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LenKa [72]
4 years ago
14

Write the equation of a straight line passing through the point (1,8) and perpendicular to y=3x+2

Mathematics
1 answer:
Neko [114]4 years ago
5 0
Hello there!

The first thing you must do is to find the slope of the line. To do this, find the negative reciprocal of your current equation. Since your current slope is 3, the negative reciprocal of that would be -1/3, which would be your slope.

Now that you have your slope, plug it into the slope intercept equation as well as your known points:
(1,8)  m(slope)=-1/3
8=1(-1/3)+b

Now, solve for b:
8=1(-1/3)+b
8=-1/3+b
b=25/3

Now that you have the slope and the b value, you can conclude that your equation would be:
y=-1/3x+25/3
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Answer:

a.0.12

b. Dependent

Step-by-step explanation:

a. The two events mentioned here are " print book is purchases" and "customer using gift card". P(P)=0.6 and P(C)=0.2. we have to calculate the probability of print book selection for purchase and payment is made through gift card i.e. P(P∩C). P(P∩C)=P(P)*P(C)=0.6*0.2=0.12.

b. If P(A∩B)=P(A)*P(B), then the two events are independent. Here in the given situation two independent variables are "purchase of e-book" and  "payment made using gift card"

P(E)=0.4

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P(E and G)=P(E∩G)=0.1

P(E)*P(G)=0.4*0.2=0.08 that is not equal to 0.1. So, the two events "e-book is purchased" and "Payment made by customer using gift card" are not independent.

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3 years ago
Put the following numbers in order from least to greatest: √42, 7, 6, √38.
tamaranim1 [39]

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6, √38, √42, 7

Step-by-step explanation:

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3 years ago
Select all equations which are equivalent to 2(x +3) =20
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Please help me with this question please
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Your answer is right. to solve it you would move the 10 over to get 10x^2-29x+10=0. i would solve by chunking and breaking -29x into -25x and -4x. This will give us (10x^2-25x)+(-4x+10). now factor both get inside the parenthesis the same. 5x(2x-5)+-2(2x-5). Now combine the factors you took out with what is inside to get (5x-2)(2x-5)
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4 years ago
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