Given the inequality expression:
w−0.8>−2.4
Inequalities are expressions separated by an unequal sign.
According to the given question, we need to find the solution for "w"
w−0.8>−2.4
Add 0.8 to both sides
w−0.8+0.8>−2.4 + 0.8
w > -2.4 + 0.8
Simplify the result by adding to have:
w > -1.6
Find the number line representing the solution attached;
Learn more on number line here: brainly.com/question/24644930
Answer:
c = 0.165
Step-by-step explanation:
Given:
f(x, y) = cx y(1 + y) for 0 ≤ x ≤ 3 and 0 ≤ y ≤ 3,
f(x, y) = 0 otherwise.
Required:
The value of c
To find the value of c, we make use of the property of a joint probability distribution function which states that
where a and b represent -infinity to +infinity (in other words, the bound of the distribution)
By substituting cx y(1 + y) for f(x, y) and replacing a and b with their respective values, we have
Since c is a constant, we can bring it out of the integral sign; to give us
Open the bracket
Integrate with respect to y
Substitute 0 and 3 for y
Add fraction
Rewrite;
The is a constant, so it can be removed from the integral sign to give
Integrate with respect to x
Substitute 0 and 3 for x
Multiply both sides by
