For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
80,000 pounds is bigger than 9 tons. If you convert 80,000 pounds to tons, it will be equal to 40 tons.
<em>Hope it helps</em>
Combine: -4 (33y+2)/ 23
simplify: -132y/23 -8/23
:D hope i helped
Thats easy for example the first question 3.2*2.8*6.1=?
first multiply 3.2*2.8 which equals 8.96 then multiply that number times 6.1 so like this-> 8.96*6.1 which your answer is 54.656.
So answers for numbers 1-3 are
1) 54.656
2) 90
3) 15.603
enjoy!
Answer:
y = 2x + 12
Step-by-step explanation:
Get the standard form equation into y = mx + b form.
Then, use the recipricol of the m value to get the slope for the perpendicular line.
Then, plug in the point and solve for the b value.
Work :
y = -1/2x-5/4
Perpendicular line slope : 2
y = 2x + b
-4 = 2(-8) + b
-4 = -16 + b
b = 12
y = 2x + 12
