Answer:
And then replacing in the total probability formula we got:
And rounded we got 
That represent the probability that it rains over the weekend (either Saturday or Sunday)
Step-by-step explanation:
We can define the following notaton for the events:
A = It rains over the Saturday
B = It rains over the Sunday
We have the probabilities for these two events given:
And we are interested on the probability that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:
And for this case we can use the total probability rule given by:
And since we are assuming the events independent we can find the probability of intersection like this:
And then replacing in the total probability formula we got:
And rounded we got
That represent the probability that it rains over the weekend (either Saturday or Sunday)
Answer:
Step-by-step explanation:
or
Step-by-step explanation:
has:
1) amplitude=|a|
2) phase shift=b
3) period=2pi/c
d) vertical shift=d
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You are given the amplitude is 2. This means a could either be 2 or -2.
You are given phase shift is -1/8. This means b is -1/8.
You are given the period is pi. So we need to solve pi=2pi/c.
pi=2pi/c
Dividing both sides by pi gives:
1=2/c
Multiply both sides by c gives:
c=2
The vertical shift is -2 so d=-2.
The equation could either be:
y=2cos(2(x-(-1/8)))-2
or
y=-2cos(2(x-(-1/8)))-2
Simplifying a little gives:
y=2cos(2x+1/4)-2
y=-2cos(2x+1/4)-2
The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.
<h3>What is the solution of the equation?</h3>
The solution of the equation means the value of the unknown or variable.
The equation is given below.
x – 2 = √(2x – 1)
Square on both side, then we have
(x – 2)² = 2x – 1
x² – 4x + 4 = 2x – 1
x² – 6x + 5 = 0
x² – 5x – x + 5 = 0
x(x – 5) – 1(x – 5) = 0
(x – 5)(x – 1) = 0
x = 1, 5
The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.
More about the solution of the equation link is given below.
brainly.com/question/545403
#SPJ1
Answer:
3600 miles on 240 gal
Step-by-step explanation:
80 gal can go 1200
160 gal can go 2400
240 gal can go 3600
Recall that parallel lines have the same slope.
A line parallel to y= (-3/5)x + 8 would have the same equation EXCEPT for a different constant, C, replacing that '8.'
This new line passes thru (-5,-3). In y= (-3/5)x + C, replace x with -5 and replace y with -3. Then:
-3 = (-3/5)(-5) + C. Find C:
-3 = 3 + C. Thus, C = 6
Thus, the equation of the new line is y= -(3/5)x - 6
Check: Let x = -5 and y = -3. Is the above equation true?
-3 = (-3/5)(-5) - 6
-3 = 3 - 6, or -3 = -3.
