Use the graph to estimate the solution of the system. x + 2y = 5, –x + 3y = 6 Which integers is the x-value between? What is the
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
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello!
There are two sites A and B,
Be the events A: finding oil in site Awith probability P(A)= 0.6
and B: finding oil in B with probability P(B)= 0.84
A and B are independent (there cannot be found oil of A in B and vice versa)
Remember, two events are independent when the occurrence of one of them doesn't modify the probability of occurrence of the other one in two repetitions of the experiment.
1) Find the probability that oil is found at both sites (round your answer to 2 decimal places)
If there is oil in both sites then event A and B are observed, symbolically:
P(A∩B)
Since both events are independent, the probability of the intersection of both events is equal to the product of each probability so:
P(A∩B)= P(A)*P(B)= 0.6*0.84= 0.504
2) Find the probability that oil is found at only one of the sites (round your answer to 2 decimal places)
In this case, you have two situations in which the statement can occur:
> "finding oil in A" and "not finding oil in B"
-or-
> "not finding oil in A" and "finding oil in B"
Be A' the complementary event of A, i.e. "not finding oil in region A", with probability P(A')= 1 - P(A)= 1 - 0.6= 0.4
And B' the complementary event of B, i.e. "not finding oil in region B", with probability P(B')= 1 - P(B)= 1 - 0.84= 0.16.
You can symbolize these two possible occurrences as:
Remember that "and" indicated intersection between two events, symbolized ∩, and "or" indicates the union between two events, symbolized ∪.
P((A∩B')∪(A'∩B))= P(A∩B') + P(A'∩B)= [P(A)*P(B')]+[P(A')*P(B)]= (0.6*0.16)+(0.4*0.84)= 0.432
I hope it helps!
Answer:
See below in bold.
Step-by-step explanation:
f(x, y, z) = x^2 + y^2 + z^2 at (6, 6, 7)
Taking partial derivatives
f'x = 2x + y^2 + z^2 --> f'x(6,6,7) = 12+36+49= 97
f'y = x^2 + 2y + z^2---> f'y(6,6,7) = 36 + 12 + 49 = 97
f'z = x^2 + y^2 + 2z ----> f'z(6,6,7) = 36 + 36 + 14 = 86.
f(6,6,7) = 36 + 36 + 49 = 121
So our linear approximation is:
L(x,y,z) = 121 + 97(x - 6) + 97(y - 6) + 86(z - 7)
Substituting the given values
f(6.012, 5.972,6.982)
= L(6.012, 5.972, 6.982) ≈ 121 + 97(6.012 - 6) + 97(5.972 - 6) + 86(6.982 - 7)
= 117.9.