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sladkih [1.3K]
3 years ago
11

Which table was created using the equation y = 2x-1? PLEASE HELP!! QUICKLY

Mathematics
2 answers:
Shalnov [3]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Plug the values into the equation

Ostrovityanka [42]3 years ago
6 0

Option A is the correct answer.

If you look at the x and y values in table D, you’ll see that the change in y values is +2, while the change in x values is +1. Thus, the slope is 2/1 or 2.

Another way to look at it is by solving for the slope:

Using coordinates: (3, 5) (4 ,7):

Let x1 = 3

x2 = 4

y1 = 5

y2 = 7

m = \frac{(y_{2} - y_{1}) }{(x_{2} - x_{1}) }

m = \frac{7 - 5}{4 - 3} = \frac{2}{1} = 2

Therefore, the slope (m) = 2.

For the y-intercept, (b): it is the value of y when x = 0.

Let x = 0:

y = mx + b

y = 2(0) -1

y = -1

Therefore, the y-intercept is -1, which is also included in the given equation.

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Explain the level of uncertainties involve in concept of probability. The next generation of miniaturized wireless capsules with
RUDIKE [14]

Answer:

a) the probability that Both motors will operate satisfactorily in the capsule 0.6222

b) the probability that One motor will operate satisfactorily and the other will not is 0.3556

Step-by-step explanation:

Given that;

total number of motors N = 10

number of motors will not operate satisfactory m = 2

number of motors randomly selected n = 2

let X be number of motors will that will not operate successfully

here, X≅Hyper geometric (x; N,n,m)

The probability mass function of x is;

P (X = x)=  { m }   {N - m }

                  {x }    {n - x}

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { N }

                     { n  }

a)

the probability that both motors will operate satisfactorily in the capsule i.e no motor will not operate satisfactory

so

P(X= 0)  = { 2 }    { 10 - 2 }

                 {0 }    { 2 - 0}

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

so

P (X = 0)  = { 2 }   { 8}

              {  0 }   { 2  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

p(P= 0)=1×28 / 45 = 28/45 = 0.6222

Therefore the probability that Both motors will operate satisfactorily in the capsule 0.6222

b)

the probability that one motor will operate satisfactorily and the other will not.

P(X=1)  = { 2 }   { 10 - 2 }

              {  1 }    { 2 - 1  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

so

P(X=1)  = { 2 }   { 8 }

              {  1 }   { 1  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

P(X=1)  = 2×8 / 45 = 16/45 = 0.3556

Therefore the probability that One motor will operate satisfactorily and the other will not is 0.3556

3 0
3 years ago
Francisco needed to get his computer fixed. He took it to the repair
grin007 [14]

Answer:

  $95 per hour

Step-by-step explanation:

The total of charges is the sum of the cost of labor and the cost of parts. The cost of labor is the product of hours (5) and the cost per hour (x). Then the equation for total cost is ...

  total cost = parts cost + hours cost

  651 = 176 + 5x

  475 = 5x . . . . . . . subtract 176

  95 = x . . . . . . . . . divide by 5

The cost of labor per hour is $95.

6 0
3 years ago
How do you solve -3(4x+3)+4(6x+1)=43 ?
Anastaziya [24]

Answer:

x = 4

Step-by-step explanation:

Solution:

-3(4x + 3) + 4(6x + 1) = 43

-12x - 9 + 24x + 4 = 43

12x - 5 = 43

12x = 43 + 5

12x = 48

x = 48 / 12

Therefore, x = 4

PLEASE MARK ME AS BRAINLIEST!!!

4 0
3 years ago
A line is parallel to y = 3x + 8 and
Ad libitum [116K]

Answer:

y= 3x+16

Step-by-step explanation:

y = 3x + 8 ║ y= mx +b

Since lines are parallel, m=3

y= 3x+b

(-3, 7) intersect

  • 7= 3*(-3) + b
  • b= 7+9
  • b= 16

y= 3x+16

8 0
3 years ago
What is the total when the product of 57 and .22 is added to 7 percent of 57
11111nata11111 [884]
I believe the total is 16.53. First I took 7% of 57 is 3.99. Then multiplying 57 by 0.22 and adding that to 3.99 which is 16.53
6 0
3 years ago
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