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riadik2000 [5.3K]
3 years ago
15

Solve the system of linear equations by substitution. Check your solution.

Mathematics
1 answer:
bearhunter [10]3 years ago
8 0
1. X+2=3x-4
6=2x
x= 3

2. y= 8-x
8-x = 3x+4
4= 4x
X= 1

3. -2x +3(2x+7)=9
-2x + 6x + 21 = 9
4x = -12
x= -3
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Sow your work plz and thank you! Best answer gets brainliest!
ELEN [110]
  • First of all, a 2 foot kangaroo is casting a 7 foot shadow.
  • Next we do 7 divided by 2 which equals 3.5.
  • Since we know the shadow is going to be 3.5x the object size we have to divide its shadow by 3.5
  • 14 divided by 3.5 is  4 so the Eucalyptus tree is 4ft long

<u><em>    Your answer=4ft </em></u>

<u><em></em></u>

Hope this helps!

8 0
3 years ago
Read 2 more answers
The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t
damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that \mu = 3

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494

P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240

P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240

Then

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0
3 years ago
PLEASE HELP ASAP!!! (ii only)
mixer [17]
The equation of the tangent line can be found using slope formula and fact that slope = dy/dx.

\frac{dy}{dx} = \frac{y - y_0}{x - x_0}

where (x0,y0) is point A ---> (0,-1)

Then rearrange equation into slope-intercept form:
y = \frac{dy}{dx}(x - 0) -1

Finally sub in x=0 into dy/dx to get slope at the point (0,-1)

y = 3x -1
6 0
3 years ago
To create an entry code you must choose the first three letters and three single digit numbers how many different entry code can
Dmitry_Shevchenko [17]

Answer:

9

Step-by-step explanation:

3*3=9

ABC and 123

A1 B1 C1 A2 B2 C2 A3 B3 C3

7 0
3 years ago
How do i solve this rational expression r-4/5r=1/5r+1
NNADVOKAT [17]

r - 4/5r  =  1/5r + 1

Subtract  1/5r from each side:    r - 4/5r - 1/5r  =  1

Combine all the 'r' terms on the left side: 

                                 r - 5/5r  =  1

                                 r  -  r  =  1

                                       0  =  1

There is no value of 'r' that can make ' 0 = 1 ' a true statement.
So the equation has <em>no solution</em>.


4 0
3 years ago
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