Step-by-step explanation:
If a variables varies jointly, we can just divide it by the other variables in relation to it.
For example, since p variables jointly as q and square of r, then

where k is a constant
First, let find k. Substitute p= 200
q= 2, and r=3.



Now, since we know our constant, let find p.

Q is 5, and r is 2.



Answer:
x intercept is x=3
y intercept is y=-3
Step-by-step explanation:
We can write this equation in a simpler way to find the values needed. Lets do it. Take:
x-y=3
And sum y in both sides, as we know the equality will maintain:
x-y+y=3+y
x = 3+ y
Now subtract 3 in both sides:
x-3 = y+3-3
x-3=y
So, we can rewrite our equation as y=x-3
The x intercept is a value of x such that the equation in equal to zero; in other words, is the value of x when y is zero. It is also called a zero root. Graphically, its the x value when the function passes trough the x-axis. Lets find if, we nned that:
x-3 = 0
If we sum 3 in both sides:
x-3+3=3
x=3
So, x=3 is x intercept
For finding the y intercept we need the value of y when x is zero. Graphically, is the value of y obtained when the function passes trough the y-axis. So, replace x with 0:
0-3=y
y=-3
Another way to get it is knowing that the y intercept in a polynomial is always the independent term, the one that has no x or y, which in this case is -3.
Answer:
the required probability is 0.09
Option a) 0.09 is the correct Answer.
Step-by-step explanation:
Given that;
mean μ = 7
x = 4
the probability of exactly 4 bridge construction projects taking place at one time in this state = ?
Using the Poisson probability formula;
P( X=x ) = ( e^-μ × u^x) / x!
we substitute
P(X = 4) = (e⁻⁷ × 7⁴) / 4!
= 2.1894 / 24
= 0.0875 ≈ 0.09
Therefore the required probability is 0.09
Option a) 0.09 is the correct Answer.
The answer to the math question
384 step by step explanation: