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The coefficient of x is the slope of the line , So the slope of the above equation is -3 .
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Remember from now on ,
Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .
Thus ;

m is the slope of the line which we want.

Negatives simplifies

Divide sides by 3


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We have following equation to find the point-slope form of the linear functions :

x(0) and y(0) are the coordinates of the point which the line passed through.


Add sides 8

Done....
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Answer:
First, we are going to find the sum of their age. To do that we are going to add the age of Eli, the age Freda, and the age of Geoff:
The combined age of Eli, Freda, and Geoff is 40, so the denominator of each ratio will be 40.
Next, we are going to multiply the ratio between the age of the person and their combined age by £800:
For Eli:
For Freda:
For Geoff:
We can conclude that Eli will get £180, Freda will get £260, and Geoff will get £360.
Step-by-step explanation:
Answer: Firstly in this question, we need to solve for
α
which is the part of the distribution of which we not looking for.
we can do this with the sum:
α
=
1
−
0.76
=
0.24
as
0.76
=
76
%
we also know that our Standard Normal Distribution is symmetric, so we must divide that
α
to be split on either side of our distribution. so we solve for:
α
2
=
0.24
2
=
0.12
then we find a correlating
z
-score for the value
0.12
and we get that
−
z
=
−
1.175
and
z
=
1.175
This becomes easier to understand when visualized, so observe how we do this sum.
Step-by-step explanation:
1/4 in decimal form is 0.25, so 0.4 is definitely greater.
Answer:
0.0001075
Step-by-step explanation:
The relation between halflife and rate at which it is decaying is given by

now in the above problem halflife is given as 2800 years substituting in the above equation we get the value of rate at which it is decaying to be rate=0.0001075.