Answer:
19.75%
Step-by-step explanation:
Since we are trying to find the probability for a sequence of events then we need to multiply the probability of each event happening separately from each other. Since the probability of it raining on a single day is 2/3 we need to multiply this value with itself 4 times (one for each day).
2/3 * 2/3 * 2/3 * 2/3 = 16/81 or 0.1975 or 19.75%
Therefore the probability would be 16/81 or 0.1975 or 19.75%
Answer:
The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is 
.
Step-by-step explanation:
As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:
Where:
, 
- Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.
- Least distance of directrix with respect to vertex, dimensionless.
Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:
Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is .
Answer:
Add 1 to both sides of the equation.
Subtract 3 from both sides of the equation.
Step-by-step explanation:
The inverse of a function refers to that function that tends to undo another function.
If we intend to find the inverse of the function, f(x) = 3+ V2 - 1, we have to first add 1 to both sides of the equation and subsequently subtract 3 from both sides of the equation before taking the square root of both sides to obtain the inverse function.
Step-by-step explanation:
I hope this helps you :)
<em><u>-KeairaDickson</u></em>
Answer:
y=-1/4x+5
Step-by-step explanation:
perpendicular lines have slopes that multiply to -1.
Our given line:
y=4x-5
the slope (m) in it is 4. To find the slope of the perpendicular line:
4m=-1
divide by 4
m=-1/4
the slope of the new line is -1/4
here's our equation so far:
y=-1/4x+b
Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)
so substitute (-4,6) into the equation
6=-1/4(-4)+b
6=1+b
5=b
the y intercept is 5
so our equation is:
y=-1/4x+5
hope this helps! :D
Answer:
Step-by-step explanation:
Its correct corrdenates are -8, 1 and 5, -3
