45/50 and 46/50 could be one of the options of 4.5/5 and 4.6/5
For the probability of rain on julty 4h of 0.5 his expected profit is 8885.5 dollars.
<h3>What is probability?</h3>
The probability is occurrence of a certain event out of the total number f events that can happen.
Given in the question the probability of rain is 0.5 therefore the probability of not raining is also 0.5.
If it does not rain he makes a profit of 30427 dollars and if it rains he suffers a loss of 12656 dollars.
We know, the expected profit is,
= 0.5(30427) - 0.5(12656).
= 15213.5 - 6328.
= 8885.5 dollars.
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Answer:
Component form : (-7 , 2)
Step-by-step explanation:
P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)
4 + x = -3
x = -3 - 4
x = -7
5 + y = 7
y = 7 - 5
y = 2
Vector form : -7i + 2j
Component form : (-7 , 2)
We are given one angle is 3 times less than other.
Let us assume one angle measure is x degrees and another is 4x.
Because x is 3x less than 4x. ( We can check 4x-x= 3x)
Sum of complementary angles is 90 degrees.
So, we can setup an equation
First angle measure + first angle = 90 degrees.
x+4x = 90.
Adding x and 4x, we get 5x.
So, 5x = 90.
Dividing both sides by 5, we get
5x/5 = 90.
x= 18.
So, one angle is of 18 degrees.
Another angle = 4x = 4 times 18 = 72 degrees.
So, required angles are of 18 degree and 72 degree.
Answer:
Its 6 units away
Step-by-step explanation: