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LiRa [457]
3 years ago
7

Find the equation of the line shown.

Mathematics
2 answers:
Ymorist [56]3 years ago
3 0

Answer:

y= -2x+9

Step-by-step explanation:

The equation will be written this way :

y= m*x+c

  • m is the slope
  • c is a constant
  • m =( f(4)-f(2))/(4-2)=(1-5)/2= -4/2 = -2
  • y = -2x+c
  • replace x and y by the coordinates of a point to get c
  • 1= -2*4+c
  • c = 9

y = -2x+9

marin [14]3 years ago
3 0

Answer:

y=-9/4.5+9

Step-by-step explanation:

To find the equation you do y=mx+b which means y= slope + y-intercept.

To get the slop you do rise over run which in this situation is 9/4.5. And the y-intercept is when the line touches the y-axis and in this problem it is 9. So the answer is y=-9/4.5+9

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The first table, representing <em>f</em>(<em>x</em>), is linear.  The data have a constant rate of change or slope:
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(between the last two points):<em>  m</em> = (34-30)/(2-1) = 4/1 = 4.

The second table, representing <em>g</em>(<em>x</em>), is exponential.  The data points are multiplied by the same constant between successive points.  2*2 = 4; 4*2= 8; 8*2 = 16, etc.
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3 years ago
Which statement describes the polygon? A. The polygon is equilateral but not equiangular. B. The polygon is equiangular but not
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3 years ago
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The distance traveled, in feet, of a ball dropped from a tall building is modeled by the equation d(t) = 16t2 where d equals the
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Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she attempts 10 penalty kicks. If each
arlik [135]

Answer:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)

And we can find the individual probabilities like this:

P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176  

P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072  

P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013  

And adding we got:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.65)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution to the problem

For this case we want to find this probability:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)

And we can find the individual probabilities like this:

P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176  

P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072  

P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013  

And adding we got:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262

5 0
3 years ago
Does anyone know how to do this who can pls explain it to me?
Elza [17]

Answer:

The unit rate is $8.89 /ft².

Step-by-step explanation:

Given:

$160 for 18ft².

So, by dividing with 18

\frac{160}{18} we get 8.888.

Now, round to nearest hundredth for $8.888 is $8.89.

Therefore, the unit rate is $8.89 /ft².

7 0
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