Answer:
Step-by-step explanation:
We know that the general equation of a circle can be written as :
(1), where (center )= (h,k) and r= radius
As per given , we have
(h,k) = (5,-4)
(x,y) =(-3,2)
Substitute these value in equation (1), we get
Since radius cannot be negative , thus r= 10 units
Put value of and (h,k) in equation (1), we get
Thus , the equation of given circle is .
Therefore , the solution of the given problem of probability comes out to be the medium addition because it has the greatest expected utility (0.72).
The primary goal of the structures within a methodology expression known as criteria is to provide an indication of the probability that the assertion is true or that a specific event will occur. Any number between zero and one, at which 0 is frequently indicated as a possibility and 1 has frequently used to denote a level of confidence, can be used to represent chance. The chance that a specific event will occur is displayed in a probability diagram.
Here,
The following formula can be used to determine each option's anticipated financial value:
=> EMV of big addition = (0.4 * $100,000) plus (0.6 * -$40,000) for a total of $16,000.
=> EMV of the middle addition is
= (0.4 * $40,000) plus (0.6 * -$10,000) for a total of $14,000.
=> EMV of a minor addition = (0.4 * 10,000) plus (0.6 * 5,000), which equals $6,000
The large addition should be chosen by the physicians as it has the greatest expected financial value of $16,000.
dividing each outcome's usefulness value by its likelihood, then adding the results:
=> (0.4 * 1.0) + (0.6 * 0.0) = 0.4 is the EU of the big addition.
=> (0.4 * 0.9) + (0.6 * 0.6) = 0.72 is the EU of medium addition.
Smaller EU = (0.4 * 0.5) + (0.6 * 0.6) = 0.58
The doctors should choose the medium addition because it has the greatest expected utility (0.72), according to expected utility theory.
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1/3 to the tenth power times 9 to the 4th power
a) an = 6an-1, a0 = 2
b) an = −2an-1, a0 = −1
c) an = an-1 – an-2, a0 = 2, a1 = −1
a) The first five terms of the sequence are 2, 12, 72, 432, 2592.
b) The first five terms of the sequence are -1, 2, -4, 8, -16.
c) The first five terms of the sequence are 2, -1, -3, -2, 1.
To find the first five terms of the sequence defined by each of these recurrence relations and initial conditions, we will use the given recurrence relation and initial conditions to find the next terms in the sequence.
a) an = 6an-1, a0 = 2
The first term is given as a0 = 2. We will use the recurrence relation to find the next terms.
a1 = 6a0 = 6(2) = 12
a2 = 6a1 = 6(12) = 72
a3 = 6a2 = 6(72) = 432
a4 = 6a3 = 6(432) = 2592
So, the first five terms of the sequence are 2, 12, 72, 432, 2592.
b) an = −2an-1, a0 = −1
The first term is given as a0 = -1. We will use the recurrence relation to find the next terms.
a1 = -2a0 = -2(-1) = 2
a2 = -2a1 = -2(2) = -4
a3 = -2a2 = -2(-4) = 8
a4 = -2a3 = -2(8) = -16
So, the first five terms of the sequence are -1, 2, -4, 8, -16.
c) an = an-1 – an-2, a0 = 2, a1 = −1
The first two terms are given as a0 = 2 and a1 = -1. We will use the recurrence relation to find the next terms.
a2 = a1 - a0 = -1 - 2 = -3
a3 = a2 - a1 = -3 - (-1) = -2
a4 = a3 - a2 = -2 - (-3) = 1
So, the first five terms of the sequence are 2, -1, -3, -2, 1.
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Answer:
a) 121
b) 425
Step-by-step explanation:
We are given the following information in the question:
198 + 727 + 200 + 725 = 925
This can be explained with the help of associative of addition and subtraction and commutative property of the addition.
Associative property:
Commutative property:
a)
b)
Please help me!!!!!!
∠MHL and ∠MHJ are supplementary angles that is some of the measure of both angle is 180°, because these angle are on a line.
∠MHL + ∠MHJ = 180°
substituting values.
⟹ (2m + 10)° + (5m + 100)° = 180°
⟹ 5m + 2m + 10 + 100 = 180°
⟹ 7m + 110 = 180°
⟹ 7m = 180° - 110°
⟹ 7m = 70°
⟹ m = 70/7
⟹ m = 10
m=10°
measure of ∠MHL is
⟹ (2m + 10 )°
⟹ 2(10°) + 10°
⟹ 20° + 10°
⟹ 30°
∠MHL=30°
Answer: is ( 1,4 )
Step-by-step explanation: