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Svetlanka [38]
3 years ago
10

What is the equation of the line that passes through the point (-8,1) and has a slope of -3/4

Mathematics
2 answers:
ioda3 years ago
3 0

Answer:

y=-3/4-5

Step-by-step explanation:

plug in ordered pair  1= -3/4(-8)+b

solve for b. b= -5

plug in to y=mx+b

zloy xaker [14]3 years ago
3 0
Y=mx+b
Sub in what you know
Y=1
X=-8
1=-3/4(-8)+b
Solve for b
1=6+b
1-6=b
-5=b
Put it together
Y=-3/4x-5
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The computers of nine engineers at a certain company are to be replaced. Four of the engineers have selected laptops and the oth
Gala2k [10]

Answer:

(a) There are 70 different ways set up 4 computers out of 8.

(b) The probability that exactly three of the selected computers are desktops is 0.305.

(c) The probability that at least three of the selected computers are desktops is 0.401.

Step-by-step explanation:

Of the 9 new computers 4 are laptops and 5 are desktop.

Let X = a laptop is selected and Y = a desktop is selected.

The probability of selecting a laptop is = P(Laptop) = p_{X} = \frac{4}{9}

The probability of selecting a desktop is = P(Desktop) = p_{Y} = \frac{5}{9}

Then both X and Y follows Binomial distribution.

X\sim Bin(9, \frac{4}{9})\\ Y\sim Bin(9, \frac{5}{9})

The probability function of a binomial distribution is:

P(U=k)={n\choose k}\times(p)^{k}\times (1-p)^{n-k}

(a)

Combination is used to determine the number of ways to select <em>k</em> objects from <em>n</em> distinct objects without replacement.

It is denotes as: {n\choose k}=\frac{n!}{k!(n-k)!}

In this case 4 computers are to selected of 8 to be set up. Since there cannot be replacement, i.e. we cannot set up one computer twice or thrice, use combinations to determine the number of ways to set up 4 computers of 8.

The number of ways to set up 4 computers of 8 is:

{8\choose 4}=\frac{8!}{4!(8-4)!}\\=\frac{8!}{4!\times 4!} \\=70

Thus, there are 70 different ways set up 4 computers out of 8.

(b)

It is provided that 4 computers are randomly selected.

Compute the probability that exactly 3 of the 4 computers selected are desktops as follows:

P(Y=3)={4\choose 3}\times(\frac{5}{9})^{3}\times (1-\frac{5}{9})^{4-3}\\=4\times\frac{125}{729}\times\frac{4}{9}\\  =0.304832\\\approx0.305

Thus, the probability that exactly three of the selected computers are desktops is 0.305.

(c)

Compute the probability that of the 4 computers selected at least 3 are desktops as follows:

P(Y\geq 3)=1-P(Y

Thus, the probability that at least three of the selected computers are desktops is 0.401.

6 0
3 years ago
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Makovka662 [10]

Answer: you don't insult someone when they are being nice to you i i cant even do that c:

Step-by-step explanation:

4 0
3 years ago
Which method can you use to prove that the triangles are congruent
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Answer:

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Step-by-step explanation:

4 0
3 years ago
Using elimination to solve the system 2x + y = 8 and x + y = 4, which of the following could be the first step?
wolverine [178]
Answer: the option A.

The elimination method consist is adding the two equations in a way that one variable be eliminated..

In order to do that you might have to manipulate on of the equations prior to add the two equations.

In this case, ff you multiply the second equation by - 1 you will get

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4 0
3 years ago
Find all of the polar coordinates of point P if P = (7,pi/3)
oee [108]

If P has Cartesian coordinates (7, pi/3), then its Polar coordinates are (square root of ((7)^2 + (pi/3)^2) , arcton (pi/21))

<u>Explanation</u>:

The given coordinates  ( 7 ,  π /3 )  look as if they are already in polar form (radius  =  7 , and angle  =  π/3).

but in case  ( 7 ,  π /3 )  really are Cartesian coordinates (i.e.  ( x , y ) = ( 7 ,  π/3 ) )

The radius is given by  √( x /2  +  y/ 2)  and  the angle by the  arctan  ( y ,x ).

4 0
3 years ago
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