Answer:
So, we get that is P(A)=0.32.
Step-by-step explanation:
We know that:
We have the formula for probability:
So, we calculate:
We calculate:
So, we get that is P(A)=0.32.
To find P(A), use the law of total probability given that B1 and B2 are mutually exclusive and complementary events. Substituting the provided values, P(A) = 0.32.
The question is asking us to calculate P(A), given the values for P(A | B1) and P(A | B2), and the knowledge that B1 and B2 are mutually exclusive and complementary events. In probability, if events B1 and B2 are mutually exclusive and complementary, this means that one and only one of them can occur, and their occurrence covers all possible outcomes. We can use the law of total probability to find the overall P(A). The law of total probability states that P(A) = P(A | B1) * P(B1) + P(A | B2) * P(B2). Plugging the provided values into this formula, we get P(A) = .2 * .6 + .5 * .4 = .12 + .2 = .32. Therefore, P(A) is .32.
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Answer:
i am aware that this is already answered but here is proof that the person above is correct!
Step-by-step explanation:
Answer: A), No
Step-by-step explanation:
random variable x is given in the table.
1
Step-by-step explanation:
p(x≤20)=p(x=-10) +p(x=-5)+p(X=0) +p(x=5) +p(x=10)+ p(X=15)+p(X=20)
This, p(X≤20)=0.20+0.15+0.05+0.1+0.25+0.1+0.15
=1
Bombur’s salary increased by: . dollars
Answer:
To find out whose salary increased more in absolute terms, we'll calculate the absolute increase for each person.
For Sneezy:
Initial salary = $2500
Final salary = $4522
Sneezy's salary increased by:
Absolute increase = Final salary - Initial salary
Absolute increase = $4522 - $2500 = $2022
For Bombur:
Initial salary = $4000
Final salary = $6700
Bombur's salary increased by:
Absolute increase = Final salary - Initial salary
Absolute increase = $6700 - $4000 = $2700
Now, comparing the absolute increases:
Sneezy's salary increased by $2022.
Bombur's salary increased by $2700.
So, Bombur's salary increased more in absolute terms.
Step-by-step explanation:
What is the equation of the line in point-slope form?
4
= {(x + 4)
Oy+4=;
O y-4 = 2(x + 4)
N
Oy - 0 = 2(x-4)
Oy - 4 = 2(x -0)
4
-2.
2.
the equation of the line in slope-intercept form is:
y = (1/2)x - 2
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
From the graph, two points on the line are (-4, -4) and (4,0),
The formula for the slope of a line is:
m = (y₂ - y₁) / (x₁ - x₁)
where (x₁, y₁) and (x₂, y₂) are two points on the line.
Using the given points (-4, -4) and (4, 0), we can calculate the slope:
m = (0 - (-4)) / (4 - (-4))
m = 4 / 8
m = 1/2
Now that we know the slope, we can use the slope-intercept form of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
To find the y-intercept, we can use one of the givenpoints on the line. Let's use the point (-4, -4):
y = mx + b
-4 = (1/2)(-4) + b
-4 = -2 + b
b = -2
Therefore, the slope-intercept form of the line is y = (1/2)x - 2.
Learn more about Linear equations here:
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Answer:
A
Step-by-step explanation:
For point-slope form, you need a point and the slope.
y - y₁ = m(x - x₁)
Looking at the graph, the points you have are (4, 0) and (-4, -4). You can use these points to find the slope. Divide the difference of the y's by the difference of the x's/
-4 - 0 = -4
-4 - 4 = -8
-4/-8 = 1/2
The slope is 1/2. This cancels out choices C and D.
With the point (-4, -4), A is the answer.
Answer:
4.8 cm
Step-by-step explanation: