Answer:
5/25, 1/5, or 20%
Step-by-step explanation:
Based on the experiment the dice lands on 2 five times, giving you the experimental probability
Answer: The area of the regions covered by grass is approximately 313.375 sq ft.
Step-by-step explanation:
Given: A company is building a new park in the shape of a circle with a 25 ft diameter.
Then radius = 
Required area = Area of circle - Area of rectangle + Area of triangle
Formula: Area of circle = 
Area of rectangle = length x width
Area of triangle = 0.5 x base x height
Area of circle = 
Area of rectangle = 20 ft x 10ft = 200 ft²
Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²
Required area = 490.625 -200+22.75 = 313.375 ft²
Hence, The area of the regions covered by grass is approximately 313.375 sq ft.
Answer:
y = 3
Step-by-step explanation:
The vertex of the parabola is (1,4) and the axis of the parabola is parallel to the positive y-axis.
So, the equation of the parabola will be (x - 1)² = 4a(y - 4) ....... (1)
Now, we have to get the value of a since the equation id the directrix is y = 4 - a.
Now, the parabola passes through the point (3,5) {Obtained from the graph).
Therefore, from equation (1), we get, 2² = 4a × 1, ⇒a = 1
Therefore, the equation of the directrix is y = 4 - 1 = 3. (Answer)
Answer: f(x) = (1/3)*IxI
Step-by-step explanation:
Ok, this is a problem of transformations.
First, if we have f(x), then:
f(x - a) is a translation of a units in the x-axis
f(x) + a is a translation of a units in the y-axis.
a*f(x) is a dilation/contraction.
if a is greater than 1, then the graph will be steeper (less wide)
if a is smaller than 1, then the graph will be wider.
Looking at the options, the correct option is:
f(x) = (1/3)*IxI
where we can see that a = (1/3)
