know?
34kurt

Answer:

(0, -14)

Step-by-step explanation:

The y intercept of the graph of the function is at (0, -14)

In the equation y = mx + b, the constant b is the y value of the y intercept. In this equation, b is equal to -14, so this means the y intercept is at (0, -14).

We can also find the y intercept by setting x equal to 0, then solving for y.

Substitute 0 for x:

y = -7x - 14

y = -7(0) - 14

y = 0 - 14

y = -14

So, the y intercept is at (0, -14)

7 0
3 years ago
What is the solution for the equation 3x + 0.3 = 3.3.
hoa [83]

Answer:

3x+0.3=3.3.

                               \            /    

                   We move all terms to the left:

                              3x+0.3-(3.3.)=0

        We add all the numbers together, and all the variables

                              3x+0.3-0=0

        We add all the numbers together, and all the variables

                              3x+0.3=0

     We move all terms containing x to the left, all other terms to the right

                               3x=-0.3

                                x=-0.3/3

                               x=-0.3/3

                               /             \

*eliza*

3 0
3 years ago
In the function ƒ(x) = x2 + x + 1, which of the following represents the output value? Select one or more: A. f(x) B. x2 C. x D.
kakasveta [241]

Answer:

The correct answer is f(x)

Step-by-step explanation:

The answer is f(x) because is the result of the quadratic sum, once the function is evaluated. Example:

Let be x= 2

Then f(2)= 4+2+1=7

Therefore the output is f(2) which is equal to 7.

6 0
3 years ago
Give the slope and the y-intercept of the line y = x – 4.
Airida [17]

Given:

The equation of a line is

y=x-4

To find:

The slope and y-intercept of the line.

Solution:

We have,

y=x-4          ...(i)

The slope intercept form of a line is

y=mx+b            ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

m=1,b=-4

Slope of the line = 1

y-intercept of the line = -4

The coordinate form of y-intercept is (0,b). So, the y-intercept of the given line is (0,-4).

Therefore, the slope of the line is 1 and the y-intercept is (0,-4).

5 0
3 years ago
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